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0706.4014
Ralph Kraft
R. P. Kraft, W. R. Forman, M. J. Hardcastle, C. Jones, P. E. J. Nulsen
The Disturbed 17 keV Cluster Associated with the Radio Galaxy 3C 438
13 pages, 4 figures, 1 table - accepted for publication in the Astrophysical Journal Letters
null
10.1086/520955
null
astro-ph
null
We present results from a {\em Chandra} observation of the cluster gas associated with the FR II radio galaxy 3C 438. This radio galaxy is embedded within a massive cluster with gas temperature $\sim$17 keV and bolometric luminosity of 6$\times10^{45}$ ergs s$^{-1}$. It is unclear if this high temperature represents the gravitational mass of the cluster, or if this is an already high ($\sim$ 11 keV) temperature cluster that has been heated transiently. We detect a surface brightness discontinuity in the gas that extends $\sim$600 kpc through the cluster. The radio galaxy 3C 438 is too small ($\sim$110 kpc across) and too weak to have created this large disturbance in the gas. The discontinuity must be the result of either an extremely powerful nuclear outburst or the major merger of two massive clusters. If the observed features are the result of a nuclear outburst, it must be from an earlier epoch of unusually energetic nuclear activity. However, the energy required ($\sim10^{63}$ ergs) to move the gas on the observed spatial scales strongly supports the merger hypothesis. In either scenario, this is one of the most extreme events in the local Universe.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 12:42:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Kraft", "R. P.", "" ], [ "Forman", "W. R.", "" ], [ "Hardcastle", "M. J.", "" ], [ "Jones", "C.", "" ], [ "Nulsen", "P. E. J.", "" ] ]
0706.4015
Franck Petit
Christian Boulinier (LaRIA), Franck Petit (LaRIA)
Self-Stabilizing Wavelets and r-Hops Coordination
null
Rapport Interne (01/04/2007)
null
null
cs.DC
null
We introduce a simple tool called the wavelet (or, r-wavelet) scheme. Wavelets deals with coordination among processes which are at most r hops away of each other. We present a selfstabilizing solution for this scheme. Our solution requires no underlying structure and works in arbritrary anonymous networks, i.e., no process identifier is required. Moreover, our solution works under any (even unfair) daemon. Next, we use the wavelet scheme to design self-stabilizing layer clocks. We show that they provide an efficient device in the design of local coordination problems at distance r, i.e., r-barrier synchronization and r-local resource allocation (LRA) such as r-local mutual exclusion (LME), r-group mutual exclusion (GME), and r-Reader/Writers. Some solutions to the r-LRA problem (e.g., r-LME) also provide transformers to transform algorithms written assuming any r-central daemon into algorithms working with any distributed daemon.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 12:53:06 GMT" } ]
2007-06-28T00:00:00
[ [ "Boulinier", "Christian", "", "LaRIA" ], [ "Petit", "Franck", "", "LaRIA" ] ]
0706.4016
Mauro R. Cosentino
Mauro R. Cosentino (for the Star Collaboration)
Heavy-Quarkonia in the Star Experiment
Proceedings of X Hadron Physics, submitted to Int. Journal of Mod. Phys. E
null
10.1142/S021830130700880X
null
nucl-ex
null
Heavy Quarkonium states modifications in relativistic heavy ion collisions have been of great interest since the proposal by Matsui and Satz of J/psi suppression as a signature of Quark-Gluon Plasma (QGP) formation. Recent studies suggest that the excited states chi_c, psi(2S) and Upsilon(3S) melt sequentially[1,2] and the amount of observed suppression depends on the state and medium conditions. Therefore, this suppression pattern may be used as a probe of the medium temperature. In this work we present preliminary results on the charmonium and bottomnium measurements performed by the STAR experiment at RHIC for p+p and Cu+Cu collisions at sqrt(s_{NN})=200GeV
