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712.3779
Jean-Luc Lehners
Jean-Luc Lehners, Paul J. Steinhardt
Non-Gaussian Density Fluctuations from Entropically Generated Curvature Perturbations in Ekpyrotic Models
5 pages, 2 figures. Sign error corrected and results generalized
Phys.Rev.D77:063533,2008; Erratum-ibid.D79:129903,2009
10.1103/PhysRevD.77.063533 10.1103/PhysRevD.79.129903
null
hep-th astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We analyze the non-gaussian density perturbations generated in ekpyrotic/cyclic models based on heterotic M-theory. In this picture, two scalar fields produce nearly scale-invariant entropic perturbations during an ekpyrotic phase that are converted into curvature modes {\it after the ekpyrotic phase is complete} and just before the big bang. Both intrinsic non-linearity in the entropy perturbation and the conversion process contribute to non-gaussianity. The range of the non-gaussianity parameter $f_{NL}$ depends on how gradual the conversion process is and the steepness of the scalar field potential during the ekpyrotic phase. Although a wider range is possible, in principle, natural values of the ekpyrotic parameters combined with a gradual conversion process lead to values of $-60 \lesssim f_{NL} \lesssim +80$, typically much greater than slow-roll inflation but within the current observational bounds.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:27:00 GMT" }, { "version": "v2", "created": "Sun, 24 Feb 2008 16:06:05 GMT" }, { "version": "v3", "created": "Tue, 2 Jun 2009 15:14:49 GMT" } ]
2014-11-18T00:00:00
[ [ "Lehners", "Jean-Luc", "" ], [ "Steinhardt", "Paul J.", "" ] ]
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712.378
Arik Yochelis
A. Yochelis, Y. Tintut, L.L. Demer, and A. Garfinkel
The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification
null
New J. Phys 10, 055002 (2008)
10.1088/1367-2630/10/5/055002
null
nlin.PS
null
Calcification and mineralization are fundamental physiological processes, yet the mechanisms of calcification, in trabecular bone and in calcified lesions in atherosclerotic calcification, are unclear. Recently, it was shown in in vitro experiments that vascular-derived mesenchymal stem cells can display self-organized calcified patterns. These patterns were attributed to activator/inhibitor dynamics in the style of Turing, with bone morphogenetic protein 2 acting as an activator, and matrix GLA protein acting as an inhibitor. Motivated by this qualitative activator-inhibitor dynamics, we employ a prototype Gierer-Meinhardt model used in the context of activator-inhibitor based biological pattern formation. Through a detailed analysis in one and two spatial dimensions, we explore the pattern formation mechanisms of steady state patterns, including their dependence on initial conditions. These patterns range from localized holes to labyrinths and localized peaks, or in other words, from dense to sparse activator distributions (respectively). We believe that an understanding of the wide spectrum of activator-inhibitor patterns discussed here is prerequisite to their biochemical control. The mechanisms of pattern formation suggest therapeutic strategies applicable to bone formation in atherosclerotic lesions in arteries (where it is pathological) and to the regeneration of trabecular bone (recapitulating normal physiological development).
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:39:59 GMT" }, { "version": "v2", "created": "Fri, 21 Dec 2007 21:43:51 GMT" }, { "version": "v3", "created": "Wed, 23 Jan 2008 22:27:10 GMT" }, { "version": "v4", "created": "Thu, 24 Apr 2008 18:35:22 GMT" } ]
2012-02-08T00:00:00
[ [ "Yochelis", "A.", "" ], [ "Tintut", "Y.", "" ], [ "Demer", "L. L.", "" ], [ "Garfinkel", "A.", "" ] ]
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712.3781
Hans De Raedt
H. De Raedt, K. De Raedt, K. Michielsen, K. Keimpema, and S. Miyashita
Event-by-event simulation of quantum phenomena: Application to Einstein-Podolosky-Rosen-Bohm experiments
Published paper with minor corrections
J. Comp. Theor. Nanosci. 4, 957 - 991, (2007)
null
null
quant-ph
null
We review the data gathering and analysis procedure used in real Einstein-Podolsky-Rosen-Bohm experiments with photons and we illustrate the procedure by analyzing experimental data. Based on this analysis, we construct event-based computer simulation models in which every essential element in the experiment has a counterpart. The data is analyzed by counting single-particle events and two-particle coincidences, using the same procedure as in experiments. The simulation models strictly satisfy Einstein's criteria of local causality, do not rely on any concept of quantum theory or probability theory, and reproduce all results of quantum theory for a quantum system of two $S=1/2$ particles. We present a rigorous analytical treatment of these models and show that they may yield results that are in exact agreement with quantum theory. The apparent conflict with the folklore on Bell's theorem, stating that such models are not supposed to exist, is resolved. Finally, starting from the principles of probable inference, we derive the probability distributions of quantum theory of the Einstein-Podolsky-Rosen-Bohm experiment without invoking concepts of quantum theory.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:40:31 GMT" }, { "version": "v2", "created": "Tue, 25 Dec 2007 17:54:16 GMT" } ]
2007-12-26T00:00:00
[ [ "De Raedt", "H.", "" ], [ "De Raedt", "K.", "" ], [ "Michielsen", "K.", "" ], [ "Keimpema", "K.", "" ], [ "Miyashita", "S.", "" ] ]
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712.3782
Ricardo Gaitan
J. L. Diaz-Cruz, R. Gaitan-Lozano, G. Lopez-Castro and C. E. Pagliarone
CKM-suppressed top quark decays t -> q + W in the SM and beyond
11 pages
Phys.Rev.D77:094010,2008
10.1103/PhysRevD.77.094010
null
hep-ph
null
Top quark decays are of particular interest as a mean to test the standard model (SM) predictions, both for dominant (t -> b + W) and rare decays (t -> q + W, cV, cVV, c phi^{0}, bWZ). As the latter are highly suppressed, they become an excellent window to probe the predictions of thories beyond the SM. In particular, we evaluate the corrections from new physics to the CKM-suppressed SM top quark decay t -> q + W (q = d, s), both within the an effective model with right-handed currents and the MSSM. We also discuss the perspectives to probe those predictions at the ILC.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:44:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Diaz-Cruz", "J. L.", "" ], [ "Gaitan-Lozano", "R.", "" ], [ "Lopez-Castro", "G.", "" ], [ "Pagliarone", "C. E.", "" ] ]
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712.3783
Johannes Hirn
J. Hirn, A. Martin (Yale) and V. Sanz (BU)
Benchmarks for new strong interactions at the LHC
null
JHEP 0805:084,2008
10.1088/1126-6708/2008/05/084
null
hep-ph
null
New strong interactions at the LHC may exhibit a richer structure than expected from simply rescaling QCD to the electroweak scale. In fact, a departure from rescaled QCD is required for compatibility with electroweak constraints. To navigate the space of possible scenarios, we use a simple framework, based on a 5D model with modifications of AdS geometry in the infrared. In the parameter space, we select two points with particularly interesting phenomenology. For these benchmark points, we explore the discovery of triplets of vector and axial resonances at the LHC.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:44:59 GMT" }, { "version": "v2", "created": "Mon, 24 Dec 2007 16:07:24 GMT" } ]
2009-01-06T00:00:00
[ [ "Hirn", "J.", "", "Yale" ], [ "Martin", "A.", "", "Yale" ], [ "Sanz", "V.", "", "BU" ] ]
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712.3784
Mamouni Ismail My
Mohamed Rachid Hilali and My Ismail Mamouni
The conjecture H: A lower bound of cohomologic dimension for an elliptic space
18 pages; Work exposed by the second author in the Algebraic topology conference of Angers, France, October 2007
null
null
null
math.AT
null
The goal of this paper is to ameliorate the sufficients conditions, already established by the first author so that the sum of the numbers of Betti, of 1-connected rational finite CW-complex, is higher than the dimension of his $\mathbb Q$-vectorial space of homotopy, we will present it in two aspects, one algebraic and another geometrical.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:45:42 GMT" }, { "version": "v2", "created": "Wed, 26 Dec 2007 09:24:05 GMT" } ]
2007-12-26T00:00:00
[ [ "Hilali", "Mohamed Rachid", "" ], [ "Mamouni", "My Ismail", "" ] ]
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712.3785
Steven R. White
Steven R. White and Ian Affleck
Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
12 pages, 19 figs
null
10.1103/PhysRevB.77.134437
null
cond-mat.str-el
null
We study the spectral function, $S(k,\omega)$ for the spin-1, one dimensional antiferromagnetic chain using a time-dependent density matrix renormalizaton group (DMRG) numerical method. We develop methods for extrapolating the time dependent correlation functions to larger times in order to enhance the frequency resolution. The resulting spectral functions are impressively precise and accurate. Our results confirm many qualitative expectations from non-linear $\sigma$ model methods and test them quantitatively. The critical wave-vector at which the single particle excitation emerges from the 2-particle continuum is estimated to be $0.23\pi-0.24\pi$.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:46:10 GMT" } ]
2009-11-13T00:00:00
[ [ "White", "Steven R.", "" ], [ "Affleck", "Ian", "" ] ]
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712.3786
Michael Hagan
Michael F. Hagan
Controlling Viral Capsid Assembly with Templating
submitted to Phys. Rev. E
null
10.1103/PhysRevE.77.051904
null
q-bio.BM
null
We develop coarse-grained models that describe the dynamic encapsidation of functionalized nanoparticles by viral capsid proteins. We find that some forms of cooperative interactions between protein subunits and nanoparticles can dramatically enhance rates and robustness of assembly, as compared to the spontaneous assembly of subunits into empty capsids. For large core-subunit interactions, subunits adsorb onto core surfaces en masse in a disordered manner, and then undergo a cooperative rearrangement into an ordered capsid structure. These assembly pathways are unlike any identified for empty capsid formation. Our models can be directly applied to recent experiments in which viral capsid proteins assemble around the functionalized inorganic nanoparticles [Sun et al., Proc. Natl. Acad. Sci (2007) 104, 1354]. In addition, we discuss broader implications for understanding the dynamic encapsidation of single-stranded genomic molecules during viral replication and for developing multicomponent nanostructured materials.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 19:56:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Hagan", "Michael F.", "" ] ]
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712.3787
Mark Hannam
Mark Hannam, Sascha Husa, Bernd Br\"ugmann, Achamveedu Gopakumar
Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
10 pages, 6 figures. Matches version published in PRD
Phys.Rev.D78:104007,2008
10.1103/PhysRevD.78.104007
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We compare results from numerical simulations of spinning binaries in the "orbital hangup" case, where the binary completes at least nine orbits before merger, with post-Newtonian results using the approximants TaylorT1, T4 and Et. We find that, over the ten cycles before the gravitational-wave frequency reaches $M\omega = 0.1$, the accumulated phase disagreement between NR and 2.5PN results is less than three radians, and is less than 2.5 radians when using 3.5PN results. The amplitude disagreement between NR and restricted PN results increases with the black holes' spin, from about 6% in the equal-mass case to 12% when the black holes' spins are $S_i/M_i^2 = 0.85$. Finally, our results suggest that the merger waveform will play an important role in estimating the spin from such inspiral waveforms.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:03:04 GMT" }, { "version": "v2", "created": "Sun, 23 Dec 2007 19:25:32 GMT" }, { "version": "v3", "created": "Wed, 26 Nov 2008 09:59:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Hannam", "Mark", "" ], [ "Husa", "Sascha", "" ], [ "Brügmann", "Bernd", "" ], [ "Gopakumar", "Achamveedu", "" ] ]
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712.3788
Cristian LaRocca
C. E. La Rocca, L. A. Braunstein and P. A. Macri
Evolution equation for a model of surface relaxation in complex networks
9 pages, 2 figures
Phys Rev E 77, 046120 (2008)
10.1103/PhysRevE.77.046120
null
cond-mat.stat-mech cond-mat.dis-nn
null
In this paper we derive analytically the evolution equation of the interface for a model of surface growth with relaxation to the minimum (SRM) in complex networks. We were inspired by the disagreement between the scaling results of the steady state of the fluctuations between the discrete SRM model and the Edward-Wilkinson process found in scale-free networks with degree distribution $ P(k) \sim k^{-\lambda}$ for $\lambda <3$ [Pastore y Piontti {\it et al.}, Phys. Rev. E {\bf 76}, 046117 (2007)]. Even though for Euclidean lattices the evolution equation is linear, we find that in complex heterogeneous networks non-linear terms appear due to the heterogeneity and the lack of symmetry of the network; they produce a logarithmic divergency of the saturation roughness with the system size as found by Pastore y Piontti {\it et al.} for $\lambda <3$.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:12:16 GMT" }, { "version": "v2", "created": "Mon, 3 Mar 2008 17:15:40 GMT" }, { "version": "v3", "created": "Tue, 3 Jun 2008 15:34:55 GMT" } ]
2009-11-13T00:00:00
[ [ "La Rocca", "C. E.", "" ], [ "Braunstein", "L. A.", "" ], [ "Macri", "P. A.", "" ] ]
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712.3789
Richard J. van Kooten
D0 Collaboration: V. Abazov, et al
Measurement of the B0_s semileptonic branching ratio to an orbitally excited D_s** state, Br(B0_s -> Ds1(2536) mu nu)
7 pages, 2 figures, LaTeX, version with minor changes as accepted by Phys. Rev. Lett
Phys.Rev.Lett.102:051801,2009
10.1103/PhysRevLett.102.051801
Fermilab-Pub-07/659-E
hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a data sample of approximately 1.3 fb-1 collected with the D0 detector between 2002 and 2006, the orbitally excited charm state D_s1(2536) has been observed with a measured mass of 2535.7 +/- 0.6 (stat) +/- 0.5 (syst) MeV via the decay mode B0_s -> D_s1(2536) mu nu X. A first measurement is made of the branching ratio product Br(b(bar) -> D_s1(2536) mu nu X).Br(D_s1(2536)->D* K0_S). Assuming that D_s1(2536) production in semileptonic decay is entirely from B0_s, an extraction of the semileptonic branching ratio Br(B0_s -> D_s1(2536) mu nu X) is made.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:17:46 GMT" }, { "version": "v2", "created": "Wed, 4 Feb 2009 17:01:28 GMT" } ]
2009-02-27T00:00:00
[ [ "D0 Collaboration", "", "" ], [ "Abazov", "V.", "" ] ]
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712.379
Arik Yochelis
Arik Yochelis and Alan Garfinkel
Front motion and localized states in an asymmetric bistable activator-inhibitor system with saturation
4 pages, 3 figures
Phys. Rev. E 77, R035204 (2008)
10.1103/PhysRevE.77.035204
null
nlin.PS
null
We study the spatiotemporal properties of coherent states (peaks, holes, and fronts) in a bistable activator-inhibitor system that exhibits biochemical saturated autocatalysis, and in which fronts do not preserve spatial parity symmetry. Using the Gierer-Meinhardt prototype model, we find the conditions in which two distinct pinning regions are formed. The first pinning type is known in the context of variational systems while the second is structurally different due to the presence of a heteroclinic bifurcation between two uniform states. The bifurcation also separates the parameter regions of counterpropagating fronts, leading in turn to the growth or contraction of activator domains. These phenomena expand the range of pattern formation theory and its biomedical applications: activator domain retraction suggests potential therapeutic strategies for patterned pathologies, such as cardiovascular calcification.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:18:59 GMT" }, { "version": "v2", "created": "Thu, 20 Mar 2008 20:23:13 GMT" } ]
2008-03-20T00:00:00
[ [ "Yochelis", "Arik", "" ], [ "Garfinkel", "Alan", "" ] ]
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712.3791
Johannes Berg
Johannes Berg
Dynamics of gene expression and the regulatory inference problem
revised version to appear in Europhys. Lett., new title
null
10.1209/0295-5075/82/28010
null
q-bio.MN
null
From the response to external stimuli to cell division and death, the dynamics of living cells is based on the expression of specific genes at specific times. The decision when to express a gene is implemented by the binding and unbinding of transcription factor molecules to regulatory DNA. Here, we construct stochastic models of gene expression dynamics and test them on experimental time-series data of messenger-RNA concentrations. The models are used to infer biophysical parameters of gene transcription, including the statistics of transcription factor-DNA binding and the target genes controlled by a given transcription factor.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:21:44 GMT" }, { "version": "v2", "created": "Wed, 5 Mar 2008 16:17:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Berg", "Johannes", "" ] ]
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712.3792
Christian Degen
C. L. Degen, M. Poggio, H. J. Mamin, and D. Rugar
Nuclear spin relaxation induced by a mechanical resonator
4 pages, 4 figures
Phys. Rev. Lett. 100, 137601 (2008)
10.1103/PhysRevLett.100.137601
null
cond-mat.mes-hall
null
We report on measurements of the spin lifetime of nuclear spins strongly coupled to a micromechanical cantilever as used in magnetic resonance force microscopy. We find that the rotating-frame correlation time of the statistical nuclear polarization is set by the magneto-mechanical noise originating from the thermal motion of the cantilever. Evidence is based on the effect of three parameters: (1) the magnetic field gradient (the coupling strength), (2) the Rabi frequency of the spins (the transition energy), and (3) the temperature of the low-frequency mechanical modes. Experimental results are compared to relaxation rates calculated from the spectral density of the magneto-mechanical noise.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:32:36 GMT" } ]
2008-04-04T00:00:00
[ [ "Degen", "C. L.", "" ], [ "Poggio", "M.", "" ], [ "Mamin", "H. J.", "" ], [ "Rugar", "D.", "" ] ]
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712.3793
Pablo Moya S
C. A. Far\'ias, P. S. Moya and V. A. Pinto
On the Relationship between Thermodynamics and Special Relativity
8 pages, no figures
null
null
null
physics.class-ph
null
Starting from a formulation for the $dS$ element that includes movement, and considering the variation of the entropy Lorentz invariant, we found the relativistic transformations for thermodynamic systems that satisfy the three laws of thermodynamics. Particularly, we found the temperature and pressure transformations, given by $T'=\gamma T$ and $p'=\gamma^2p$ respectively. Furthermore, we show that this transformations keeps the form of the state equation for an ideal gas in agreement with the relativity principle.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:34:54 GMT" }, { "version": "v2", "created": "Thu, 20 Mar 2008 16:43:16 GMT" } ]
2008-03-20T00:00:00
[ [ "Farías", "C. A.", "" ], [ "Moya", "P. S.", "" ], [ "Pinto", "V. A.", "" ] ]
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712.3794
Jason Bell
Jason P. Bell
Simple algebras of Gelfand-Kirillov dimension two
6 pages; fixed reference and corrected a misquoted statement from the literature
null
null
null
math.RA
null
Let $k$ be a field. We show that a finitely generated simple Goldie $k$-algebra of quadratic growth is noetherian and has Krull dimension 1. Thus a simple algebra of quadratic growth is left noetherian if and only if it is right noetherian. As a special case, we see that if A is a finitely generated simple domain of quadratic growth then A is noetherian and by a result of Stafford every right and left ideal is generated by at most two elements. We conclude by posing questions and giving examples in which we consider what happens when the hypotheses are relaxed.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 20:35:08 GMT" }, { "version": "v2", "created": "Mon, 31 Dec 2007 21:14:43 GMT" } ]
2007-12-31T00:00:00
[ [ "Bell", "Jason P.", "" ] ]
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712.3795
Irina Zhuravleva Vladimirovna
B. V. Komberg, D. I. Nagirner, I. V. Zhuravleva
The Sunyaev-Zel'dovich Effect On Elliptical Galaxies
10 pages, 4 figures, submitted to Astronomichesky Zhurnal
null
null
null
astro-ph
null
The history of discovering of hot gas in galaxies is traced briefly, its main properties are described and the desirability to make them more precise, in particular to obtain additional data on the mass of such gas is pointed out. For this purpose observations of the Sunyaev-Zel'dovich effect on hot gas of coronas of elliptic galaxies are proposed. The absolute and relative disturbances of the cosmic microwave radiation spectrum due to scattering of relic photons by Maxwellian electrons are calculated according the formula of the article. With the example of three elliptic galaxies it is shown that observation of the SZ effect on such galaxies is quite possible. Kinematic SZ effect arising due to peculiar movement and rotation of galaxies is available for observation as well. Such observations combined with X-ray data would make it possible to get more about properties of galactic gas, to obtain additional information on rotation of galaxies, on possible accreting gas flows and on hot galactic wind.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:14:00 GMT" }, { "version": "v2", "created": "Fri, 8 Feb 2008 14:40:01 GMT" } ]
2008-02-08T00:00:00
[ [ "Komberg", "B. V.", "" ], [ "Nagirner", "D. I.", "" ], [ "Zhuravleva", "I. V.", "" ] ]
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712.3796
Olaf Maron Dr.
Napoleon Maron, Olaf Maron
Criteria for mixing rules application for inhomogeneous astrophysical grains
36 pages, 21 figures, accepted for MNRAS
null
10.1111/j.1365-2966.2008.13908.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The analysis presented in this paper verifies which of the mixing rules are best for real components of interstellar dust in possible wide range of wavelengths.The DDA method with elements of different components with various volume fractions has been used. We have considered 6 materials: ice, amorphous carbon, graphite, SiC, silicates and iron, and the following mixing rules: Maxwell-Garnett, Bruggeman, Looyenga, Hanay and Lichtenecker which must satisfy rigorous bounds. The porous materials have also been considered. We have assumed simplified spatial distribution, shape and size of inclusions. The criteria given by \citet{draine1988} have been used to determine the range of wavelengths for the considered mixtures in order to calculate the ${\rm Q_{ext}}$ using the DDA. From all chosen mixing rules for the examined materials in majority of cases (13 out of 20) the best results have been obtained using the Lichtenecker mixing rule. In 5 cases this rule is better for some volume fraction of inclusions.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:33:30 GMT" }, { "version": "v2", "created": "Thu, 3 Jan 2008 23:04:48 GMT" }, { "version": "v3", "created": "Sat, 6 Sep 2008 09:36:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Maron", "Napoleon", "" ], [ "Maron", "Olaf", "" ] ]
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712.3797
Eyer Laurent
Laurent Eyer, Nami Mowlavi
Variable stars across the observational HR diagram
21 pages, 9 figures
J.Phys.Conf.Ser.118:012010,2008
10.1088/1742-6596/118/1/012010
null
astro-ph
null
An overview of pulsating variable stars across the observational Hertzprung-Russel (HR) diagram is presented, together with a summary of their global properties. The HR diagram is presented with a third colour-coded dimension, visualizing the fraction of variable, the amplitude of variability or the period of variability. The distribution of variable stars in the other observational diagrams, such as the Period-Amplitude diagram, is also presented. Some of the progresses performed in the field of variable stars during the last decade are briefly summarized, and future projects that will improve our knowledge of variable stars are mentioned.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:08:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Eyer", "Laurent", "" ], [ "Mowlavi", "Nami", "" ] ]
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712.3798
Basudeb Dasgupta
Basudeb Dasgupta and Amol Dighe
Collective three-flavor oscillations of supernova neutrinos
44 pages, 24 figures. Typo corrected in Eqs. (52, 68, 85 and 91) of the version published in PRD. Results unchanged
Phys.Rev.D77:113002,2008
10.1103/PhysRevD.77.113002
TIFR/TH/07-36
hep-ph astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Neutrinos and antineutrinos emitted from a core collapse supernova interact among themselves, giving rise to collective flavor conversion effects that are significant near the neutrinosphere. We develop a formalism to analyze these collective effects in the complete three-flavor framework. It naturally generalizes the spin-precession analogy to three flavors and is capable of analytically describing phenomena like vacuum/MSW oscillations, synchronized oscillations, bipolar oscillations and spectral split. Using the formalism, we demonstrate that the flavor conversions may be "factorized" into two-flavor oscillations with hierarchical frequencies. We explicitly show how the three-flavor solution may be constructed by combining two-flavor solutions. For a typical supernova density profile, we identify an approximate separation of regions where distinctly different flavor conversion mechanisms operate, and demonstrate the interplay between collective and MSW effects. We pictorialize our results in terms of the "e_3 - e_8 triangle" diagram, which is a tool that can be used to visualize three-neutrino flavor conversions in general, and offers insights into the analysis of the collective effects in particular.
[ { "version": "v1", "created": "Sun, 23 Dec 2007 20:39:10 GMT" }, { "version": "v2", "created": "Sat, 5 Apr 2008 18:56:51 GMT" }, { "version": "v3", "created": "Thu, 21 Jan 2010 17:14:50 GMT" } ]
2010-01-21T00:00:00
[ [ "Dasgupta", "Basudeb", "" ], [ "Dighe", "Amol", "" ] ]
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712.3799
Norihiro Tanahashi
Norihiro Tanahashi, Takahiro Tanaka
Time-symmetric initial data of large brane-localized black hole in RS-II model
14 pages, 9 figures. Typo corrected
JHEP0803:041,2008
10.1088/1126-6708/2008/03/041
KUNS-2117
gr-qc
null
In the aim of shedding a new light on the classical black hole evaporation conjecture stating that a static brane-localized black hole (BH) larger than the bulk curvature scale does not exist in Randall-Sundrum II (RS-II) model, we investigate time-symmetric initial data with a brane-localized apparent horizon (AH) and analyzed its properties. We find that a three-parameter family of such initial data can be constructed by simply placing a brane on a constant time surface of Schwarzschild anti-de Sitter space. By this method, we unambiguously confirm that initial data with an arbitrarily large AH area do exist. We compare the ADM mass and the horizon area of our initial data with that of the black string (BS) solution, and find that any initial data constructed by this method do not have a smaller mass than the BS solution when the horizon area is larger than the size determined by the bulk curvature scale. We further investigate what kind of configuration realizes the minimum mass for the same AH area. The configuration that realizes the smallest mass turns out to be the one close to the BS truncated by a cap. We also demonstrate that the same method applies to construct initial data in (3+1)-dimensional RS-II brane world. In this case an exact solution of a brane-localized BH exists but BS solution does not. Nevertheless, the behavior of the initial data is quite similar in both cases. We find that the known exact solution always has a smaller mass than our initial data with the same horizon area. This result enforces the standard belief that the exact BH solution is the most stable black object in the four-dimensional RS-II model. These results are all consistent with the classical BH evaporation conjecture, but unfortunately it turns out that they do not provide a strong support of it.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 08:12:27 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 14:17:43 GMT" }, { "version": "v3", "created": "Mon, 17 Mar 2008 16:09:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Tanahashi", "Norihiro", "" ], [ "Tanaka", "Takahiro", "" ] ]
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712.38
Jorge Moreno
Jorge Moreno, Carlo Giocoli, and Ravi K. Sheth
Merger history trees of dark matter haloes in moving barrier models
MNRAS accepted, 15 pages, 12 figures
Mon.Not.Roy.Astron.Soc.391:1729-1740,2008
10.1111/j.1365-2966.2008.13766.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present an algorithm for generating merger histories of dark matter haloes. The algorithm is based on the excursion set approach with moving barriers whose shape is motivated by the ellipsoidal collapse model of halo formation. In contrast to most other merger-tree algorithms, ours takes discrete steps in mass rather than time. This allows us to quantify effects which arise from the fact that outputs from numerical simulations are usually in discrete time bins. In addition, it suggests a natural set of scaling variables for describing the abundance of halo progenitors; this scaling is not as general as that associated with a spherical collapse. We test our algorithm by comparing its predictions with measurements in numerical simulations. The progenitor mass fractions and mass functions are in good agreement, as is the predicted scaling law. We also test the formation-redshift distribution, the mass distribution at formation, and the redshift distribution of the most recent major merger; all are in reasonable agreement with N-body simulation data, over a broad range of masses and redshifts. Finally, we study the effects of sampling in discrete time snapshots. In all cases, the improvement over algorithms based on the spherical collapse assumption is significant.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:11:19 GMT" }, { "version": "v2", "created": "Mon, 19 May 2008 17:38:21 GMT" }, { "version": "v3", "created": "Sat, 3 Jan 2009 00:52:26 GMT" } ]
2009-01-03T00:00:00
[ [ "Moreno", "Jorge", "" ], [ "Giocoli", "Carlo", "" ], [ "Sheth", "Ravi K.", "" ] ]
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712.3801
Jose La Luz
David Allen and Jose La Luz
A Counterexample to a conjecture of Bosio and Meersseman
null
null
null
null
math.SG
null
In a paper of Bosio and Meersseman (Real quadrics in Cn, complex manifolds and convex polytopes) the following is conjectured: If P is dual neighborly, then Zp is diffeomorphic to the connected sum of products of spheres. In this paper a counterexample is provided.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:21:51 GMT" }, { "version": "v2", "created": "Sat, 15 Mar 2008 12:55:48 GMT" } ]
2008-03-15T00:00:00
[ [ "Allen", "David", "" ], [ "La Luz", "Jose", "" ] ]
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712.3802
Marco Lenci
Luca Bussolari, Marco Lenci
Hyperbolic billiards with nearly flat focusing boundaries. I
21 pages, 9 figures
Physica D 237 (2008), no. 18, 2272-2281
10.1016/j.physd.2008.02.006
null
math.DS math-ph math.MP
null
The standard Wojtkowski-Markarian-Donnay-Bunimovich technique for the hyperbolicity of focusing or mixed billiards in the plane requires the diameter of a billiard table to be of the same order as the largest ray of curvature along the focusing boundary. This is due to the physical principle that is used in the proofs, the so-called defocusing mechanism of geometrical optics. In this paper we construct examples of hyperbolic billiards with a focusing boundary component of arbitrarily small curvature whose diameter is bounded by a constant independent of that curvature. Our proof employs a nonstardard cone bundle that does not solely use the familiar dispersing and defocusing mechanisms.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:23:41 GMT" } ]
2008-10-15T00:00:00
[ [ "Bussolari", "Luca", "" ], [ "Lenci", "Marco", "" ] ]
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712.3803
Mladen Georgiev
Mladen Georgiev
Vibronic polarons: comments on a model for the colossal field-resistance effects in manganites
8 pages with 4 figures, all pdf format
null
null
null
cond-mat.mtrl-sci cond-mat.str-el
null
In addition to mechanisms already proposed to account for the formation in manganites of a small-polaron superlattice above the Curie temperature Tc and to a metallic-like sea of large polarons below Tc, we now consider other observed colossal-resistance inducing fields, such as magnetic, electric, photon, or strain fields. We attribute the charge-ordered phase formation to the occurrence of strong dipolar binding of vibronic small polarons arising from the phonon coupling of highly polarizable two-level orbital systems. These species having associated inherent electric and magnetic off-center dipoles, they couple to the external fields leading to the observed colossal effects. The random phase appears due to polaron band widening in the external field.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:38:15 GMT" } ]
2007-12-27T00:00:00
[ [ "Georgiev", "Mladen", "" ] ]
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712.3804
A. Lobel
A. Lobel, R. Blomme (Royal Observatory of Belgium)
Modeling Ultraviolet Wind Line Variability in Massive Hot Stars
58 pages, 16 figures, 1 animation. Accepted for publication in The Astrophysical Journal, Main Journal. More information and animations are available at http://alobel.freeshell.org/hotstars.html
null
10.1086/529129
null
astro-ph
null
We model the detailed time-evolution of Discrete Absorption Components (DACs) observed in P Cygni profiles of the Si IV lam1400 resonance doublet lines of the fast-rotating supergiant HD 64760 (B0.5 Ib). We adopt the common assumption that the DACs are caused by Co-rotating Interaction Regions (CIRs) in the stellar wind. We perform 3D radiative transfer calculations with hydrodynamic models of the stellar wind that incorporate these large-scale density- and velocity-structures. We develop the 3D transfer code Wind3D to investigate the physical properties of CIRs with detailed fits to the DAC shape and morphology. The CIRs are caused by irregularities on the stellar surface that change the radiative force in the stellar wind. In our hydrodynamic model we approximate these irregularities by circular symmetric spots on the stellar surface. We use the Zeus3D code to model the stellar wind and the CIRs, limited to the equatorial plane. We constrain the properties of large-scale wind structures with detailed fits to DACs observed in HD 64760. A model with two spots of unequal brightness and size on opposite sides of the equator, with opening angles of 20 +/- 5 degr and 30 +/- 5 degr diameter, and that are 20 +/- 5 % and 8 +/- 5 % brighter than the stellar surface, respectively, provides the best fit to the observed DACs. The recurrence time of the DACs compared to the estimated rotational period corresponds to spot velocities that are 5 times slower than the rotational velocity. The mass-loss rate of the structured wind model for HD 64760 does not exceed the rate of the spherically symmetric smooth wind model by more than 1 %. The fact that DACs are observed in a large number of hot stars constrains the clumping that can be present in their winds, as substantial amounts of clumping would tend to destroy the CIRs.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:40:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Lobel", "A.", "", "Royal Observatory of Belgium" ], [ "Blomme", "R.", "", "Royal Observatory of Belgium" ] ]
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712.3805
Patrice Verdier
D0 Collaboration: V. Abazov, et al
Search for squarks and gluinos in events with jets and missing transverse energy using 2.1 fb-1 of ppbar collision data at sqrt(s)=1.96 TeV
null
Phys.Lett.B660:449-457,2008
10.1016/j.physletb.2008.01.042
FERMILAB-PUB-07-668-E
hep-ex
null
A data sample corresponding to an integrated luminosity of 2.1 fb-1 collected by the D0 detector at the Fermilab Tevatron Collider was analyzed to search for squarks and gluinos produced in ppbar collisions at a center-of-mass energy of 1.96 TeV. No evidence for the production of such particles was observed in topologies involving jets and missing transverse energy, and 95% C.L. lower limits of 379 GeV and 308 GeV were set on the squark and gluino masses, respectively, within the framework of minimal supergravity with tan(beta)=3, A0=0, and mu<0. The corresponding previous limits are improved by 54 GeV and 67 GeV.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 21:53:50 GMT" }, { "version": "v2", "created": "Mon, 18 Feb 2008 09:18:35 GMT" } ]
2008-11-26T00:00:00
[ [ "D0 Collaboration", "", "" ], [ "Abazov", "V.", "" ] ]
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712.3806
Emmanuil Saridakis
E. N. Saridakis
Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
16 pages, version published in Phys. Lett. B
Phys.Lett.B661:335-341,2008
10.1016/j.physletb.2008.02.032
null
gr-qc hep-th
null
We apply bulk holographic dark energy in general braneworld models with a Gauss-Bonnet term in the bulk and an induced gravity term and a perfect fluid on the brane. Without making any additional assumptions we extract the Friedmann equation on the physical brane and we show that a $\rho$-$\rho_\Lambda$ coupling arises naturally by the full 5D dynamics. The low-energy (late-time) evolution reveals that the effective 4D holographic dark energy behaves as ``quintom'', that is it crosses the phantom divide $w=-1$ during the evolution. In particular, the Gauss-Bonnet contribution decreases the present value of $w_\Lambda$, while it increases the growing rate of $w_\Lambda(z)$ with $z$, in comparison with the case where such a term is absent.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:04:30 GMT" }, { "version": "v2", "created": "Tue, 19 Feb 2008 20:01:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Saridakis", "E. N.", "" ] ]
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712.3807
Jianguo Liu
Jian-Guo Liu, Bing-Hong Wang, Qiang Guo
Improved Collaborative Filtering Algorithm via Information Transformation
5 pages, 4 figures
Int. J. Mod. Phys. C 20(2), 285-293 (2009)
10.1142/S0129183109013613
null
cs.LG cs.CY
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we propose a spreading activation approach for collaborative filtering (SA-CF). By using the opinion spreading process, the similarity between any users can be obtained. The algorithm has remarkably higher accuracy than the standard collaborative filtering (CF) using Pearson correlation. Furthermore, we introduce a free parameter $\beta$ to regulate the contributions of objects to user-user correlations. The numerical results indicate that decreasing the influence of popular objects can further improve the algorithmic accuracy and personality. We argue that a better algorithm should simultaneously require less computation and generate higher accuracy. Accordingly, we further propose an algorithm involving only the top-$N$ similar neighbors for each target user, which has both less computational complexity and higher algorithmic accuracy.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 14:25:18 GMT" }, { "version": "v2", "created": "Fri, 12 Dec 2008 16:31:13 GMT" }, { "version": "v3", "created": "Wed, 14 Oct 2009 15:30:56 GMT" } ]
2015-05-13T00:00:00
[ [ "Liu", "Jian-Guo", "" ], [ "Wang", "Bing-Hong", "" ], [ "Guo", "Qiang", "" ] ]