[ { "version": "v1", "created": "Wed, 27 Jun 2007 12:54:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Cosentino", "Mauro R.", "", "for the Star Collaboration" ] ]
0706.4017
Cedran Bomhof
C. J. Bomhof, P. J. Mulders
The Role of Gauge Invariance in Single-Spin Asymmetries
Talk presented at the 15th International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2007), April 16-20, 2007, Munich, Germany
null
null
null
hep-ph
null
We argue that through the Wilson lines, gauge invariance has as an effect that the hard functions in weighted spin-asymmetries in hadronic scattering processes are given by gluonic pole cross sections, rather than the usual partonic cross sections.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 12:55:34 GMT" } ]
2007-06-28T00:00:00
[ [ "Bomhof", "C. J.", "" ], [ "Mulders", "P. J.", "" ] ]
0706.4018
Catherine Rainer
Rainer Buckdahn, Jin Ma, Catherine Rainer
Stochastic control problems for systems driven by normal martingales
Published in at http://dx.doi.org/10.1214/07-AAP467 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2008, Vol. 18, No. 2, 632-663
10.1214/07-AAP467
IMS-AAP-AAP467
math.PR math.OC
null
In this paper we study a class of stochastic control problems in which the control of the jump size is essential. Such a model is a generalized version for various applied problems ranging from optimal reinsurance selections for general insurance models to queueing theory. The main novel point of such a control problem is that by changing the jump size of the system, one essentially changes the type of the driving martingale. Such a feature does not seem to have been investigated in any existing stochastic control literature. We shall first provide a rigorous theoretical foundation for the control problem by establishing an existence result for the multidimensional structure equation on a Wiener--Poisson space, given an arbitrary bounded jump size control process; and by providing an auxiliary counterexample showing the nonuniqueness for such solutions. Based on these theoretical results, we then formulate the control problem and prove the Bellman principle, and derive the corresponding Hamilton--Jacobi--Bellman (HJB) equation, which in this case is a mixed second-order partial differential/difference equation. Finally, we prove a uniqueness result for the viscosity solution of such an HJB equation.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:03:16 GMT" }, { "version": "v2", "created": "Fri, 4 Apr 2008 05:56:05 GMT" } ]
2008-04-04T00:00:00
[ [ "Buckdahn", "Rainer", "" ], [ "Ma", "Jin", "" ], [ "Rainer", "Catherine", "" ] ]
0706.4019
Ian Hambleton
Ian Hambleton and Wolfgang Lueck
Induction and computation of Bass Nil Groups for finite groups
21 pages. Final version
Pure and Applied Mathematics Quarterly, Volume 8, Number 1, Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones, Part 1 of 2, 199-219, 2012
null
null
math.KT math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let G be a finite group. We show that the Bass Nil-groups $NK_n(RG)$, $n \in Z$, are generated from the p-subgroups of G by induction maps, certain twisting maps depending on elements in the centralizers of the p-subgroups, and the Verschiebung homomorphisms. As a consequence, the groups $NK_n(RG)$ are generated by induction from elementary subgroups. For $NK_0(ZG)$ we get an improved estimate of the torsion exponent.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:18:14 GMT" }, { "version": "v2", "created": "Tue, 1 Apr 2008 18:01:19 GMT" }, { "version": "v3", "created": "Fri, 20 Aug 2010 14:47:42 GMT" } ]
2010-08-23T00:00:00
[ [ "Hambleton", "Ian", "" ], [ "Lueck", "Wolfgang", "" ] ]
0706.4020
Jeremy Dunning-Davies
J. Dunning-Davies
Extensivity and Relativistic Thermodynamics
7 pages
null
null
null
physics.gen-ph
null
The mathematical properties associated with the widely accepted concept of the extensivity of many of the common thermodynamic variables are examined and some of their consequences considered. The possible conflict between some of these and currently accepted results of special relativistic thermodynamics is highlighted. Although several questions are raised, answers are not advanced as this seems an area demanding calm, widespread reflection which could conceivably lead to radical revision of part, or parts, of theoretical physics.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:11:11 GMT" } ]