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712.3808
Karl-Heinz Schmidt
C. Boeckstiegel, S. Steinhaeuser, K.-H. Schmidt, H.-G. Clerc, A. Grewe, A. Heinz, M. de Jong, A. R. Junghans, J. Mueller, B. Voss
Nuclear-fission studies with relativistic secondary beams: analysis of fission channels
16 pages, 3 figures, background information on http://www.gsi.de/charms
Nucl.Phys.A802:12-25,2008
10.1016/j.nuclphysa.2008.01.012
null
nucl-ex
null
Nuclear fission of several neutron-deficient actinides and pre-actinides from excitation energies around 11 MeV was studied at GSI Darmstadt by use of relativistic secondary beams. The characteristics of multimodal fission of nuclei around 226Th are systematically investigated and interpreted as the superposition of three fission channels. Properties of these fission channels have been determined for 15 systems. A global view on the properties of fission channels including previous results is presented. The positions of the asymmetric fission channels are found to be constant in element number over the whole range of systems investigated.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:25:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Boeckstiegel", "C.", "" ], [ "Steinhaeuser", "S.", "" ], [ "Schmidt", "K. -H.", "" ], [ "Clerc", "H. -G.", "" ], [ "Grewe", "A.", "" ], [ "Heinz", "A.", "" ], [ "de Jong", "M.", "" ], [ "Junghans", "A. R.", "" ], [ "Mueller", "J.", "" ], [ "Voss", "B.", "" ] ]
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712.3809
Ramses van Zon
Ramses van Zon, Jeremy Schofield
Event-Driven Dynamics of Rigid Bodies Interacting via Discretized Potentials
9 pages, 5 figures
J. Chem. Phys. 128, 154119 (2008)
10.1063/1.2901173
null
cond-mat.soft
null
A framework for performing event-driven, adaptive time step simulations of systems of rigid bodies interacting under stepped or terraced potentials in which the potential energy is only allowed to have discrete values is outlined. The scheme is based on a discretization of an underlying continuous potential that effectively determines the times at which interaction energies change. As in most event-driven approaches, the method consists of specifying a means of computing the free motion, evaluating the times at which interactions occur, and determining the consequences of interactions on subsequent motion for the terraced-potential. The latter two aspects are shown to be simply expressible in terms of the underlying smooth potential. Within this context, algorithms for computing the times of interaction events and carrying out efficient event-driven simulations are discussed. The method is illustrated on system composed of rigid rods in which the constituents interact via a terraced potential that depends on the relative orientations of the rods.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:32:03 GMT" } ]
2008-08-11T00:00:00
[ [ "van Zon", "Ramses", "" ], [ "Schofield", "Jeremy", "" ] ]
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712.381
Philippe G. LeFloch
Philippe G. LeFloch and Majid Mohammadian
Why many theories of shock waves are necessary. Kinetic functions, equivalent equations, and fourth-order models
35 pages
null
10.1016/j.jcp.2007.12.026
null
math.NA math.AP physics.flu-dyn
null
We consider several systems of nonlinear hyperbolic conservation laws describing the dynamics of nonlinear waves in presence of phase transition phenomena. These models admit under-compressive shock waves which are not uniquely determined by a standard entropy criterion but must be characterized by a kinetic relation. Building on earlier work by LeFloch and collaborators, we investigate the numerical approximation of these models by {\sl high-order} finite difference schemes, and uncover several new features of the kinetic function associated with with physically motivated second and third-order regularization terms, especially viscosity and capillarity terms. On one hand, the role of the equivalent equation associated with a finite difference scheme is discussed. We conjecture here and demonstrate numerically that the (numerical) kinetic function associated with a scheme approaches the (analytic) kinetic function associated with the given model --especially since its equivalent equation approaches the regularized model at a higher order. On the other hand, we demonstrate numerically that a kinetic function can be associated with the thin liquid film model and the generalized Camassa-Holm model. Finally, we investigate to what extent a kinetic function can be associated with the equations of van der Waals fluids, whose flux-function admits two inflection points.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:33:58 GMT" } ]
2009-11-13T00:00:00
[ [ "LeFloch", "Philippe G.", "" ], [ "Mohammadian", "Majid", "" ] ]
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712.3811
Kimball A. Milton
Kimball A. Milton and Jef Wagner
Multiple Scattering Methods in Casimir Calculations
21 pages, 7 figures, ReVTEX. Introduction shortened, Appendix A expanded, references added
J.Phys.A41:155402,2008
10.1088/1751-8113/41/15/155402
null
hep-th quant-ph
null
Multiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the simple context of $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling, a semitransparent boundary becomes a Dirichlet one.) After applying the method to rederive the Casimir force between two semitransparent plates and the Casimir self-stress on a semitransparent sphere, we obtain expressions for the Casimir energies between disjoint parallel semitransparent cylinders and between disjoint semitransparent spheres. Simplifications occur for weak and strong coupling. In particular, after performing a power series expansion in the ratio of the radii of the objects to the separation between them, we are able to sum the weak-coupling expansions exactly to obtain explicit closed forms for the Casimir interaction energy. The same can be done for the interaction of a weak-coupling sphere or cylinder with a Dirichlet plane. We show that the proximity force approximation (PFA), which becomes the proximity force theorem when the objects are almost touching, is very poor for finite separations.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:34:28 GMT" }, { "version": "v2", "created": "Tue, 26 Feb 2008 00:45:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Milton", "Kimball A.", "" ], [ "Wagner", "Jef", "" ] ]
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712.3812
Lucas Platter
Lucas Platter
Universality in Few-Body Systems
Plenary talk at 20th European Conference on Few-Body Problems in Physics (EFB 20), Pisa, Italy, 10-14 Sep 2007, FBS style, 2 figues
Few Body Syst.43:155-160,2008
10.1007/s00601-008-0225-7
null
nucl-th
null
Low-energy universality in atomic few-body systems as a result of a large two-body scattering length has gained a lot of attention recently. Here, I discuss recent progress in describing the three-body recombination of cold atoms in terms of a finite set of universal scaling functions and review results for the recombination length of cesium-133 atoms obtained with these functions. Furthermore, I will consider the inclusion of effective range corrections and the relevance for further calculations in atomic and nuclear physics.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:34:56 GMT" } ]
2009-01-08T00:00:00
[ [ "Platter", "Lucas", "" ] ]
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712.3813
Seunghoon Han
Seunghoon Han, Yi Xiong, Dentcho Genov, Zhaowei Liu, Guy Bartal and Xiang Zhang
Molding the flow of light at deep sub-wavelength scale
4 figures and supplementary information
null
null
null
physics.optics
null
The diffractive nature of light has limited optics and photonics to operate at scales much larger than the wavelength of light. The major challenge in scaling-down integrated photonics is how to mold the light flow below diffraction-limit in all three dimensions. A high index solid immersion lens can improve the spatial resolution by increasing the medium refractive index, but only to few times higher than in air. Photonic crystals can guide light in three dimensions, however, the guided beam width is around a wavelength. Surface plasmons has a potential to reach the sub-wavelength scales; nevertheless, it is confined in the two-dimensional interface between metals and dielectrics. Here, we present a new approach for molding the light flow at the deep sub-wavelength scale, using metamaterials with uniquely designed dispersion. We develop a design methodology for realizing sub-wavelength ray optics, and demonstrate lambda/10 width light beams flow through three-dimensional space.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:42:42 GMT" } ]
2007-12-27T00:00:00
[ [ "Han", "Seunghoon", "" ], [ "Xiong", "Yi", "" ], [ "Genov", "Dentcho", "" ], [ "Liu", "Zhaowei", "" ], [ "Bartal", "Guy", "" ], [ "Zhang", "Xiang", "" ] ]
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712.3814
Korkut Okan Ozansoy
O. Cakir and K. O. Ozansoy
Unparticle Searches Through Gamma Gamma Scattering
15 pages, 5 figures, 2 tables
Eur.Phys.J.C56:279-285,2008
10.1140/epjc/s10052-008-0658-7
null
hep-ph
null
We investigate the effects of unparticles on gamma gamma--> gamma gamma scattering for photon collider mode of the future multi-TeV e^+e^- linear collider. We show the effects of unparticles on the differential, and total scattering cross sections for different polarization configurations. Considering 1-loop Standard Model background contributions from the charged fermions, and W^{+-} bosons to the cross section, we calculate the upper limits on the unparticle couplings lambda_0 to the photons for various values of the scaling dimension d(1<d<2) at sqrt{s}=0.5-5 TeV.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 12:17:32 GMT" }, { "version": "v2", "created": "Tue, 8 Jan 2008 22:25:00 GMT" }, { "version": "v3", "created": "Mon, 10 Mar 2008 18:31:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Cakir", "O.", "" ], [ "Ozansoy", "K. O.", "" ] ]
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712.3815
Sylvie Ruette
Sylvie Ruette
Rotation set for maps of degree 1 on the graph sigma
Changes in new version: numbers of theorems cited from [2] (consequence of editing process of [2]), modification of definition 2.8 (to avoid a possible ambiguity), reference [2] (now published), some typos
Israel Journal of Mathematics, 184, 275-299, 2011
null
null
math.DS
null
For a continuous map on a topological graph containing a unique loop S it is possible to define the degree and, for a map of degree 1, rotation numbers. It is known that the set of rotation numbers of points in S is a compact interval and for every rational r in this interval there exists a periodic point of rotation number r. The whole rotation set (i.e. the set of all rotation numbers) may not be connected and it is not known in general whether it is closed. The graph sigma is the space consisting in an interval attached by one of its endpoints to a circle. We show that, for a map of degree 1 on the graph sigma, the rotation set is closed and has finitely many connected components. Moreover, for all rational numbers r in the rotation set, there exists a periodic point of rotation number r.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:48:45 GMT" }, { "version": "v2", "created": "Thu, 22 May 2008 16:17:49 GMT" } ]
2014-07-08T00:00:00
[ [ "Ruette", "Sylvie", "" ] ]
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712.3816
Matthias Keller
Matthias Keller
The essential spectrum of the Laplacian on rapidly branching tessellations
null
null
null
null
math-ph math.MP math.SP
null
In this paper we characterize emptiness of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover we present a characterization for emptiness of the essential spectrum for planar tessellations in terms of curvature.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 22:59:14 GMT" }, { "version": "v2", "created": "Thu, 17 Jan 2008 19:36:47 GMT" } ]
2008-01-17T00:00:00
[ [ "Keller", "Matthias", "" ] ]
[ -0.0334633477, -0.0438453257, 0.0414815731, 0.0094666043, 0.0739252567, -0.0052576154, -0.0365918465, 0.0105731664, -0.0227453429, 0.1129967272, -0.0195241477, -0.0658143386, -0.0241937209, -0.0254682954, 0.1236568019, 0.0504731089, 0.0309142005, -0.0090552652, 0.067900002, 0.0074968091, -0.0386543348, -0.0818044394, -0.0720249861, 0.0397898667, -0.0548761785, -0.0857440308, 0.019929694, 0.0569154993, 0.1451623291, 0.0265806504, -0.0578888096, -0.0655362457, -0.0520489439, -0.0345525257, -0.0489436202, 0.1535976827, 0.0031082211, 0.0733227357, -0.079672426, 0.0134409564, -0.046185907, 0.077215977, -0.0781892911, 0.0728129074, 0.104190588, -0.0657216385, 0.0618747473, 0.0463249497, 0.0573789775, 0.0206249151, -0.0944111347, 0.0025969434, 0.0786527693, -0.0333938226, -0.1762155741, 0.0150863146, -0.1487774849, 0.0242400691, -0.0559421889, -0.0890810937, 0.0478312671, -0.0155613832, -0.0105152307, 0.0052923765, -0.1437718868, -0.0140318945, -0.0558494925, 0.0097388998, 0.052095294, 0.0571935885, -0.055478707, -0.0442392863, -0.0690587088, 0.0249584652, 0.0493607521, 0.0025549403, 0.0523733832, 0.1201343387, -0.0246572029, -0.0698929727, 0.0917692855, 0.0983507186, 0.0045218389, 0.0496388413, 0.0208566561, -0.0173341986, 0.0407400019, -0.0278320499, -0.0594182983, 0.0361978859, 0.1334826052, -0.0154339261, 0.0134641305, 0.0160943866, 0.0575643703, -0.0005243132, 0.0987215042, 0.0929743424, 0.0169402398, 0.0218183808, 0.0000344895, 0.0544590466, 0.0752230063, -0.1303309351, 0.09144485, 0.0073345909, -0.088988401, 0.0170097612, 0.0036933662, -0.0005713855, -0.0596500374, 0.0000623256, 0.0346452221, 0.0109902993, 0.0701247156, -0.045768775, -0.1208759099, -0.0309142005, 0.0230466053, -0.066370517, -0.0012832637, 0.0092001026, 0.0239388067, -0.0241241995, 0.1043759808, -0.0354563147, 0.0012130174, -0.0047535794, -0.0273917429, 0.0131976288, 0.1127186418, 0.0176007003, 0.0282723568, -0.0293383636, -0.0331157371, 0.0421072729, 0.0087192412, -0.0208914168, 0.2005946934, -0.0633115396, -0.0437758043, 0.1069714725, 0.0939939991, 0.0016902582, -0.0079371165, 0.079718776, 0.0496388413, 0.1091961861, 0.1089180931, 0.0803213045, -0.0468811281, -0.059974473, 0.0977945477, 0.0362674072, -0.0563593209, -0.1042832807, 0.135800004, 0.0680390447, -0.0237997621, 0.0220385343, 0.046185907, 0.0665559098, -0.0038845523, 0.1084546149, 0.0577961132, -0.0082731405, -0.0785137266, -0.0211231578, -0.037796896, -0.1059518158, -0.0218879022, -0.1169826686, -0.0377737209, -0.029199319, 0.0354331434, -0.0049737333, -0.0192112979, -0.0729983002, -0.0229770839, -0.1035417095, -0.021401247, 0.0836120173, 0.068826966, 0.0221428163, -0.0296859741, 0.0220501199, 0.0416669659, 0.1192073748, -0.031957034, 0.0333938226, -0.1243983656, 0.0837510601, 0.0622455329, 0.0869490802, -0.0185740106, -0.0850024596, -0.0245413315, 0.0576107204, -0.0095940623, -0.0684098303, 0.0363369286, -0.002147946, 0.0961260125, -0.0137769803, 0.0016554971, 0.0245181583, 0.0215750523, 0.0128500173, -0.0477849171, 0.0364064537, 0.0059296633, 0.0752693564, -0.0152369458, 0.014819813, -0.0838437602, 0.1056737229, 0.0533466935, 0.0632188395, 0.1087327003, 0.1006681249, -0.0501486734, 0.0376115032, 0.0662778169, 0.0230697785, 0.101687789, 0.0117955981, 0.0461627319, -0.0972383693, 0.005576259, 0.0329071693, 0.0465798676, 0.0010471779, -0.0596036874, -0.0108049065, -0.0230466053, 0.0096172364, -0.0501950197, -0.0069000772, -0.0772623271, -0.1061372086, 0.074713178, -0.0054864595, -0.0533466935, -0.0161986705, 0.0076184729, -0.0322351195, -0.0759645775, -0.0127689084, -0.0671120882, -0.0050490489, -0.0212042667, 0.067297481, -0.0197674762, -0.0166969113, -0.0372407176, 0.0439843722 ]
712.3817
Richard Hill
Richard J. Hill
Update on semileptonic charm decays
4 pages. To be published in the proceedings of CHARM07, Ithaca, NY, August 2007, eConf C070805
ECONF C070805:22,2007
10.2172/922051
FERMILAB-CONF-07-669-T
hep-ph
null
A brief update is given on recent developments in the theory of exclusive semileptonic charm decays. A check on analyticity arguments from the kaon system is reviewed. Recent results on form factor shape measurements are discussed.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 19:30:46 GMT" } ]
2011-03-18T00:00:00
[ [ "Hill", "Richard J.", "" ] ]
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712.3818
Marie A. Vitulli
Marie A. Vitulli
Serre's Condition R_l for Affine Semigroup Rings
13 pages
null
null
null
math.AC math.AG
null
In this note we characterize the affine semigroup rings K[S] over an arbitrary field K that satisfy condition R_l of Serre. Our characterization is in terms of the face lattice of the positive cone pos(S) of S. We start by reviewing some basic facts about the faces of pos(S) and consequences for the monomial primes of K[S]. After proving our characterization we turn our attention to the Rees algebras of a special class of monomial ideals in a polynomial ring over a field. In this special case, some of the characterizing criteria are always satisfied. We give examples of nonnormal affine semigroup rings that satisfy R_2.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 23:28:08 GMT" } ]
2007-12-27T00:00:00
[ [ "Vitulli", "Marie A.", "" ] ]
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712.3819
Jeremy Coe
J. P. Coe, A. Sudbery, and I. D'Amico
Entanglement and density-functional theory: testing approximations on Hooke's atom
14 pages with 18 figures; corrected typos, corrected expression for first-order energy in section VI and consequently Fig.13, conclusions and other results unaffected
Phys. Rev. B 77, 205122 (2008)
10.1103/PhysRevB.77.205122
null
quant-ph cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial entanglement can be calculated exactly. We analyse how the strength of the confining potential affects the spatial entanglement and how accurately the methods that we introduced reproduce the exact trends. We also compare the results with the outcomes of standard first-order perturbation methods. The accuracies of energies and densities when using these methods are also considered.
[ { "version": "v1", "created": "Fri, 21 Dec 2007 23:41:09 GMT" }, { "version": "v2", "created": "Mon, 31 Mar 2008 10:53:52 GMT" }, { "version": "v3", "created": "Tue, 3 Aug 2010 10:02:23 GMT" } ]
2015-03-13T00:00:00
[ [ "Coe", "J. P.", "" ], [ "Sudbery", "A.", "" ], [ "D'Amico", "I.", "" ] ]
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712.382
Bruno Nachtergaele
Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert Sims
Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
null
Commun. Math. Phys. 286 (2009) 1073--1098
10.1007/s00220-008-0630-2
null
math-ph cond-mat.stat-mech math.MP quant-ph
null
We prove Lieb-Robinson bounds for the dynamics of systems with an infinite dimensional Hilbert space and generated by unbounded Hamiltonians. In particular, we consider quantum harmonic and certain anharmonic lattice systems.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 18:19:37 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 17:40:01 GMT" } ]
2009-02-03T00:00:00
[ [ "Nachtergaele", "Bruno", "" ], [ "Raz", "Hillel", "" ], [ "Schlein", "Benjamin", "" ], [ "Sims", "Robert", "" ] ]
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712.3821
Hongbao Zhang
Song He and Hongbao Zhang
Covariant entropy conjecture and concordance cosmological models
10 pages, 1 figure, JHEP style, references added, published version
JCAP0810:020,2008
10.1088/1475-7516/2008/10/020
null
hep-th astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently a covariant entropy conjecture has been proposed for dynamical horizons. We apply this conjecture to concordance cosmological models, namely, those cosmological models filled with perfect fluids, in the presence of a positive cosmological constant. As a result, we find this conjecture has a severe constraint power. Not only does this conjecture rule out those cosmological models disfavored by the anthropic principle, but also it imposes an upper bound $10^{-60}$ on the cosmological constant for our own universe, which thus provides an alternative macroscopic perspective for understanding the long-standing cosmological constant problem.
[ { "version": "v1", "created": "Mon, 24 Dec 2007 03:18:27 GMT" }, { "version": "v2", "created": "Mon, 13 Oct 2008 14:57:18 GMT" } ]
2008-11-26T00:00:00
[ [ "He", "Song", "" ], [ "Zhang", "Hongbao", "" ] ]
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712.3822
Kaspar von Braun
Kaspar von Braun (1), Gerard T. van Belle (1,2), David R. Ciardi (1), Mercedes Lopez-Morales (3), D. W. Hoard (4), and Stefanie Wachter (4) ((1) Michelson Science Center / Caltech, (2) ESO, (3) Carnegie Inst. of Washington / Dept. of Terrestrial Magnetism, (4) Spitzer Science Center / Caltech)
Spitzer 24-micron Time-Series Observations of the Eclipsing M-dwarf Binary GU Bootis
ApJ accepted. 10 pages, 12 figures
null
10.1086/529037
null
astro-ph
null
We present a set of {\it Spitzer} 24$\mu$m MIPS time series observations of the M-dwarf eclipsing binary star GU Bo\"otis. Our data cover three secondary eclipses of the system: two consecutive events and an additional eclipse six weeks later. The study's main purpose is the long wavelength (and thus limb darkening-independent) characterization of GU Boo's light curve, allowing for independent verification of the results of previous optical studies. Our results confirm previously obtained system parameters. We further compare GU Boo's measured 24$\mu$m flux density to the value predicted by spectral fitting and find no evidence for circumstellar dust. In addition to GU Boo, we characterize (and show examples of) light curves of other objects in the field of view. Analysis of these light curves serves to characterize the photometric stability and repeatability of {\it Spitzer's} MIPS 24\micron array over short (days) and long (weeks) timescales at flux densities between approximately 300--2,000$\mu$Jy. We find that the light curve root mean square about the median level falls into the 1--4% range for flux densities higher than 1mJy. Finally, we comment on the fluctuations of the 24\micron background on short and long timescales.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 00:12:25 GMT" } ]
2009-11-13T00:00:00
[ [ "von Braun", "Kaspar", "" ], [ "van Belle", "Gerard T.", "" ], [ "Ciardi", "David R.", "" ], [ "Lopez-Morales", "Mercedes", "" ], [ "Hoard", "D. W.", "" ], [ "Wachter", "Stefanie", "" ] ]
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712.3823
Anthony Leverrier
Anthony Leverrier, Romain All\'eaume, Joseph Boutros, Gilles Z\'emor, Philippe Grangier
Multidimensional reconciliation for continuous-variable quantum key distribution
8 pages, 3 figures
Phys. Rev. A 77, 042325 (2008)
10.1103/PhysRevA.77.042325
null
quant-ph cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and homodyne detection. The crucial feature is an eight-dimensional reconciliation method, based on the algebraic properties of octonions. Since the protocol does not use any postselection, it can be proven secure against arbitrary collective attacks, by using well-established theorems on the optimality of Gaussian attacks. By using this new coding scheme with an appropriate signal to noise ratio, the distance for secure continuous-variable quantum key distribution can be significantly extended.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 00:41:54 GMT" }, { "version": "v2", "created": "Thu, 3 Jul 2008 10:37:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Leverrier", "Anthony", "" ], [ "Alléaume", "Romain", "" ], [ "Boutros", "Joseph", "" ], [ "Zémor", "Gilles", "" ], [ "Grangier", "Philippe", "" ] ]
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712.3824
Diego Tonelli
Diego Tonelli (for the CDF and D0 Collaborations)
Prospects in CP violation measurements at the Tevatron Collider
This is an OLD conference proceeding prepared for the 18th Rencontres de Physique de la Vallee d'Aoste - La Thuile in 2004. Already published and posted to arxiv just for the record and to make it searchable with SPIRES. 20 pages, 12 figures
null
null
null
hep-ex
null
The Fermilab Tevatron Collider is currently the most copious source of b-hadrons, thanks to the large b-bbar production cross-section in 1.96 TeV ppbar collisions. Recent detector upgrades allow for a wide range of CP violation and flavor-mixing measurements that are fully competitive (asymmetries in self-tagging modes) or complementary (asymmetries of B_s and b-baryons decays) with B-factories. In this paper we review some recent CP violation results from the DO and CDF Collaborations and we discuss the prospects for future measurements.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 00:46:05 GMT" } ]
2019-08-14T00:00:00
[ [ "Tonelli", "Diego", "", "for the CDF and D0 Collaborations" ] ]
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712.3825
Marcus Hutter
Shane Legg and Marcus Hutter
Tests of Machine Intelligence
12 pages; 1 table. Turing test and derivatives; Compression tests; Linguistic complexity; Multiple cognitive abilities; Competitive games; Psychometric tests; Smith's test; C-test; Universal intelligence
50 Years of Artificial Intelligence (2007) pages 232-242
null
IDSIA-11-07
cs.AI
null
Although the definition and measurement of intelligence is clearly of fundamental importance to the field of artificial intelligence, no general survey of definitions and tests of machine intelligence exists. Indeed few researchers are even aware of alternatives to the Turing test and its many derivatives. In this paper we fill this gap by providing a short survey of the many tests of machine intelligence that have been proposed.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 01:17:24 GMT" } ]
2008-06-26T00:00:00
[ [ "Legg", "Shane", "" ], [ "Hutter", "Marcus", "" ] ]
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712.3826
Paulo C. Freire
Paulo C. C. Freire, Alex Wolszczan, Maureen van den Berg and Jason W. T. Hessels
A Massive Neutron Star in the Globular Cluster M5
10 pages in ApJ emulate format, 2 tables, 6 figures. Added February 2008 data, slightly revised mass limits. Accepted for publication in ApJ
null
10.1086/587832
null
astro-ph
null
We report the results of 19 years of Arecibo timing for two pulsars in the globular cluster NGC 5904 (M5), PSR B1516+02A (M5A) and PSR B1516+02B (M5B). This has resulted in the measurement of the proper motions of these pulsars and, by extension, that of the cluster itself. M5B is a 7.95-ms pulsar in a binary system with a > 0.13 solar mass companion and an orbital period of 6.86 days. In deep HST images, no optical counterpart is detected within ~2.5 sigma of the position of the pulsar, implying that the companion is either a white dwarf or a low-mass main-sequence star. The eccentricity of the orbit (e = 0.14) has allowed a measurement of the rate of advance of periastron: (0.0142 +/-0.0007) degrees per year. We argue that it is very likely that this periastron advance is due to the effects of general relativity, the total mass of the binary system then being 2.29 +/-0.17 solar masses. The small measured mass function implies, in a statistical sense, that a very large fraction of this total mass is contained in the pulsar: 2.08 +/- 0.19 solar masses (1 sigma); there is a 5% probability that the mass of this object is < 1.72 solar masses and a 0.77% probability that is is between 1.2 and 1.44 solar masses. Confirmation of the median mass for this neutron star would exclude most ``soft'' equations of state for dense neutron matter. Millisecond pulsars (MSPs) appear to have a much wider mass distribution than is found in double neutron star systems; about half of these objects are significantly more massive than 1.44 solar masses. A possible cause is the much longer episode of mass accretion necessary to recycle a MSP, which in some cases corresponds to a much larger mass transfer.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 14:31:25 GMT" }, { "version": "v2", "created": "Sun, 24 Feb 2008 20:48:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Freire", "Paulo C. C.", "" ], [ "Wolszczan", "Alex", "" ], [ "Berg", "Maureen van den", "" ], [ "Hessels", "Jason W. T.", "" ] ]
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712.3827
Manu Punnen John
Manu. P. John and V. M. Nandakumaran
Chaos in an intermittently driven damped oscillator
13 pages LaTex, added references, corrected typos
null
null
null
nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We observe chaotic dynamics in a damped linear oscillator, which is driven only at certain regions of phase space. Both deterministic and random drives are studied. The dynamics is characterized using standard techniques of nonlinear dynamics. Interchanging roles of determinism and stochasticity is also considered.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 04:03:22 GMT" }, { "version": "v2", "created": "Fri, 5 Sep 2008 14:23:16 GMT" } ]
2008-09-05T00:00:00
[ [ "John", "Manu. P.", "" ], [ "Nandakumaran", "V. M.", "" ] ]
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712.3828
Mikhail Olshanetsky
A.Levin, M.Olshanetsky
Lie Algebroids and generalized projective structures on Riemann surfaces
36 pages,AMS-LaTeX 1.2, Essentially revised and elaborated version of hep-th/0010043
null
null
ITEP-TH-07/80; ESI-1989
math.QA
null
The space of generalized projective structures on a Riemann surface $\Sigma$ of genus g with n marked points is the affine space over the cotangent bundle to the space of SL(N)-opers. It is a phase space of $W_N$-gravity on $\Sigma\times\mathbb{R}$. This space is a generalization of the space of projective structures on the Riemann surface. We define the moduli space of $W_N$-gravity as a symplectic quotient with respect to the canonical action of a special class of Lie algebroids. This moduli space describes in particular the moduli space of deformations of complex structures on the Riemann surface by differential operators of finite order, or equivalently, by a quotient space of Volterra operators. We call these algebroids the Adler-Gelfand-Dikii (AGD) algebroids, because they are constructed by means of AGD bivector on the space of opers restricted on a circle. The AGD-algebroids are particular case of Lie algebroids related to a Poisson sigma-model. The moduli space of the generalized projective structure can be described by cohomology of a BRST-complex.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 15:23:38 GMT" } ]
2007-12-27T00:00:00
[ [ "Levin", "A.", "" ], [ "Olshanetsky", "M.", "" ] ]
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712.3829
Francois Le Gall
Yoshifumi Inui and Francois Le Gall
Quantum Property Testing of Group Solvability
11 pages; supersedes arXiv:quant-ph/0610013
Algorithmica 59(1): 35-47 (2011)
10.1007/s00453-009-9338-8
null
quant-ph cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Testing efficiently whether a finite set with a binary operation over it, given as an oracle, is a group is a well-known open problem in the field of property testing. Recently, Friedl, Ivanyos and Santha have made a significant step in the direction of solving this problem by showing that it it possible to test efficiently whether the input is an Abelian group or is far, with respect to some distance, from any Abelian group. In this paper, we make a step further and construct an efficient quantum algorithm that tests whether the input is a solvable group, or is far from any solvable group. More precisely, the number of queries used by our algorithm is polylogarithmic in the size of the set.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 04:47:03 GMT" }, { "version": "v2", "created": "Sun, 3 Jan 2010 08:29:30 GMT" } ]
2021-10-05T00:00:00
[ [ "Inui", "Yoshifumi", "" ], [ "Gall", "Francois Le", "" ] ]
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712.383
Tom Schrijvers
Tom Schrijvers, Bart Demoen, David S. Warren
TCHR: a framework for tabled CLP
Accepted for publication in Theory and Practice of Logic Programming
null
null
null
cs.PL
null
Tabled Constraint Logic Programming is a powerful execution mechanism for dealing with Constraint Logic Programming without worrying about fixpoint computation. Various applications, e.g in the fields of program analysis and model checking, have been proposed. Unfortunately, a high-level system for developing new applications is lacking, and programmers are forced to resort to complicated ad hoc solutions. This papers presents TCHR, a high-level framework for tabled Constraint Logic Programming. It integrates in a light-weight manner Constraint Handling Rules (CHR), a high-level language for constraint solvers, with tabled Logic Programming. The framework is easily instantiated with new application-specific constraint domains. Various high-level operations can be instantiated to control performance. In particular, we propose a novel, generalized technique for compacting answer sets.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 15:28:16 GMT" } ]
2007-12-27T00:00:00
[ [ "Schrijvers", "Tom", "" ], [ "Demoen", "Bart", "" ], [ "Warren", "David S.", "" ] ]
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712.3831
Dawei Ding
Dawei Ding, Jie Zhu, Xiaoshu Luo, Yuliang Liu
Hopf bifurcation analysis in a dual model of Internet congestion control algorithm with communication delay
18 pages, 6 figures
null
null
null
cs.NI
null
This paper focuses on the delay induced Hopf bifurcation in a dual model of Internet congestion control algorithms which can be modeled as a time-delay system described by a one-order delay differential equation (DDE). By choosing communication delay as the bifurcation parameter, we demonstrate that the system loses its stability and a Hopf bifurcation occurs when communication delay passes through a critical value. Moreover, the bifurcating periodic solution of system is calculated by means of perturbation methods. Discussion of stability of the periodic solutions involves the computation of Floquet exponents by considering the corresponding Poincare -Lindstedt series expansion. Finally, numerical simulations for verify the theoretical analysis are provided.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 06:16:26 GMT" } ]