2007-06-28T00:00:00
[ [ "Dunning-Davies", "J.", "" ] ]
0706.4021
Andrea Rapisarda
A. Pluchino, A. Rapisarda and C. Tsallis
Nonergodicity and Central Limit Behavior for Long-range Hamiltonians
6 pages 7 figures. Improved version accepted for publication on Europhysics Letters
Europhysics Letters, 80 (2007) 26002
10.1209/0295-5075/80/26002
null
cond-mat.stat-mech astro-ph nucl-th physics.data-an
null
We present a molecular dynamics test of the Central Limit Theorem (CLT) in a paradigmatic long-range-interacting many-body classical Hamiltonian system, the HMF model. We calculate sums of velocities at equidistant times along deterministic trajectories for different sizes and energy densities. We show that, when the system is in a chaotic regime (specifically, at thermal equilibrium), ergodicity is essentially verified, and the Pdfs of the sums appear to be Gaussians, consistently with the standard CLT. When the system is, instead, only weakly chaotic (specifically, along longstanding metastable Quasi-Stationary States), nonergodicity (i.e., discrepant ensemble and time averages) is observed, and robust $q$-Gaussian attractors emerge, consistently with recently proved generalizations of the CLT.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:16:17 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 13:34:11 GMT" }, { "version": "v3", "created": "Mon, 3 Sep 2007 08:20:54 GMT" } ]
2011-11-10T00:00:00
[ [ "Pluchino", "A.", "" ], [ "Rapisarda", "A.", "" ], [ "Tsallis", "C.", "" ] ]
0706.4022
Delphine Porquet
Delphine Porquet (OAS), Phil Uttley (School of Physics and Astronomy, University of Southampton, Uk), James N. Reeves (LHEA, Goddard, Usa, Johns Hopkins University, Usa, University of Keele, Uk), Alex Markowitz (LHEA, Goddard, Usa, Johns Hopkins University, Usa), Stefano Bianchi (Universita Degli Studi Roma Tre, Italy), Nicolas Grosso (OAS), Lance Miller (University of Oxford, Uk), Sandrine Deluit (CESR), Ian M. George (University of Maryland)
A 100ks XMM-Newton view of the Seyfert 1.8 ESO113-G010. I. Discovery of large X-ray variability and study of the FeKalpha line complex
Accepted for publication in A&A, 10 pages, 11 figures, 2 tables
null
10.1051/0004-6361:20077699
null
astro-ph
null
(Abridged) We present here a long (100ks) XMM-Newton follow-up of the Seyfert 1.8 galaxy ESO113-G010 performed in November 2005, in order to study over a longer time-scale its main X-ray properties. The source was found in a higher/softer time-averaged flux state, and timing analysis of this source reveals strong, rapid variability. The Power Spectral Density (PSD) analysis indicates (at 95% c.l.) a break at 3.7 x 10^-4 Hz. This cut-off frequency is comparable to those measured in some other rapidly-variable Seyferts, such as MCG-6-30-15 and NGC4051. From the mass-luminosity-time-scale, we infer that M_BH ranges from 4 x 10^6 - 10^7 M_odot and the source is accreting at or close to the Eddington rate (or even higher). The existing data cannot distinguish between spectral pivoting of the continuum and a two-component origin for the spectral softening, primarily because the data do not span a broad enough flux range. In the case of the two-component model, the fractional offsets measured in the flux-flux plots increase significantly toward higher energies (similar to what is observed in MCG-6-30-15) as expected if there exists a constant reflection component. Contrary to May 2001, no significant highly redshifted emission line is observed (which might be related to the source flux level), while two narrow emission lines at about 6.5keV and 7keV are observed. The S/N is not high enough to establish if the lines are variable or constant. As already suggested by the 2001 observation, no significant constant narrow 6.4keV FeK line (EW~32eV) is observed, hence excluding any dominant emission from distant cold matter such as a torus in this Seyfert type 1.8 galaxy.