2007-12-27T00:00:00
[ [ "Ding", "Dawei", "" ], [ "Zhu", "Jie", "" ], [ "Luo", "Xiaoshu", "" ], [ "Liu", "Yuliang", "" ] ]
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712.3832
Yang Zhao
S. R. Dunsiger, Y. Zhao, B. D. Gaulin, Y. Qiu, P. Bourges, Y. Sidis, J. R. D. Copley, A. B. Kallin, E. M. Mazurek, and H.A. Dabkowska
Diagonal and Collinear Incommensurate Spin Structures in underdoped La$_{2-x}$Ba$_{x}$CuO$_{4}$
5 pages, 4 figures, submitted to PRL
null
10.1103/PhysRevB.78.092507
null
cond-mat.str-el cond-mat.supr-con
null
We have studied incommensurate spin ordering in single crystal underdoped La_{2-x}Ba_{x}CuO_{4} with x~0.08, 0.05 and 0.025 using neutron scattering techniques. Static incommensurate magnetic order is observed in the La_{2-x}Ba_{x}CuO_{4} (x=0.05 and 0.025) compounds with ordering wavevectors which are rotated by 45 degree about the commensurate (0.5,0.5,0) position, with respect to that in the superconducting x=0.08 material. These spin modulations are one dimensional in the x=0.05 and 0.025 samples, with ordering wavevectors lying along the orthorhombic b* direction. Such a rotation in the orientation of the static spin ordering as a function of increasing Ba doping, from diagonal to collinear, is roughly coincident with the transition from an insulating to a superconducting ground state and is similar to that observed in the related La_{2-x}Sr_{x}CuO_{4} system. This phenomenon is therefore a generic property of underdoped La-214 cuprates.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:19:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Dunsiger", "S. R.", "" ], [ "Zhao", "Y.", "" ], [ "Gaulin", "B. D.", "" ], [ "Qiu", "Y.", "" ], [ "Bourges", "P.", "" ], [ "Sidis", "Y.", "" ], [ "Copley", "J. R. D.", "" ], [ "Kallin", "A. B.", "" ], [ "Mazurek", "E. M.", "" ], [ "Dabkowska", "H. A.", "" ] ]
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712.3833
John Hartnett
John G. Hartnett
Unknown selection effect simulates redshift periodicity in quasar number counts from Sloan Digital Sky Survey
5 pages, 6 figures, major revision
Astrophys.Space Sci.324:13-16, 2009
10.1007/s10509-008-9906-4
null
astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Discrete Fourier analysis on the quasar number count, as a function of redshift, $z$, calculated from the Sloan Digital Sky Survey DR6 release appears to indicate that quasars have preferred periodic redshifts with redshift intervals of 0.258, 0.312, 0.44, 0.63, and 1.1. However the same periods are found in the mean of the $zConf$ parameter used to flag the reliability of the spectroscopic measurements. It follows that these redshift periods must result from some selection effect, as yet undetermined. It does not signal any intrinsic (quantized) redshifts in the quasars.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:17:03 GMT" }, { "version": "v2", "created": "Fri, 8 Feb 2008 00:52:42 GMT" }, { "version": "v3", "created": "Fri, 10 Jul 2009 06:52:29 GMT" } ]
2010-04-14T00:00:00
[ [ "Hartnett", "John G.", "" ] ]
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712.3834
Olivier Fruchart
Fabien Cheynis (NEEL), Aur\'elien Masseboeuf (SP2M), Olivier Fruchart (NEEL), Nicolas Rougemaille (NEEL), Jean-Christophe Toussaint (NEEL, SPINTEC), Rachid Belkhou, Pascale Bayle-Guillemaud (SP2M, INAC), Alain Marty (SP2M, INAC, NM)
Controlled switching of N\'eel caps in flux-closure magnetic dots
4 pages, 3 figures
Physical Review Letters 102, 10 (2009) 107201
10.1103/PhysRevLett.102.107201
null
cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
While magnetic hysteresis usually considers magnetic domains, the switching of the core of magnetic vortices has recently become an active topic. We considered Bloch domain walls, which are known to display at the surface of thin films flux-closure features called N\'eel caps. We demonstrated the controlled switching of these caps under a magnetic field, occurring via the propagation of a surface vortex. For this we considered flux-closure states in elongated micron-sized dots, so that only the central domain wall can be addressed, while domains remain unaffected.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:36:27 GMT" }, { "version": "v2", "created": "Thu, 29 May 2008 06:48:12 GMT" }, { "version": "v3", "created": "Fri, 6 Mar 2009 07:54:31 GMT" } ]
2009-03-12T00:00:00
[ [ "Cheynis", "Fabien", "", "NEEL" ], [ "Masseboeuf", "Aurélien", "", "SP2M" ], [ "Fruchart", "Olivier", "", "NEEL" ], [ "Rougemaille", "Nicolas", "", "NEEL" ], [ "Toussaint", "Jean-Christophe", "", "NEEL,\n SPINTEC" ], [ "Belkhou", "Rachid", "", "SP2M, INAC" ], [ "Bayle-Guillemaud", "Pascale", "", "SP2M, INAC" ], [ "Marty", "Alain", "", "SP2M, INAC, NM" ] ]
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712.3835
Noam Soker
Noam Soker (Technion, Israel)
Defining the Termination of the Asymptotic Giant Branch
Submitted to ApJ Letters
null
10.1086/528987
null
astro-ph
null
I suggest a theoretical quantitative definition for the termination of the asymptotic giant branch (AGB) phase and the beginning of the post-AGB phase. I suggest that the transition will be taken to occur when the ratio of the dynamical time scale to the the envelope thermal time scale, Q, reaches its maximum value. Time average values are used for the different quantities, as the criterion does not refer to the short time-scale variations occurring on the AGB and post-AGB, e.g., thermal pulses (helium shell flashes) and magnetic activity. Along the entire AGB the value of Q increases, even when the star starts to contract. Only when a rapid contraction starts does the value of Q start to decrease. This criterion captures the essence of the transition from the AGB to the post AGB phase, because Q is connected to the stellar effective temperature, reaching its maximum value at T~4000-6000 K, it is related to the mass loss properties, and it reaches its maximum value when rapid contraction starts and envelope mass is very low.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:41:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Soker", "Noam", "", "Technion, Israel" ] ]
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712.3836
Jean Fromentin
Jean Fromentin (LMNO)
The well-ordering of dual braid monoids
null
null
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the restriction of the Dehornoy ordering of braids to the dual braid monoids introduced by Birman, Ko and Lee: we give an inductive characterization of the ordering of the dual braid monoids and compute the corresponding ordinal type. The proof consists in introducing a new ordering on the dual braid monoid using the rotating normal form of arXiv:0811.3902 [math.GR], and then proving that this new ordering coincides with the standard ordering of braids.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:42:20 GMT" }, { "version": "v2", "created": "Wed, 10 Dec 2008 09:19:57 GMT" } ]
2008-12-10T00:00:00
[ [ "Fromentin", "Jean", "", "LMNO" ] ]
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712.3837
Ciprian Tudor
Xavier Bardina, Maria Jolis, Ciprian Tudor (CES, SAMOS)
On the convergence to the multiple Wiener-Ito integral
null
null
null
null
math.PR
null
We study the convergence to the multiple Wiener-It\^{o} integral from processes with absolutely continuous paths. More precisely, consider a family of processes, with paths in the Cameron-Martin space, that converges weakly to a standard Brownian motion in $\mathcal C_0([0,T])$. Using these processes, we construct a family that converges weakly, in the sense of the finite dimensional distributions, to the multiple Wiener-It\^{o} integral process of a function $f\in L^2([0,T]^n)$. We prove also the weak convergence in the space $\mathcal C_0([0,T])$ to the second order integral for two important families of processes that converge to a standard Brownian motion.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 07:52:19 GMT" } ]
2007-12-27T00:00:00
[ [ "Bardina", "Xavier", "", "CES, SAMOS" ], [ "Jolis", "Maria", "", "CES, SAMOS" ], [ "Tudor", "Ciprian", "", "CES, SAMOS" ] ]
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712.3838
Peter Collas
David Klein and Peter Collas
General Transformation Formulas for Fermi-Walker Coordinates
23 pages. Corrected typos in the last two equations. Accepted for publication in Classical and Quantum Gravity
Class.Quant.Grav.25:145019,2008
10.1088/0264-9381/25/14/145019
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulas for coefficients and the Jacobian matrix are given.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 08:18:36 GMT" }, { "version": "v2", "created": "Mon, 3 Mar 2008 05:10:23 GMT" }, { "version": "v3", "created": "Sat, 31 May 2008 23:35:56 GMT" }, { "version": "v4", "created": "Fri, 27 Jun 2008 07:40:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Klein", "David", "" ], [ "Collas", "Peter", "" ] ]
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712.3839
Koji Miwa
K. Miwa, S. Dairaku, D. Nakajima (for the KEK-PS E559 Collaboration)
Search for Theta+ via K+p -> pi+X reaction with a 1.2 GeV/c K+ beam
11pages, 13figures
Phys.Rev.C77:045203,2008
10.1103/PhysRevC.77.045203
null
nucl-ex
null
The Theta+ was searched for via the K+p -> pi+X reaction using the 1.2 GeV/c K+ beam at the K6 beam line of the KEK-PS 12 GeV Proton Synchrotron. In the missing mass spectrum of the K+p -> pi+X reaction, no clear peak structure was observed. Therefore a 90 % C.L. upper limit of 3.5 ub/sr was derived for the differential cross section averaged over 2degree to 22degree in the laboratory frame of the K+p -> pi+Theta+ reaction. This upper limit is much smaller than the theoretical calculation for the t-channel process where a K0* is exchanged. From the present result, either the t-channel process is excluded or the coupling constant of g_{K*N\Theta} is quite small.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 08:46:35 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 02:19:11 GMT" }, { "version": "v3", "created": "Sun, 17 Feb 2008 03:50:12 GMT" }, { "version": "v4", "created": "Sun, 9 Mar 2008 04:51:03 GMT" } ]
2019-08-14T00:00:00
[ [ "Miwa", "K.", "", "for the KEK-PS E559 Collaboration" ], [ "Dairaku", "S.", "", "for the KEK-PS E559 Collaboration" ], [ "Nakajima", "D.", "", "for the KEK-PS E559 Collaboration" ] ]
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712.384
Giovanni Alessandrini
Giovanni Alessandrini, Vincenzo Nesi
Invertible harmonic mappings, beyond Kneser
One section added. 15 pages
Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (5) VIII (2009), 451-468
10.2422/2036-2145.2009.3.03
null
math.AP
null
We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Rad\'{o}-Kneser-Choquet theorem.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 08:39:15 GMT" }, { "version": "v2", "created": "Tue, 8 Apr 2008 08:03:09 GMT" } ]
2010-11-09T00:00:00
[ [ "Alessandrini", "Giovanni", "" ], [ "Nesi", "Vincenzo", "" ] ]
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712.3841
Barbara Sciascia
KLOE Collaboration
Measurement of the absolute branching ratios for semileptonic K+/- decays with the KLOE detector
13 pages, 3 figures, submitted to JHEP. v2: minor revisions required by JHEP, v3: final version published by JHEP (replacement of 2 incorrect affiliations)link: http://www.iop.org/EJ/abstract/1029-8479/2008/02/098
JHEP 0802:098,2008
10.1088/1126-6708/2008/02/098
null
hep-ex
null
Using a sample of over 600 million phi->K+K- decays collected at the Dafne e+e- collider, we have measured with the KLOE detector the absolute branching ratios for the charged kaon semileptonic decays, K+/- -> p0 e nu (gamma) (Ke3) and K+/- -> p0 mu nu (gamma) (Kmu3). The results, BR(Ke3) = 0.04965 +/- 0.00038_{stat} +/- 0.00037_{syst} and BR(Kmu3) = 0.03233 +/- 0.00029_{stat} +/- 0.00026_{syst}, are inclusive of radiation. Accounting for correlations, we derive the ratio Kmu3/Ke3 = 0.6511+/-0.0064. Using the semileptonic form factors measured in the same experiment, we obtain V_{us}f_{+}(0) = 0.2141 +/- 0.0013.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 08:48:22 GMT" }, { "version": "v2", "created": "Fri, 15 Feb 2008 11:46:14 GMT" }, { "version": "v3", "created": "Thu, 28 Feb 2008 13:26:10 GMT" } ]
2012-08-27T00:00:00
[ [ "KLOE Collaboration", "", "" ] ]
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712.3842
Murilo Baptista S.
D. M. Maranh\~ao, M. S. Baptista, J. C. Sartorelli, I. L. Caldas
Experimental observation of a complex periodic window
4.2 pages, 4 figures
Phys. Rev. E (2008)
10.1103/PhysRevE.77.037202
null
nlin.CD
null
The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 09:01:29 GMT" }, { "version": "v2", "created": "Tue, 11 Mar 2008 08:47:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Maranhão", "D. M.", "" ], [ "Baptista", "M. S.", "" ], [ "Sartorelli", "J. C.", "" ], [ "Caldas", "I. L.", "" ] ]
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712.3843
Zakaria Giunashvili
Zakaria Giunashvili
Cyclic Evolution on Grassmann Manifold and Berry Phase
4 pages
null
null
null
quant-ph
null
For a given $k$-dimensional subspace $V_0$ in a Hilbert space $\hilb$ and a unitary transformation $g_0:V_0\To V_0$, we find a path in the Grassmann manifold the monodromy of which coincides with $g_0$.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 09:05:54 GMT" } ]
2007-12-27T00:00:00
[ [ "Giunashvili", "Zakaria", "" ] ]
[ -0.023016667, 0.0232899357, 0.0910729691, 0.0367670469, -0.0369657874, 0.0078875255, 0.0305812396, 0.0135267954, -0.067124702, 0.010110938, 0.0242215339, 0.0310780909, -0.0244202744, 0.0194641761, 0.0874956325, 0.0241221637, 0.0049654143, -0.0066329739, 0.0468282998, 0.1362368166, 0.0153899901, -0.0446421504, 0.0390774086, 0.0826761723, -0.0240352135, -0.0148434527, 0.017799722, 0.06464044, 0.0625039786, -0.0784529299, 0.0292148963, -0.0271778032, 0.0330903418, -0.0954949483, -0.1407084763, 0.0487411804, -0.0884893388, 0.0265070535, -0.0832227096, 0.1594894826, -0.0404934362, 0.0468282998, -0.1170583293, 0.0669756457, 0.0971842483, 0.0769623742, -0.0757202432, 0.1032458395, 0.0157005228, -0.008067634, -0.0530637912, 0.0450644754, -0.0014082649, -0.1026496217, -0.1088105813, -0.0200728197, -0.0128312027, -0.0124585638, -0.0507534295, 0.0411393419, 0.0864522457, -0.0556474216, -0.0110363243, 0.0412883982, -0.0428037979, -0.0585291646, -0.0991716534, -0.021439163, -0.0058286949, 0.0439714007, -0.1084131002, 0.0365434624, 0.0853094831, 0.0514738634, -0.0073844623, 0.0439962409, 0.0478220023, 0.0410151295, 0.0831233338, 0.0407418609, 0.0275752842, -0.0691121072, 0.0903276876, 0.0731862932, 0.0223334972, -0.063447997, 0.0627027228, -0.0591253862, -0.0569392368, -0.0513248108, 0.0727391317, 0.0033723828, -0.0947496742, 0.0163961146, 0.0490392894, -0.0240973216, 0.031922739, -0.065932259, -0.0496106707, 0.0107506346, -0.014557763, -0.0011683785, 0.0153278839, -0.030755138, 0.1436895877, -0.0214143209, -0.0700561255, 0.0123032974, -0.0900792629, 0.0116387578, -0.0617587008, -0.0160855819, 0.0037108632, 0.0406176485, 0.0583801083, -0.0532625318, -0.0181226768, -0.0478468463, -0.0001574012, -0.0287677292, 0.0054746876, -0.0639448464, 0.004434404, -0.0880918577, -0.0220850706, -0.0465053469, -0.0868994072, 0.011744339, -0.1009106338, 0.0656838343, -0.0386550836, -0.0108003197, 0.0120548708, -0.0414126106, -0.0454122722, -0.0104338918, 0.0153899901, 0.0141354389, 0.1121891737, 0.0911723375, -0.0572870336, 0.0546537191, -0.0203088243, 0.057386402, 0.09455093, 0.1414040774, -0.0964886546, 0.1319638789, 0.0210665241, -0.0170420222, -0.0325934887, 0.0377110653, 0.0710995197, 0.0030556396, -0.0111915907, 0.0190045889, -0.0438223444, 0.0359969251, 0.010943165, 0.0363695659, 0.0731366128, 0.0617090166, 0.0624542944, 0.0241594277, -0.0279727671, -0.0076701525, -0.0865019262, -0.0511260666, -0.0192778576, -0.1034445837, -0.0301340725, -0.1285852939, -0.2176211625, 0.0273765437, 0.0204703007, 0.0890358761, -0.0838686153, -0.1776742637, -0.1300758421, -0.081632778, 0.0467537716, 0.1004634723, 0.0150297722, -0.0419094637, -0.0451638438, 0.1327588409, 0.0166445412, 0.0461078621, -0.0211907364, 0.0515235513, -0.1319638789, 0.1391185522, 0.0741303116, 0.0416858792, 0.1015068591, -0.0060398569, 0.0339101478, -0.0276994985, 0.0156632587, 0.0354752317, 0.0184332076, -0.06464044, 0.0008003975, -0.0426299013, -0.0375620089, 0.0062261764, 0.0667769089, 0.0455613248, -0.0620071255, 0.0370154716, -0.0113406461, 0.0055709528, -0.0342579447, -0.0144832348, 0.0124337208, -0.0026302102, -0.0503559485, 0.0276746545, -0.0118002342, 0.0692611635, -0.1207350269, -0.0046486715, -0.0015627547, 0.0197250228, 0.0813346654, 0.0183959436, -0.0221968628, -0.0924144685, 0.0396736301, 0.0290906839, 0.0734844059, 0.0188555326, -0.0706026629, -0.0333636105, 0.0017560612, 0.0159489494, -0.0268548485, -0.1043389142, -0.0899798945, -0.0702051818, -0.0067509762, 0.0810862407, -0.0255878773, 0.1117916927, -0.0414374545, 0.0036083874, -0.0105270511, 0.0055523207, 0.0601687729, 0.0273517016, -0.1056307331, 0.1080156192, -0.0906258002, 0.0938056558, -0.0342827849, 0.0632492602 ]
712.3844
Chushun Tian
Chushun Tian
Supersymmetric field theory of local light diffusion in semi-infinite media
14 pages, 1 figure. accepted for publication in Phys. Rev. B
null
10.1103/PhysRevB.77.064205
null
cond-mat.dis-nn cond-mat.mes-hall
null
A supersymmetric field theory of light diffusion in semi-infinite disordered media is presented. With the help of this technique we justify--at the perturbative level--the local light diffusion proposed by Tiggelen, Lagendijk, and Wiersma [Phys. Rev. Lett. \textbf{84}, 4333 (2000)], and show that the coherent backscattering line shape of medium bar displays a crossover from two-dimensional weak to quasi-one-dimensional strong localization.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 09:15:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Tian", "Chushun", "" ] ]
[ -0.0026942878, -0.0761347637, -0.0109615866, -0.0227100961, 0.069986932, -0.0351901948, -0.0249970891, -0.0184066128, -0.1504005939, -0.0075003565, -0.0856270194, 0.1519744396, -0.1520728022, 0.0612324178, 0.0207919721, 0.0583306402, -0.0524287224, -0.0045217313, 0.1143005118, 0.0917256698, -0.0112320911, -0.0715607777, 0.0143859293, -0.0211977288, -0.0850368291, -0.1368261725, 0.073773995, 0.0556747764, 0.0960045606, 0.0326818824, 0.0117485095, -0.0260176305, -0.0582814589, -0.1081034988, -0.0396658182, 0.2134527713, 0.0110476557, 0.112825036, -0.0541009307, 0.0023730635, -0.0045278789, 0.0003525398, -0.0691508278, -0.0413626209, 0.0758888498, 0.0433053374, -0.0510516055, 0.0433791094, 0.0360263027, -0.0226117298, -0.0181361083, -0.048494108, 0.0638882816, -0.0267307777, -0.0907420143, -0.0054131672, 0.0039745742, 0.0370591395, -0.0370591395, -0.0942339823, 0.0605438612, -0.006009507, 0.0128366752, -0.0346245952, -0.1559090465, -0.0596093908, -0.0253536645, 0.0035626693, 0.0398625508, 0.0248495415, -0.1181367636, -0.0557731427, 0.0352639705, -0.0531664602, 0.0355836563, 0.045616921, -0.0110660996, 0.0129842237, 0.0713148639, 0.0115948133, -0.0003296775, -0.0045432486, -0.053117279, 0.0036302954, -0.0242716447, -0.0682655424, -0.0443873554, -0.0406248793, 0.0119390916, -0.0160335489, 0.1414493471, 0.0425675958, -0.0598061197, 0.072150968, 0.0262635425, -0.1239403188, 0.0174229592, -0.0230420791, 0.0803152919, 0.0359279364, -0.0349688753, 0.0265094563, 0.0451742783, -0.1210877225, 0.1296455115, 0.0081766183, -0.0497482643, -0.0198575016, -0.0331737064, -0.0176442806, 0.0454693735, 0.0538550168, 0.0364689454, 0.0714624152, -0.0421495438, -0.045739878, 0.0105804205, -0.0631013587, -0.0047983839, 0.0845941827, 0.0029494229, 0.0610848702, 0.141055882, -0.0151482606, 0.0651178509, -0.0850368291, 0.121186085, -0.0947749987, -0.0913322121, -0.0318703651, 0.1119397432, -0.0270012822, -0.0797251016, -0.0154187651, -0.0393707231, 0.0148900514, 0.0077585652, 0.0384362526, 0.0385592096, -0.055281315, -0.0183082465, -0.0148162777, 0.0483957417, 0.081151396, 0.1223664731, 0.1054476351, -0.0591667444, 0.061576698, 0.117940031, -0.0052164365, -0.0308375303, -0.0093877409, 0.1082018614, 0.0163778272, -0.020828858, -0.0832170695, 0.0816432238, 0.0681179911, 0.0421495438, -0.0040575699, 0.0764790401, 0.0166483317, -0.111644648, 0.0148777561, 0.0137096681, -0.0317720026, 0.0543960258, -0.0237921141, -0.0846925452, -0.1469577998, -0.0030938969, -0.0759872198, 0.015996661, 0.0077093826, 0.0775118768, 0.01974684, 0.0158245228, -0.0398871414, -0.0129842237, 0.0965455696, 0.0301735643, -0.0098180892, 0.0623636171, -0.0277144313, 0.0010274566, -0.0424692295, 0.0039100219, 0.0879386067, 0.0397150032, -0.0432807468, -0.1063329205, 0.1015130207, 0.0481744185, 0.0321408696, -0.0941356197, -0.0506089628, 0.0303211138, 0.0712656826, -0.0274685174, 0.0018996805, 0.0437233895, 0.0665441453, -0.0566584282, 0.0460103825, -0.0910862982, 0.0161073226, 0.0705771223, 0.0211362503, -0.017496733, -0.0328786112, 0.0877910554, 0.0470924005, 0.0534123741, 0.0232756957, -0.0692000091, 0.0219846517, -0.0426659621, 0.038952671, -0.0155909043, 0.1057427302, -0.0077216784, 0.0290177725, 0.0416085348, 0.0254766196, 0.064871937, 0.007186817, 0.0543960258, -0.0661506876, -0.028747268, -0.0317474119, 0.0824301466, -0.0371083207, -0.1343670338, -0.077905342, 0.0120251616, -0.0716591403, 0.0555272289, 0.0666916966, -0.0285013542, -0.159056738, -0.0311080348, 0.0443873554, -0.0126030575, 0.0740690902, -0.0502155013, 0.0098488284, -0.0415101685, 0.0143859293, 0.0767741427, -0.0340835862, 0.0315506794, 0.0375755541, -0.0175213236, -0.0760364011, 0.0151482606, 0.0087114796 ]
712.3845
Yuri Shchekinov A.
V. Prudskikh, Yu. A. Shchekinov
Acceleration of dust particles by low-frequency Alfv\'en waves
8 pages, no figs, accepted in Phys. Lett. A
null
10.1016/j.physleta.2007.12.061
null
physics.plasm-ph astro-ph
null
We investigate the efficiency of acceleration of charged dust particles by low-frequency Alfv\'en waves in nonlinear approximation. We show that the longitudinal acceleration of dust particles is proportional to the square of the soliton amplitude $O(|b_m|^2)$, while the transversal acceleration is of $O(|b_m|)$. In the conditions of the interstellar medium the resulting velocity of dust particles can reach 0.3 to 1 km s$^{-1}$.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 10:03:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Prudskikh", "V.", "" ], [ "Shchekinov", "Yu. A.", "" ] ]
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712.3846
Piotr T. Chru\'sciel
Piotr T. Chru\'sciel and Paul Tod
On Mason's rigidity theorem
minor typos corrected
Commun.Math.Phys.285:1-29,2009
10.1007/s00220-008-0643-x
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Following an argument proposed by Mason, we prove that there are no algebraically special asymptotically simple vacuum space-times with a smooth, shear-free, geodesic congruence of principal null directions extending transversally to a cross-section of Scri. Our analysis leaves the door open for escaping this conclusion if the congruence is not smooth, or not transverse to Scri. One of the elements of the proof is a new rigidity theorem for the Trautman-Bondi mass.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 10:43:39 GMT" }, { "version": "v2", "created": "Sat, 4 Oct 2008 08:36:00 GMT" } ]
2008-12-18T00:00:00
[ [ "Chruściel", "Piotr T.", "" ], [ "Tod", "Paul", "" ] ]
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712.3847
Pierre van Moerbeke
Pierre van Moerbeke
Random and Integrable Models in Mathematics and Physics
Lectures (163 pages) at Montreal, CRM Short Program on Random Matrices, Random Processes and Integrable Systems, June 20 - July 8, 2005
null
null
null
math.PR math-ph math.MP
null
This set of Montreal lectures is an elementary and sketchy introduction to the general field of random matrices. The first half is devoted to combinatorial models, whereas the second half deals with random matrix questions(GUE, etc...).
[ { "version": "v1", "created": "Sat, 22 Dec 2007 10:47:57 GMT" } ]
2007-12-27T00:00:00
[ [ "van Moerbeke", "Pierre", "" ] ]
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712.3848
Emil Johansson Bergholtz
E.J. Bergholtz, T.H. Hansson, M. Hermanns, A. Karlhede, and S. Viefers
Hierarchy wave functions--from conformal correlators to Tao-Thouless states
9 pages
Phys. Rev. B 77, 165325 (2008)
10.1103/PhysRevB.77.165325
null
cond-mat.mes-hall cond-mat.str-el
null
Laughlin's wave functions, describing the fractional quantum Hall effect at filling factors $\nu=1/(2k+1)$, can be obtained as correlation functions in conformal field theory, and recently this construction was extended to Jain's composite fermion wave functions at filling factors $\nu=n/(2kn+1)$. Here we generalize this latter construction and present ground state wave functions for all quantum Hall hierarchy states that are obtained by successive condensation of quasielectrons (as opposed to quasiholes) in the original hierarchy construction. By considering these wave functions on a cylinder, we show that they approach the exact ground states, the Tao-Thouless states, when the cylinder becomes thin. We also present wave functions for the multi-hole states, make the connection to Wen's general classification of abelian quantum Hall fluids, and discuss whether the fractional statistics of the quasiparticles can be analytically determined. Finally we discuss to what extent our wave functions can be described in the language of composite fermions.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 11:11:00 GMT" } ]
2008-12-22T00:00:00
[ [ "Bergholtz", "E. J.", "" ], [ "Hansson", "T. H.", "" ], [ "Hermanns", "M.", "" ], [ "Karlhede", "A.", "" ], [ "Viefers", "S.", "" ] ]
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712.3849
Sandor Varro
Sandor Varro
Entangled Photon-Electron States and the Number-Phase Minimum Uncertainty States of the Photon Field
31 pages, 6 figures
New Journal of Physics, Vol. 10, 053028 (35pp) (2008)
10.1088/1367-2630/10/5/053028
null
quant-ph
null
The exact analytic solutions of the energy eigenvalue equation of the system consisting of a free electron and one mode of the quantized radiation field are used for studying the physical meaning of a class of number-phase minimum uncertainty states. The states of the mode which minimize the uncertainty product of the photon number and the Susskind and Glogower (1964) cosine operator have been obtained by Jackiw (1968). However, these states have so far been remained mere mathematical constructions without any physical significance. It is proved that the most fundamental interaction in quantum electrodynamics - namely the interaction of a free electron with a mode of the quantized radiation field - leads quite naturally to the generation of the mentioned minimum uncertainty states. It is shown that from the entangled photon-electron states developing from a highly excited number state, due to the interaction with a Gaussian electronic wave packet, the minimum uncertainty states of Jackiw's type can be constructed. In the electron's coordinate representation the physical meaning of the expansion coefficients of these states are the joint probability amplitudes of simultaneous detection of an electron and of a definite number of photons. The joint occupation probabilities in these states preserve their functional form as time elapses, but they vary from point to point in space-time, depending on the location of the detected electron. An analysis of the entanglement entropies derived from the photon number distribution and from the electron's density operator is given.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 11:36:04 GMT" }, { "version": "v2", "created": "Fri, 4 Apr 2008 13:45:28 GMT" } ]
2009-03-02T00:00:00
[ [ "Varro", "Sandor", "" ] ]
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712.385
Alfred J van der Poorten AM
Alf van der Poorten
Fermat's Four Squares Theorem
3 pqges
null
null
ALF'S PREPRINTS 183
math.NT math.HO
null
It is easy to find a right-angled triangle with integer sides whose area is 6. There is no such triangle with area 5, but there is one with rational sides (a `\emph{Pythagorean triangle}'). For historical reasons, integers such as 6 or 5 that are (the squarefree part of) the area of some Pythagorean triangle are called `\emph{congruent numbers}'. These numbers actually are interesting for the following reason: Notice the sequence $\frac14$, $6\frac14$, $12\frac14$. It is an arithmetic progression with common difference 6, consisting of squares $(\frac12)^2$, $(\frac52)^2$, $(\frac72)^2$ of rational numbers. Indeed the common difference of three rational squares in AP is a congruent number and every congruent number is the common difference of three rational squares in arithmetic progression. The triangle given by $9^{2}+40^{2}=41^{2}$ has area $180=5\cdot6^{2}$ and the numbers $x-5$, $x$ and $x+5$ all are rational squares if $x=11{97/144}$. Recall one obtains all Pythagorean triangles with relatively prime integer sides by taking $x=4uv$, $y=\pm(4u^{2}-v^{2})$, $z=4u^{2}+v^{2}$ where $u$ and $v$ are integers with $2u$ and $v$ relatively prime. Fermat proved that there is no AP of more than three squares of rationals.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 11:39:43 GMT" } ]
2007-12-27T00:00:00
[ [ "van der Poorten", "Alf", "" ] ]
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712.3851
Emil Lundh
A. Cetoli, E. Lundh
Nonlinear behavior of bosons in anisotropic optical lattices
5 pages, 4 figures, discussion revised after referee comments
null
null
null
cond-mat.other
null
We investigate the behavior of an array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using an anisotropic non-polynomial Schrodinger equation we link the macroscopic parameters in the Bose-Hubbard Hamiltonian to the ones that are tunable in experiments. Using a mean field approach we predict that increasing the optical lattice strength along the direction of the tubes, the condensate can experience a reentrant transition between a Mott insulating phase and the superfluid one.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 11:58:59 GMT" }, { "version": "v2", "created": "Fri, 29 Feb 2008 12:17:13 GMT" } ]
2008-02-29T00:00:00
[ [ "Cetoli", "A.", "" ], [ "Lundh", "E.", "" ] ]
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712.3852
Bernd Berg
Bernd A. Berg and Robert C. Harris
From Data to Probability Densities without Histograms
9 pages, 9 figures
Comp. Phys. Commun. 179 (2008) 443-448
10.1016/j.cpc.2008.03.010
null
physics.data-an cond-mat.stat-mech hep-lat physics.comp-ph
null
When one deals with data drawn from continuous variables, a histogram is often inadequate to display their probability density. It deals inefficiently with statistical noise, and binsizes are free parameters. In contrast to that, the empirical cumulative distribution function (obtained after sorting the data) is parameter free. But it is a step function, so that its differentiation does not give a smooth probability density. Based on Fourier series expansion and Kolmogorov tests, we introduce a simple method, which overcomes this problem. Error bars on the estimated probability density are calculated using a jackknife method. We give several examples and provide computer code reproducing them. You may want to look at the corresponding figures 4 to 9 first.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 12:17:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Berg", "Bernd A.", "" ], [ "Harris", "Robert C.", "" ] ]
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712.3853
Mattias Marklund
Vitaly Bychkov, Mattias Marklund and Mikhail Modestov
The Rayleigh-Taylor instability and internal waves in quantum plasmas
9 pages, 2 figures
null
10.1016/j.physleta.2007.12.065
null
physics.flu-dyn
null