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:17:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Porquet", "Delphine", "", "OAS" ], [ "Uttley", "Phil", "", "School of Physics and Astronomy,\n University of Southampton, Uk" ], [ "Reeves", "James N.", "", "LHEA, Goddard, Usa, Johns\n Hopkins University, Usa, University of Keele, Uk" ], [ "Markowitz", "Alex", "", "LHEA,\n Goddard, Usa, Johns Hopkins University, Usa" ], [ "Bianchi", "Stefano", "", "Universita\n Degli Studi Roma Tre, Italy" ], [ "Grosso", "Nicolas", "", "OAS" ], [ "Miller", "Lance", "", "University\n of Oxford, Uk" ], [ "Deluit", "Sandrine", "", "CESR" ], [ "George", "Ian M.", "", "University of\n Maryland" ] ]
0706.4023
C. Hanhart
V. Baru, J. Haidenbauer, C. Hanhart, A. Kudryavtsev, V. Lensky, and U.-G. Mei{\ss}ner
Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
11 pages
Phys.Lett.B659:184-191,2008
10.1016/j.physletb.2007.10.063
FZJ-IKP(TH)-2005-22, HISKP-TH-07-19
nucl-th hep-ph
null
We investigate the role of the delta isobar in the reaction $\pi d\to \pi d$ at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up to the order (m_pi/M_N)^(3/2), with m_pi (M_N) for the pion (nucleon) mass. The net effect of all delta contributions at this order to the pion-deuteron scattering length is (2.4 +/- 0.4)x 10^(-3) m_pi^{-1}.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:28:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Baru", "V.", "" ], [ "Haidenbauer", "J.", "" ], [ "Hanhart", "C.", "" ], [ "Kudryavtsev", "A.", "" ], [ "Lensky", "V.", "" ], [ "Meißner", "U. -G.", "" ] ]
0706.4024
John H. Debes
J.H. Debes, S. Sigurdsson, B. Hansen
Cool Customers in the Stellar Graveyard IV: Spitzer Search for Mid-IR excesses Around Five DAs
18 pages, 8 figures, Accepted to AJ
Astron.J.134:1662-1670,2007
10.1086/521394
null
astro-ph
null
Hydrogen atmosphere white dwarfs with metal lines, so-called DAZs, require external accretion of material to explain the presence of weak metal line absorption in their photospheres. The source of this material is currently unknown, but could come from the interstellar medium, unseen companions, or relic planetesimals from asteroid belt or Kuiper belt analogues. Accurate mid-infrared photometry of these white dwarfs provide additional information to solve the mystery of this accretion and to look for evidence of planetary systems that have survived post main sequence evolution. We present {\em Spitzer} IRAC photometry accurate to $\sim$3% for four DAZs and one DA with circumstellar absorption lines in the UV. We search for excesses due to unseen companions or circumstellar dust disks. We use {\em Hubble Space Telescope} NICMOS imaging of these white dwarfs to gauge the level of background contamination to our targets as well as rule out common proper motion companions to WD 1620-391. All of our targets show no excesses due to companions $>$20 M$_{J}$, ruling out all but very low mass companions to these white dwarfs at all separations. No excesses due to circumstellar disks are observed, and we place limits on what types of disks may still be present.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:30:14 GMT" } ]
2009-06-23T00:00:00
[ [ "Debes", "J. H.", "" ], [ "Sigurdsson", "S.", "" ], [ "Hansen", "B.", "" ] ]
0706.4025
Michael Sarrazin
Fabrice Petit, Michael Sarrazin
Plausible "faster-than-light" displacements in a two-sheeted spacetime
17 pages, 1 figure. Final version. Accepted for publication in Phys. Rev. D
Phys.Rev.D76:085005,2007
10.1103/PhysRevD.76.085005
null
hep-th gr-qc
null