Influence of quantum effects on the internal waves and the Rayleigh-Taylor instability in plasma is investigated. It is shown that quantum pressure always stabilizes the RT instability. The problem is solved both in the limit of short-wavelength perturbations and exactly for density profiles with layers of exponential stratification. In the case of stable stratification, quantum pressure modifies the dispersion relation of the inertial waves. Because of the quantum effects, the internal waves may propagate in the transverse direction, which was impossible in the classical case. A specific form of pure quantum internal waves is obtained, which do not require any external gravitational field.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 12:21:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Bychkov", "Vitaly", "" ], [ "Marklund", "Mattias", "" ], [ "Modestov", "Mikhail", "" ] ]
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712.3854
Juan Mart\'inez-Sykora
Juan Mart\'inez-Sykora, Viggo Hansteen, Mats Carlsson (Institute of Theoretical Astrophysics, University of Oslo)
Twisted flux tube emergence from the convection zone to the corona
53 pages,79 figures, Submitted to ApJ
null
10.1086/587028
null
astro-ph
null
3D numerical simulations of a horizontal magnetic flux tube emergence with different twist are carried out in a computational domain spanning the upper layers of the convection zone to the lower corona. We use the Oslo Staggered Code to solve the full MHD equations with non-grey and non-LTE radiative transfer and thermal conduction along the magnetic field lines. The emergence of the magnetic flux tube input at the bottom boundary into a weakly magnetized atmosphere is presented. The photospheric and chromospheric response is described with magnetograms, synthetic images and velocity field distributions. The emergence of a magnetic flux tube into such an atmosphere results in varied atmospheric responses. In the photosphere the granular size increases when the flux tube approaches from below. In the convective overshoot region some 200km above the photosphere adiabatic expansion produces cooling, darker regions with the structure of granulation cells. We also find collapsed granulation in the boundaries of the rising flux tube. Once the flux tube has crossed the photosphere, bright points related with concentrated magnetic field, vorticity, high vertical velocities and heating by compressed material are found at heights up to 500km above the photosphere. At greater heights in the magnetized chromosphere, the rising flux tube produces a cool, magnetized bubble that tends to expel the usual chromospheric oscillations. In addition the rising flux tube dramatically increases the chromospheric scale height, pushing the transition region and corona aside such that the chromosphere extends up to 6Mm above the photosphere. The emergence of magnetic flux tubes through the photosphere to the lower corona is a relatively slow process, taking of order 1 hour.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 12:25:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Martínez-Sykora", "Juan", "", "Institute of\n Theoretical Astrophysics, University of Oslo" ], [ "Hansteen", "Viggo", "", "Institute of\n Theoretical Astrophysics, University of Oslo" ], [ "Carlsson", "Mats", "", "Institute of\n Theoretical Astrophysics, University of Oslo" ] ]
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712.3855
Elisa Di Carlo
E. Di Carlo (1), C. Corsi (2), A. A. Arkharov (3), F. Massi (4), V. M. Larionov (3 and 5), N. V. Efimova (3), M. Dolci (1), N. Napoleone (2) and A. Di Paola (2) ((1) INAF - Osservatorio Astronomico Collurania di Teramo - Italy, (2) INAF - Osservatorio Astronomico di Roma - Italy, (3) Central Astronomical Observatory at Pulkovo - Russia, (4) INAF - Osservatorio Astrofisico di Arcetri - Italy, (5) Astronomical Institute of St. Petersburg University - Russia)
Near-Infrared observations of the type Ib Supernova SN2006jc: evidence of interactions with dust
22 pages, 5 figures, submitted to ApJ
null
10.1086/590051
null
astro-ph
null
In the framework of a program for the monitoring of Supernovae in the Near-Infrared (NIR) carried out by the Teramo, Rome and Pulkovo observatories with the AZT-24 telescope, we observed the Supernova SN2006jc in the J,H,K photometric bands during a period of 7 months, starting ~36 days after its discovery. Our observations evidence a NIR re-brightening, peaking ~70 days after discovery, along with a reddening of H-K and J-H colors until 120 days from discovery. After that date, J-H seems to evolve towards bluer colors. Our data, complemented by IR, optical, UV and X-ray observations found in the literature, show that the re-brightening is produced by hot dust surrounding the supernova, formed in the interaction of the ejecta with dense circumstellar matter.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 12:36:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Di Carlo", "E.", "", "3 and 5" ], [ "Corsi", "C.", "", "3 and 5" ], [ "Arkharov", "A. A.", "", "3 and 5" ], [ "Massi", "F.", "", "3 and 5" ], [ "Larionov", "V. M.", "", "3 and 5" ], [ "Efimova", "N. V.", "" ], [ "Dolci", "M.", "" ], [ "Napoleone", "N.", "" ], [ "Di Paola", "A.", "" ] ]
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712.3856
Matti Vuorinen
G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen
Topics in Special Functions
22 pages
null
null
Report 83, Univ. Jyv\"askyl\"a (2001), 5-26, ISBN 951-39-1120-9
math.CA math.CV
null
The authors survey recent results in special functions, particularly the gamma function and the Gaussian hypergeometric function.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 13:08:28 GMT" } ]
2007-12-27T00:00:00
[ [ "Anderson", "G. D.", "" ], [ "Vamanamurthy", "M. K.", "" ], [ "Vuorinen", "M.", "" ] ]
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712.3857
Gr\'egory Ginot
Kai Behrend, Gr\'egory Ginot, Behrang Noohi, Ping Xu
String topology for stacks
extended version, 152 pages
null
null
null
math.AT hep-th math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We establish the general machinery of string topology for differentiable stacks. This machinery allows us to treat on an equal footing free loops in stacks and hidden loops. In particular, we give a good notion of a free loop stack, and of a mapping stack $\map(Y,\XX)$, where $Y$ is a compact space and $\XX$ a topological stack, which is functorial both in $\XX$ and $Y$ and behaves well enough with respect to pushouts. We also construct a bivariant (in the sense of Fulton and MacPherson) theory for topological stacks: it gives us a flexible theory of Gysin maps which are automatically compatible with pullback, pushforward and products. Further we prove an excess formula in this context. We introduce oriented stacks, generalizing oriented manifolds, which are stacks on which we can do string topology. We prove that the homology of the free loop stack of an oriented stack and the homology of hidden loops (sometimes called ghost loops) are a Frobenius algebra which are related by a natural morphism of Frobenius algebras. We also prove that the homology of free loop stack has a natural structure of a BV-algebra, which together with the Frobenius structure fits into an homological conformal field theories with closed positive boundaries. Using our general machinery, we construct an intersection pairing for (non necessarily compact) almost complex orbifolds which is in the same relation to the intersection pairing for manifolds as Chen-Ruan orbifold cup-product is to ordinary cup-product of manifolds. We show that the hidden loop product of almost complex is isomorphic to the orbifold intersection pairing twisted by a canonical class. Finally we gave some examples including the case of the classifying stacks $[*/G]$ of a compact Lie group.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 13:34:16 GMT" }, { "version": "v2", "created": "Tue, 4 Jan 2011 13:51:09 GMT" } ]
2011-01-05T00:00:00
[ [ "Behrend", "Kai", "" ], [ "Ginot", "Grégory", "" ], [ "Noohi", "Behrang", "" ], [ "Xu", "Ping", "" ] ]
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712.3858
Abraham Punnen
Abraham P. Punnen and Ruonan Zhang
Bottleneck flows in networks
null
null
null
null
cs.DS
null
The bottleneck network flow problem (BNFP) is a generalization of several well-studied bottleneck problems such as the bottleneck transportation problem (BTP), bottleneck assignment problem (BAP), bottleneck path problem (BPP), and so on. In this paper we provide a review of important results on this topic and its various special cases. We observe that the BNFP can be solved as a sequence of $O(\log n)$ maximum flow problems. However, special augmenting path based algorithms for the maximum flow problem can be modified to obtain algorithms for the BNFP with the property that these variations and the corresponding maximum flow algorithms have identical worst case time complexity. On unit capacity network we show that BNFP can be solved in $O(\min \{{m(n\log n)}^{{2/3}}, m^{{3/2}}\sqrt{\log n}\})$. This improves the best available algorithm by a factor of $\sqrt{\log n}$. On unit capacity simple graphs, we show that BNFP can be solved in $O(m \sqrt {n \log n})$ time. As a consequence we have an $O(m \sqrt {n \log n})$ algorithm for the BTP with unit arc capacities.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 13:49:45 GMT" } ]
2007-12-27T00:00:00
[ [ "Punnen", "Abraham P.", "" ], [ "Zhang", "Ruonan", "" ] ]
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712.3859
Vadim Meshkov
Andrey Bogdanov, Vadim Meshkov, Alexander Omelchenko, Michael Petrov
Classification of $k$-tangle projections using cascade representation
15 pages, 15 figures and 3 tables
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper addresses the $k$-tangle enumeration problem. We introduce a notion of cascade diagram for $k$-tangle projections. An effective enumeration algorithm for projections is proposed based on cascade representation. Tangles projections with up to 12 crossings are tabulated. We provide also pictures of alternating $k$-tangles with 5 crossing or less.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 14:10:25 GMT" }, { "version": "v2", "created": "Sun, 18 Jul 2010 08:42:30 GMT" } ]
2010-07-20T00:00:00
[ [ "Bogdanov", "Andrey", "" ], [ "Meshkov", "Vadim", "" ], [ "Omelchenko", "Alexander", "" ], [ "Petrov", "Michael", "" ] ]
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712.386
Drahos Venos
D. Venos, J. Jakubek, O. Dragoun, S. Pospisil
Distribution of the 83Rb/83mKr activity on vacuum evaporated samples examined with the Timepix position sensitive detector
8 pages, 3 figures, 2 tables
null
null
EXP-01/2007
nucl-ex
null
Properties of vacuum evaporated 83Rb/83mKr sources of low-energy conversion electrons, which are under development for monitoring the energy scale stability of the Karlsruhe Tritium Neutrino experiment KATRIN, were examined by the Timepix pixel detector exhibiting the position resolution of at least 55 microm. No distinct local inhomogeneities in the surface distribution of 83Rb/83mKr were observed. The source diameter derived from the recorded image agrees within 5 % with that expected from evaporation geometry. More precise determination of the actual source diameter is complicated by Compton scattered electrons caused by 83Rb gamma-rays.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 15:47:17 GMT" } ]
2007-12-27T00:00:00
[ [ "Venos", "D.", "" ], [ "Jakubek", "J.", "" ], [ "Dragoun", "O.", "" ], [ "Pospisil", "S.", "" ] ]
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712.3861
Yan Elensky
Ya. S. Elensky
Effect of Multiple Scattering on the Critical Electric Field for Runaway Electrons in the Atmosphere
3 pages, 2 figures
BULLETIN OF THE RUSSIAN ACADEMY OF SCIENCES: PHYSICS Vol. 71 No. 7 2007
10.3103/S1062873807070428
null
physics.ao-ph physics.geo-ph
null
A simple method for taking into account the multiple Coulomb scattering in construction of a separatrix (the line separating the regions of runaway and decelerating electrons in an electric field) is described. The desired line is obtained by solving a simple transcendental equation.
[ { "version": "v1", "created": "Wed, 26 Dec 2007 15:33:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Elensky", "Ya. S.", "" ] ]
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712.3862
Roman Baluev
Roman V. Baluev
Accounting for velocity jitter in planet search surveys
10 pages, 1 figure, 1 table; accepted to MNRAS; 4th version due to a few extra minor corrections in Sect.11 and Tab.1
Mon. Not. R. Astron. Soc., 2009, Vol. 393, Issue 3, pp. 969-978
10.1111/j.1365-2966.2008.14217.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The role of radial velocity (RV) jitter in extrasolar planet search surveys is discussed. Based on the maximum likelihood principle, improved statistical algorithms for RV fitting and period search are developed. These algorithms incorporate a built-in jitter determination, so that resulting estimations of planetary parameters account for this jitter automatically. This approach is applied to RV data for several extrasolar planetary systems. It is shown that many RV planet search surveys suffer from periodic systematic errors which increase effective RV jitter and can lead to erroneous conclusions. For instance, the planet candidate HD74156 d may be a false detection made due to annual systematic errors.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 14:08:09 GMT" }, { "version": "v2", "created": "Tue, 6 May 2008 09:58:45 GMT" }, { "version": "v3", "created": "Fri, 7 Nov 2008 10:15:06 GMT" }, { "version": "v4", "created": "Sat, 8 Nov 2008 11:21:50 GMT" } ]
2009-02-14T00:00:00
[ [ "Baluev", "Roman V.", "" ] ]
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712.3863
Misha Verbitsky
Maria Laura Barberis, Isabel G. Dotti and Misha Verbitsky
Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
19 pages, v. 4, added reference to arXiv:0803.2048 by S. Rollenske
Math. Res. Lett. 16 (2009), no. 2, 331--347.
null
null
math.DG math.AG math.CV
null
A nilmanifold is a quotient of a nilpotent group $G$ by a co-compact discrete subgroup. A complex nilmanifold is one which is equipped with a $G$-invariant complex structure. We prove that a complex nilmanifold has trivial canonical bundle. This is used to study hypercomplex nilmanifolds (nilmanifolds with a triple of $G$-invariant complex structures which satisfy quaternionic relations). We prove that a hypercomplex nilmanifold admits an HKT (hyperkahler with torsion) metric if and only if the underlying hypercomplex structure is abelian. Moreover, any $G$-invariant HKT-metric on a nilmanifold is balanced with respect to all associated complex structures.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 14:19:32 GMT" }, { "version": "v2", "created": "Fri, 4 Jan 2008 17:53:04 GMT" }, { "version": "v3", "created": "Fri, 11 Jan 2008 04:03:49 GMT" }, { "version": "v4", "created": "Wed, 30 Apr 2008 12:54:08 GMT" } ]
2009-07-14T00:00:00
[ [ "Barberis", "Maria Laura", "" ], [ "Dotti", "Isabel G.", "" ], [ "Verbitsky", "Misha", "" ] ]
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712.3864
Pengbo Li
Pengbo Li, Qihuang Gong, Guangcan Guo
Effective generation of Ising interaction and cluster states in coupled microcavities
11pages, 2 figures, Revtex4
null
10.1140/epjd/e2009-00188-3
null
quant-ph
null
We propose a scheme for realizing the Ising spin-spin interaction and atomic cluster states utilizing trapped atoms in coupled microcavities. It is shown that the atoms can interact with each other via the exchange of virtual photons of the cavities. Through suitably tuning the parameters, an effective Ising spin-spin interaction can be generated in this optical system, which is used to produce the cluster states. This scheme does not need the preparation of initial states of atoms and cavity modes, and is insensitive to cavity decay.
[ { "version": "v1", "created": "Sun, 23 Dec 2007 08:50:10 GMT" } ]
2009-07-01T00:00:00
[ [ "Li", "Pengbo", "" ], [ "Gong", "Qihuang", "" ], [ "Guo", "Guangcan", "" ] ]
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712.3865
Ingrid Beltita
Ingrid Beltita, Anders Melin
Local smoothing for the backscattering transform
22 pages
null
null
null
math.AP math-ph math.MP
null
An analysis of the backscattering data for the Schr\"odinger operator in odd dimensions $n\ge 3$ motivates the introduction of the backscattering transform $B: C_0^\infty ({\mathbb R}^n;{\mathbb C})\to C^\infty ({\mathbb R}^n; {\mathbb C})$. This is an entire analytic mapping and we write $ Bv = \sum_1^\infty B_Nv $ where $B_Nv$ is the $N$:th order term in the power series expansion at $v=0$. In this paper we study estimates for $B_Nv$ in $H_{(s)}$ spaces, and prove that $Bv$ is entire analytic in $v \in H_{(s)}\cap \Cal E'$ when $s\ge (n-3)/2$.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 15:55:35 GMT" } ]
2007-12-27T00:00:00
[ [ "Beltita", "Ingrid", "" ], [ "Melin", "Anders", "" ] ]
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712.3866
Sandro Wimberger
Alessandro Zenesini, Carlo Sias, Hans Lignier, Yeshpal Singh, Donatella Ciampini, Oliver Morsch, Riccardo Mannella, Ennio Arimondo, Andrea Tomadin, and Sandro Wimberger
Resonant tunneling of Bose-Einstein condensates in optical lattices
New J. Phys., in press
New J. Phys. 10, 053038 (2008)
10.1088/1367-2630/10/5/053038
null
cond-mat.other
null
In this article, we present theoretical as well as experimental results on resonantly enhanced tunneling of Bose-Einstein condensates in optical lattices both in the linear case and for small nonlinearities. Our results demonstrate the usefulness of condensates in optical lattices for simulating Hamiltonians originally used for describing solid state phenomena.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:19:43 GMT" }, { "version": "v2", "created": "Mon, 5 May 2008 07:30:02 GMT" } ]
2008-06-01T00:00:00
[ [ "Zenesini", "Alessandro", "" ], [ "Sias", "Carlo", "" ], [ "Lignier", "Hans", "" ], [ "Singh", "Yeshpal", "" ], [ "Ciampini", "Donatella", "" ], [ "Morsch", "Oliver", "" ], [ "Mannella", "Riccardo", "" ], [ "Arimondo", "Ennio", "" ], [ "Tomadin", "Andrea", "" ], [ "Wimberger", "Sandro", "" ] ]
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712.3867
Rahul Jain
Rahul Jain (U. Waterloo) and Ashwin Nayak (U. Waterloo and Perimeter) and Yi Su (U. Waterloo)
A Separation between Divergence and Holevo Information for Ensembles
15 pages, 1 figure, version 1
null
null
null
quant-ph
null
The notion of divergence information of an ensemble of probability distributions was introduced by Jain, Radhakrishnan, and Sen in the context of the ``substate theorem''. Since then, divergence has been recognized as a more natural measure of information in several situations in quantum and classical communication. We construct ensembles of probability distributions for which divergence information may be significantly smaller than the more standard Holevo information. As a result, we establish that lower bounds previously shown for Holevo information are weaker than similar ones shown for divergence information.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:24:38 GMT" }, { "version": "v2", "created": "Sat, 29 Dec 2007 13:08:35 GMT" } ]
2008-01-02T00:00:00
[ [ "Jain", "Rahul", "", "U. Waterloo" ], [ "Nayak", "Ashwin", "", "U. Waterloo and Perimeter" ], [ "Su", "Yi", "", "U. Waterloo" ] ]
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712.3868
Pierluigi Contucci
Pierluigi Contucci, Francesco Unguendoli
Correlation Inequalities for Spin Glass in one Dimension
typos corrected
null
null
null
math-ph cond-mat.dis-nn cond-mat.stat-mech math.MP
null
We prove two inequalities for the direct and truncated correlation for the nearest-neighboor one-dimensional Edwards-Anderson model with symmetric quenched disorder. The second inequality has the opposite sign of the GKS inequality of type II. In the non symmetric case with positive average we show that while the direct correlation keeps its sign the truncated one changes sign when crossing a suitable line in the parameter space. That line separates the regions satisfying the GKS second inequality and the one proved here.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:40:45 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 18:23:00 GMT" } ]
2008-01-07T00:00:00
[ [ "Contucci", "Pierluigi", "" ], [ "Unguendoli", "Francesco", "" ] ]
[ -0.033281222, -0.0123909283, 0.0414463431, 0.0231106337, 0.0215587839, 0.0450514108, 0.049324967, -0.0598775521, -0.1156486645, 0.0070609194, 0.074632071, -0.0143008986, 0.0064103361, 0.0590180643, -0.0016249664, -0.0104332101, -0.0048077521, 0.1175586358, 0.0044675386, 0.0625515059, -0.1332203895, -0.0499934591, 0.012104433, -0.0430936925, -0.0333289728, 0.084229663, 0.1111602411, 0.0116090346, 0.1497416198, 0.0103496481, 0.0105167711, -0.0043242909, 0.0036289424, -0.1160306633, -0.1176541373, 0.2207925022, 0.0211171024, 0.1679818332, -0.0731518418, -0.0366952941, -0.0485371053, 0.0145396451, -0.0350240692, 0.0153155699, 0.0690454096, -0.0313951261, 0.0066013327, -0.0839909166, -0.0009594614, -0.0813647136, -0.056630604, 0.0048137205, -0.0085351774, -0.0539088957, -0.0775447711, -0.0010213861, 0.0304878913, 0.1020878851, 0.0400138646, -0.144680202, 0.0314190015, -0.1134522036, 0.0544341393, 0.0748230666, -0.0539566465, -0.0542908907, -0.0245431103, 0.0916308016, 0.114120692, 0.0221198369, -0.1304509342, -0.0080696223, 0.0696661472, 0.0261427108, -0.0318248719, 0.0596865527, 0.0246147346, 0.0189803243, 0.0405868553, 0.0693318993, -0.0078487815, 0.0542908907, 0.0866648778, 0.050518699, -0.0156020653, -0.1016103923, 0.0147187039, 0.0499934591, 0.0082009323, -0.007186261, -0.0270976964, -0.0244237371, -0.0035722402, 0.0001362532, 0.0210454799, -0.0498502105, 0.2397011966, -0.0893388316, -0.0364565477, 0.0311563816, -0.065798454, 0.0206754226, 0.015828874, -0.0013511544, 0.0728175938, 0.0350479446, -0.0109524829, -0.090341568, -0.0161034316, -0.0389633812, 0.101037398, -0.0345227048, -0.0864261314, 0.0787385032, 0.0000715772, -0.0644137263, -0.0876676142, -0.1277769804, 0.0346420743, 0.0311086327, -0.0133936629, -0.1465901732, 0.0501844548, -0.0788339972, -0.0169032328, -0.086187385, -0.0626947582, -0.1714197844, -0.0406107306, 0.0274319407, 0.1212830767, 0.0239343084, -0.0500412062, -0.0036587857, -0.0459347703, 0.0322784893, 0.0623605102, 0.0097050341, 0.0629335046, 0.0194339417, -0.0511394404, 0.0586838201, -0.0153871933, 0.0062491824, 0.0785475075, -0.0034767417, -0.020233741, -0.0201501809, 0.0187296402, 0.0193265062, -0.0220243391, 0.0009781134, 0.0912965536, -0.0349763222, -0.0168674197, -0.0781655088, 0.0609280355, 0.0168077331, 0.0320158675, -0.0879063606, 0.0531926565, 0.0304878913, -0.063601993, -0.0066908626, 0.0561531112, 0.0104869278, -0.1195641086, -0.0035811933, 0.0231345091, -0.1064808145, 0.0124386782, 0.0362178013, -0.1176541373, -0.055866614, 0.1269174814, -0.0226928275, -0.0469375066, -0.0872856155, -0.0429981947, 0.0355731845, 0.0060820598, 0.0315861255, 0.011549348, -0.0501844548, -0.0228599496, 0.0885270983, 0.0392498784, 0.0101526827, -0.0081949634, 0.0183953959, -0.0006602825, 0.0105585512, 0.1145026833, 0.111733228, -0.0316338725, -0.0498502105, 0.0225615166, 0.1358943433, 0.0050852946, 0.0465316363, 0.0473672487, -0.0036916134, 0.0058254078, -0.0435234345, -0.0961669758, -0.0353105664, 0.007914437, -0.0661327019, -0.0470807552, 0.0351673178, 0.0627902523, -0.0341884568, 0.0235881265, -0.0376025289, -0.0074906624, 0.023612, -0.0295329075, 0.0133578507, 0.0576810874, 0.0820809528, -0.114884682, 0.0479163639, -0.0126774237, 0.0610712841, -0.0384620167, 0.0579675809, 0.1122107208, -0.032469485, 0.0525719151, -0.0644614771, 0.028530173, 0.003133544, -0.0332334749, -0.0597820543, -0.0072041671, -0.0859008878, 0.0484416075, 0.0150768235, -0.0417805873, -0.0742500722, -0.0071564177, 0.0156617519, -0.0542908907, 0.0050584353, 0.0054881787, -0.041613467, -0.0589703172, 0.0393215008, -0.0273603164, 0.0058970316, -0.1085817814, 0.0758257955, -0.0135846594, -0.012617738, -0.0537179001, -0.0565828532 ]
712.3869
Pakovich Fedor
M. Muzychuk, F. Pakovich
Jordan-Holder theorem for imprimitivity systems and maximal decompositions of rational functions
In the current version the approach was considerably simplified and a lot of new material was added (see e.g. Section 2.2, Section 2.3 and Section 3.2). On the other hand, some results of rather calculating character were removed
null
10.1112/plms/pdq009
null
math.CV math.AG math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we prove several results about the lattice of imprimitivity systems of a permutation group containing a cyclic subgroup with at most two orbits. As an application we generalize the first Ritt theorem about functional decompositions of polynomials, and some other related results. Besides, we discuss examples of rational functions, related to finite subgroups of the automorphism group of the sphere for which the first Ritt theorem fails to be true.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:47:50 GMT" }, { "version": "v2", "created": "Wed, 7 Jan 2009 16:34:49 GMT" } ]
2014-02-26T00:00:00
[ [ "Muzychuk", "M.", "" ], [ "Pakovich", "F.", "" ] ]
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712.387
Bruce Hajek
Bruce Hajek
Substitute Valuations: Generation and Structure
Revision includes more background and explanations
null
10.1016/j.peva.2008.07.001
null
cs.GT cs.PF
null
Substitute valuations (in some contexts called gross substitute valuations) are prominent in combinatorial auction theory. An algorithm is given in this paper for generating a substitute valuation through Monte Carlo simulation. In addition, the geometry of the set of all substitute valuations for a fixed number of goods K is investigated. The set consists of a union of polyhedrons, and the maximal polyhedrons are identified for K=4. It is shown that the maximum dimension of the maximal polyhedrons increases with K nearly as fast as two to the power K. Consequently, under broad conditions, if a combinatorial algorithm can present an arbitrary substitute valuation given a list of input numbers, the list must grow nearly as fast as two to the power K.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:52:39 GMT" }, { "version": "v2", "created": "Thu, 13 Mar 2008 16:14:03 GMT" }, { "version": "v3", "created": "Mon, 19 May 2008 14:50:58 GMT" } ]
2014-08-15T00:00:00
[ [ "Hajek", "Bruce", "" ] ]
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712.3871
Denis Dalmazi
D. Dalmazi, A. de Souza Dutra
Multiflavor Soldering
14 pages, no figures
Phys.Lett.B656:158-163,2007
10.1016/j.physletb.2007.09.007
null
hep-th
null
In two dimensions the simple addition of two chiral bosons of opposite chiralities does not lead to a full massless scalar field. Similarly, in three dimensions the addition of two Maxwell-Chern-Simons fields of opposite helicities $\pm 1$ will not produce a parity invariant Maxwell-Proca theory. An interference term between the opposite chiralities (helicities) states is required in order to obtain the expected result. The so called soldering procedure provides the missing interference Lagrangian in both 2D and 3D cases. In two dimensions such interference term allows to fuse two chiral fermionic determinants into a nonchiral one. In a recent work we have generalized this procedure by allowing the appearance of an extra parameter which takes two possible values and leads to two different soldered Lagrangians. Here we apply this generalized soldering in a bosonic theory which has appeared in a partial bosonization of the 3D gauged Thirring with $N$ flavors. The multiplicity of flavors allow new types of solderings and help us to understand the connection between different perturbative approaches to bosonization in 3D. In particular, we obtain an interference term which takes us from a multiflavor Maxwell-Chern-Simons theory to a pair of self-dual and anti-self-dual theories when we combine together both fermionic determinants of +1/2 and -1/2 helicity fermions. An important role is played by a set of pure non-interacting Chern-Simons fields which amount to a normalization factor in the fermionic determinants and act like spectators in the original theory but play an active role in the soldering procedure. Our results suggest that the generalized soldering could be used to provide dual theories in both 2D and 3D cases.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 16:57:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Dalmazi", "D.", "" ], [ "Dutra", "A. de Souza", "" ] ]
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712.3872
Denis Dalmazi
D. Dalmazi and A. de Souza Dutra
Restrictions over two-dimensional gauge models with Thirring-like interaction
9 pages, no figures
J.Phys.A40:13479-13484,2007
10.1088/1751-8113/40/44/024
null
hep-th
null
Some years ago, it was shown how fermion self-interacting terms of the Thirring-type impact the usual structure of massless two-dimensional gauge theories [1]. In that work only the cases of pure vector and pure chiral gauge couplings have been considered and the corresponding Thirring term was also pure vector and pure chiral respectively, such that the vector (or chiral) Schwinger model should not lose its chirality structure due to the addition of the quartic interaction term. Here we extend this analysis to a generalized vector and axial coupling both for the gauge interaction and the quartic fermionic interactions. The idea is to perform quantization without losing the original structure of the gauge coupling. In order to do that we make use of an arbitrariness in the definition of the Thirring-like interaction.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 17:12:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Dalmazi", "D.", "" ], [ "Dutra", "A. de Souza", "" ] ]
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712.3873
Matthias Sch\"utt
Matthias Schuett, Andreas Schweizer
On the uniqueness of elliptic K3 surfaces with maximal singular fibre
20 pages; v2: refereed version with some corrections and additions; author addresses and bibliography updated
Annales de l'institut Fourier, 63 no. 2 (2013), p. 689-713
null
null
math.AG math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explicitly determine the elliptic K3 surfaces with a maximal singular fibre. If the characteristic of the ground field is different from 2, for each of the two possible maximal fibre types, $I_{19}$ and $I^*_{14}$, the surface is unique. In characteristic 2 the maximal fibre types are $I_{18}$ and $I^*_{13}$, and there exist two (resp. one) one-parameter families of such surfaces.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 17:33:40 GMT" }, { "version": "v2", "created": "Thu, 6 Jan 2011 07:46:38 GMT" } ]
2013-07-02T00:00:00
[ [ "Schuett", "Matthias", "" ], [ "Schweizer", "Andreas", "" ] ]
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712.3874
Thomas Thompson
Thomas W. J. Thompson, Duncan K. Galloway, Richard E. Rothschild, and Lee Homer
Deviations from the Flux-Recurrence Time Relationship in GS 1826-238: Potential Transient Spectral Changes
10 pages, 9 figures, Accepted by ApJ
null
10.1086/588723
null
astro-ph
null
The low-mass X-ray binary GS 1826-238 is presently unique for its consistently regular bursting behavior. In previous Rossi X-Ray Timing Explorer (RXTE) measurements between 1997 November and 2002 July, this source exhibited (nearly) limit-cycle bursts with recurrence times that decreased proportionately as the persistent flux increased. Here we report additional measurements of the burst recurrence time by RXTE, Chandra, and XMM-Newton, as well as observations of optical bursts. On a few occasions we measured burst recurrence times which deviated significantly from the earlier flux-recurrence time relationship, and most of these bursts occurred earlier than would be predicted based on the X-ray flux level. The epochs with early bursts were also accompanied by unusual broadband timing signatures, with the entire power spectrum shifting to higher frequencies. Concurrent XMM-Newton observations during one of these occasions, in 2003 April, indicate that an additional soft component may be present in the spectrum containing enough flux (30% of the total) to account for the burst recurrence time discrepancy. A self-consistent interpretation for the increase in soft flux and accompanying timing changes during 2003 April is that accretion disk extends down to smaller radial distances from the source than during the other observing epochs. The RXTE observations since 2003 April show that the spectral and timing properties have nearly returned to the previously established level.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 18:05:49 GMT" }, { "version": "v2", "created": "Fri, 21 Mar 2008 18:33:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Thompson", "Thomas W. J.", "" ], [ "Galloway", "Duncan K.", "" ], [ "Rothschild", "Richard E.", "" ], [ "Homer", "Lee", "" ] ]
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712.3875
Massoud Tousi
Mohsen Asgharzadeh and Massoud Tousi
A Unified Approach to Local Cohomology Modules Using Serre Classes
10 pages
Can. Math. Bull. 53 (2010) 577-586
10.4153/CMB-2010-064-0
null
math.AC
null
This paper discusses the connection between the local cohomology modules and the Serre classes of $R$-modules. Such connection provided a common language for expressing some results about the local cohomology $R$-modules, that has appeared in different papers.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 17:56:11 GMT" }, { "version": "v2", "created": "Tue, 8 Apr 2008 09:11:03 GMT" } ]
2019-08-15T00:00:00
[ [ "Asgharzadeh", "Mohsen", "" ], [ "Tousi", "Massoud", "" ] ]
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712.3876
Amir Rothschild
Ely Porat and Amir Rothschild
Explicit Non-Adaptive Combinatorial Group Testing Schemes
15 pages, accepted to ICALP 2008
null
null
null
cs.DS
null
Group testing is a long studied problem in combinatorics: A small set of $r$ ill people should be identified out of the whole ($n$ people) by using only queries (tests) of the form "Does set X contain an ill human?". In this paper we provide an explicit construction of a testing scheme which is better (smaller) than any known explicit construction. This scheme has $\bigT{\min[r^2 \ln n,n]}$ tests which is as many as the best non-explicit schemes have. In our construction we use a fact that may have a value by its own right: Linear error-correction codes with parameters $[m,k,\delta m]_q$ meeting the Gilbert-Varshamov bound may be constructed quite efficiently, in $\bigT{q^km}$ time.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 21:04:34 GMT" }, { "version": "v2", "created": "Wed, 23 Jan 2008 22:30:43 GMT" }, { "version": "v3", "created": "Sun, 27 Apr 2008 20:32:13 GMT" }, { "version": "v4", "created": "Tue, 29 Apr 2008 19:55:32 GMT" }, { "version": "v5", "created": "Tue, 29 Apr 2008 20:02:41 GMT" } ]
2008-04-29T00:00:00
[ [ "Porat", "Ely", "" ], [ "Rothschild", "Amir", "" ] ]
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712.3877
Tim Riley
Will Dison, Murray Elder, Tim Riley and Robert Young
The Dehn function of Stallings' group
19 pages, 2 figures
Geometric and Functional Analysis, 19(2), pages 406-422, 2009
10.1007/s00039-009-0011-9
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F_3 is quadratic. To appear in Geometric and Functional Analysis.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 20:17:52 GMT" }, { "version": "v2", "created": "Thu, 27 Nov 2008 19:38:22 GMT" } ]
2012-05-16T00:00:00
[ [ "Dison", "Will", "" ], [ "Elder", "Murray", "" ], [ "Riley", "Tim", "" ], [ "Young", "Robert", "" ] ]
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712.3878
Jeremy Yirmeyahu Kaminski
J.Y. Kaminski, A. Kanel-Belov and M. Teicher
Trisecant Lemma for Non Equidimensional Varieties
null
J. Math. Sci., 149:2 (2008), 1087--1097
10.1007/s10958-008-0047-7
null
math.AG
null
The classic trisecant lemma states that if $X$ is an integral curve of $\PP^3$ then the variety of trisecants has dimension one, unless the curve is planar and has degree at least 3, in which case the variety of trisecants has dimension 2. In this paper, our purpose is first to present another derivation of this result and then to introduce a generalization to non-equidimensional varities. For the sake of clarity, we shall reformulate our first problem as follows. Let $Z$ be an equidimensional variety (maybe singular and/or reducible) of dimension $n$, other than a linear space, embedded into $\PP^r$, $r \geq n+1$. The variety of trisecant lines of $Z$, say $V_{1,3}(Z)$, has dimension strictly less than $2n$, unless $Z$ is included in a $(n+1)-$dimensional linear space and has degree at least 3, in which case $\dim(V_{1,3}(Z)) = 2n$. Then we inquire the more general case, where $Z$ is not required to be equidimensional. In that case, let $Z$ be a possibly singular variety of dimension $n$, that may be neither irreducible nor equidimensional, embedded into $\PP^r$, where $r \geq n+1$, and $Y$ a proper subvariety of dimension $k \geq 1$. Consider now $S$ being a component of maximal dimension of the closure of $\{l \in \G(1,r) \vtl \exists p \in Y, q_1, q_2 \in Z \backslash Y, q_1,q_2,p \in l\}$. We show that $S$ has dimension strictly less than $n+k$, unless the union of lines in $S$ has dimension $n+1$, in which case $dim(S) = n+k$. In the latter case, if the dimension of the space is stricly greater then $n+1$, the union of lines in $S$ cannot cover the whole space. This is the main result of our work. We also introduce some examples showing than our bound is strict.
[ { "version": "v1", "created": "Sat, 22 Dec 2007 20:27:10 GMT" } ]
2017-12-05T00:00:00
[ [ "Kaminski", "J. Y.", "" ], [ "Kanel-Belov", "A.", "" ], [ "Teicher", "M.", "" ] ]
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