In this paper, we explore the implications of a two-point discretization of an extra-dimension in a five-dimensional quantum setup. We adopt a pragmatic attitude by considering the dynamics of spin-half particles through the simplest possible extension of the existing Dirac and Pauli equations. It is shown that the benefit of this approach is to predict new physical phenomena while maintaining the number of constitutive hypothesis at minimum. As the most striking feature of the model, we demonstrate the possibility of fermionic matter oscillations between the two four-dimensional sections and hyper-fast displacements in case of asymmetric warping (without conflicting special relativity). This result, similar to previous reported ones in brane-world theories, is completely original as it is derived by using quantum mechanics only without recourse to general relativity and bulk geodesics calculation. The model allows causal contact between normally disconnected regions. If it proves to be physically founded, its practical aspects could have deep implications for the search of extra-dimensions.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:31:41 GMT" }, { "version": "v2", "created": "Thu, 16 Aug 2007 18:55:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Petit", "Fabrice", "" ], [ "Sarrazin", "Michael", "" ] ]
0706.4026
Susan Schadmand
S. Schadmand
Two Pion Production from Nuclei
Proceedings of YKIS2006: Yukawa Interantional Symposium 2006 - Excited Hadrons adn Hadronic Matter, Kyoto, Japan, 4.-8.Dec.2006
Prog.Theor.Phys.Suppl.168:466-469,2007
10.1143/PTPS.168.466
null
nucl-ex
null
Differences in the photoproduction of mesons on the free proton and on nuclei are expected to reveal changes in the properties of hadrons. Double pion photoproduction from nuclei has been used to investigate the in medium modification of meson-meson interactions with the TAPS photon spectrometer at MAMI-B. Recent developments are reported. Hadron-hadron interactions and meson production and decays involving light nuclei are also studied in hadron induced experiments. In particular, the physics program of the new WASA-at-COSY facility includes double pion production from light nuclei. Here, the efforts focus on the ABC effect, the puzzling low-mass enhancement in the pi-pi invariant mass spectrum, first observed in inclusive measurements of two-pion production in nuclear collisions.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:31:53 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 13:42:26 GMT" } ]
2008-11-26T00:00:00
[ [ "Schadmand", "S.", "" ] ]
0706.4027
Davide Ceresoli
D. Ceresoli, T. Zykova-Timan, U. Tartaglino and E. Tosatti
Alkali Halide Surfaces Near Melting: Wetting and Nanofriction Properties
9 pages, 6 figures; High Temperature Capillarity 2007 (HTC-07) proceeding
Materials Science and Engineering: A Volume 495, Issues 1-2, 15 November 2008, Pages 32-35
10.1016/j.msea.2007.09.092
null
cond-mat.mtrl-sci cond-mat.soft cond-mat.stat-mech
null
Alkali halide (100) crystal surfaces are poorly wetted by their own melt at the triple point. We carried out simulations for NaCl(100) within the well tested BMHFT model potential. Calculations of the solid-vapor, solid-liquid and liquid-vapor free energies showed that solid NaCl(100) is a non-melting surface, and explain its bad wetting in detail. The extreme stability of NaCl(100) is ideal for a study of the nanofriction in the high temperature regime, close to and even above the bulk melting temperature (T_M). Our simulations reveal in this regime two distinct and opposite phenomena for plowing and for grazing friction. We found a frictional drop close to T_M for deep ploughing and wear, but on the contrary a frictional rise for grazing, wearless sliding. For both phenomena we obtain a fresh microscopic understanding, relating the former to ``skating'' through a local liquid cloud, the latter to softening of the free substrate surface. It is argued that both phenomena, to be pursued experimentally, should be much more general than the specific NaCl surface case. Most metals in particular possessing one or more close packed non-melting surface, such as Pb, Al or Au(111), should behave quite similarly.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:34:49 GMT" } ]
2008-09-25T00:00:00
[ [ "Ceresoli", "D.", "" ], [ "Zykova-Timan", "T.", "" ], [ "Tartaglino", "U.", "" ], [ "Tosatti", "E.", "" ] ]
0706.4028
Sergiy Khan A
S. A. Khan, D. V. Shulyak
Theoretical analysis of the atmospheres of CP stars. Effects of the individual abundance patterns
18 pages, 9 figures
Astron.Astrophys.469:1083-1100,2007
10.1051/0004-6361:20077192
null
astro-ph
null
Context. See abstract in the paper. Aims. See abstract in the paper. Methods. See abstract in the paper. Results. We present a homogeneous study of model atmosphere temperature structure, energy distribution, photometric indices in the uvbybeta and Delta_a systems, hydrogen line profiles, and the abundance determination procedure as it applies to CP stars. In particular, we found that Si, Cr and Fe are the main elements to influence model atmospheres of CP stars, and thus to be considered in order to assess the adequacy of model atmospheres with scaled solar abundances in application to CP stars. We provide a theoretical explanation of the robust property of the Delta_a photometric system to recognize CP stars with peculiar Fe content. Also, the results of our numerical tests using model atmospheres with one or several elements overabundant (Si and Fe by +1 dex, Cr by +2 dex) suggest that the uncertainty of abundance analysis in the atmospheres of CP stars using models with scaled abundances is less than plus/minus 0.25 dex. If the same homogeneous models are used for the abundance stratification analysis then we find that the uncertainty of the value of the vertical abundance gradient is within an 0.4 dex error bar. Conclusions. Model atmospheres with individual abundance patterns should be used in order to match the actual anomalies of CP stars and minimize analysis errors.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:44:15 GMT" } ]
2009-06-23T00:00:00
[ [ "Khan", "S. A.", "" ], [ "Shulyak", "D. V.", "" ] ]
0706.4029
Francesco Nesi
F. Nesi, M. Grifoni, and E. Paladino
Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning
17 pages, 6 figures
New Journ. Phys., 9, 316 (2007)
10.1088/1367-2630/9/9/316
null
cond-mat.stat-mech cond-mat.other
null
We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary detuning and finite temperatures, in the case of large Q-factors of the oscillator. In general {\em two} or more oscillation frequencies of the two-level particle are observed as a consequence of the entanglement with the oscillator. Our approximated analytical solution well agrees with numerical predictions obtained within the non-interacting blip approximation.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:38:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Nesi", "F.", "" ], [ "Grifoni", "M.", "" ], [ "Paladino", "E.", "" ] ]
0706.4030
Victor Novikov a
Victor Novikov
On the Pauli principle violation in QFT
Presented at Les Rencontres de Physique de La Vallee d'Aoste, March 4-10, 2007, La Thuile, Aosta Valley, Italy
null
null
null
hep-ph
null
We propose a new mechanism for a ''small" violation of Pauli Principle in the framework of Quantum Field Theory. Instead of modification of algebra - commutation relations for fields - we introduce spontaneous violation of Pauli Principle which is proportional to the vacuum fermionic condensate.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:24:41 GMT" } ]
2007-06-28T00:00:00
[ [ "Novikov", "Victor", "" ] ]
0706.4031
Michael Ivanov A
Michael A. Ivanov
Small effects of low-energy quantum gravity
4 pages, 2 figures, Latex; poster contribution to the XIII International Conference "Physical Interpretations of Relativity Theory", Moscow, 2-5 July 2007
null
null
null
hep-th astro-ph gr-qc
null
Small effects of quantum gravity on the scale $\sim 10^{-3} eV$ and their cosmological consequences are discussed and compared with observations of supernovae 1a, gamma-ray bursts and galaxies.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 13:44:38 GMT" } ]
2011-11-10T00:00:00
[ [ "Ivanov", "Michael A.", "" ] ]
0706.4032
Marco Thiel
Geoffrey Robinson and Marco Thiel
How much information about a dynamical system do its recurrences contain?
9 pages, 0 figures
null
null
null
math.DS
null
We show that, under suitable assumptions, Poincare recurrences of a dynamical system determine its topology in phase space. Therefore, dynamical systems with the same recurrences are topologically equivalent.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:05:53 GMT" }, { "version": "v2", "created": "Wed, 4 Jul 2007 11:14:06 GMT" } ]
2007-07-04T00:00:00
[ [ "Robinson", "Geoffrey", "" ], [ "Thiel", "Marco", "" ] ]
0706.4033
Bin Wang
Chang Feng, Bin Wang, Yungui Gong and Ru-Keng Su
Testing the viability of the interacting holographic dark energy model by using combined observational constraints
15 pages, 9 figures, accepted for publication in JCAP
JCAP 0709:005,2007
10.1088/1475-7516/2007/09/005
null
astro-ph gr-qc hep-th
null
Using the data coming from the new 182 Gold type Ia supernova samples, the shift parameter of the Cosmic Microwave Background given by the three-year Wilkinson Microwave Anisotropy Probe observations, and the baryon acoustic oscillation measurement from the Sloan Digital Sky Survey, $H(z)$ and lookback time measurements, we have performed a statistical joint analysis of the interacting holographic dark energy model. Consistent parameter estimations show us that the interacting holographic dark energy model is a viable candidate to explain the observed acceleration of our universe.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:03:57 GMT" }, { "version": "v2", "created": "Wed, 15 Aug 2007 20:11:39 GMT" } ]
2009-06-23T00:00:00
[ [ "Feng", "Chang", "" ], [ "Wang", "Bin", "" ], [ "Gong", "Yungui", "" ], [ "Su", "Ru-Keng", "" ] ]
0706.4034
Jozsef Cserti
Jozsef Cserti, Andras Palyi, Csaba Peterfalvi
Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
4 pages, 5 figures
Phys. Rev. Lett. 99, 246801 (2007)
10.1103/PhysRevLett.99.246801
null
cond-mat.mes-hall
null
We show that the wavefunctions form caustics in circular graphene p-n junctions which in the framework of geometrical optics can be interpreted with negative refractive index.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:16:15 GMT" } ]
2007-12-12T00:00:00
[ [ "Cserti", "Jozsef", "" ], [ "Palyi", "Andras", "" ], [ "Peterfalvi", "Csaba", "" ] ]
0706.4035
Sapon Tanachaiwiwat
Sapon Tanachaiwiwat, Ahmed Helmy
Encounter-based worms: Analysis and Defense
Submitted to a journal
null
null
null
cs.NI cs.CR
null
Encounter-based network is a frequently-disconnected wireless ad-hoc network requiring immediate neighbors to store and forward aggregated data for information disseminations. Using traditional approaches such as gateways or firewalls for deterring worm propagation in encounter-based networks is inappropriate. We propose the worm interaction approach that relies upon automated beneficial worm generation aiming to alleviate problems of worm propagations in such networks. To understand the dynamic of worm interactions and its performance, we mathematically model worm interactions based on major worm interaction factors including worm interaction types, network characteristics, and node characteristics using ordinary differential equations and analyze their effects on our proposed metrics. We validate our proposed model using extensive synthetic and trace-driven simulations. We find that, all worm interaction factors significantly affect the pattern of worm propagations. For example, immunization linearly decreases the infection of susceptible nodes while on-off behavior only impacts the duration of infection. Using realistic mobile network measurements, we find that encounters are bursty, multi-group and non-uniform. The trends from the trace-driven simulations are consistent with the model, in general. Immunization and timely deployment seem to be the most effective to counter the worm attacks in such scenarios while cooperation may help in a specific case. These findings provide insight that we hope would aid to develop counter-worm protocols in future encounter-based networks.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 18:01:50 GMT" } ]
2007-06-28T00:00:00
[ [ "Tanachaiwiwat", "Sapon", "" ], [ "Helmy", "Ahmed", "" ] ]
0706.4036
Carol Jones
T. A. A. Sigut, C. E. Jones
The Thermal Structure of the Circumstellar Disk Surrounding the Classical Be Star gamma Cassiopeia
11 pages, 8 figures high resolution figures available at http://inverse.astro.uwo.ca/sig_jon07.html
null
10.1086/521209
null
astro-ph
null
We have computed radiative equilibrium models for the gas in the circumstellar envelope surrounding the hot, classical Be star $\gamma $Cassiopeia. This calculation is performed using a code that incorporates a number of improvements over previous treatments of the disk's thermal structure by \citet{mil98} and \citet{jon04}; most importantly, heating and cooling rates are computed with atomic models for H, He, CNO, Mg, Si, Ca, & Fe and their relevant ions. Thus, for the first time, the thermal structure of a Be disk is computed for a gas with a solar chemical composition as opposed to assuming a pure hydrogen envelope. We compare the predicted average disk temperature, the total energy loss in H$\alpha$, and the near-IR excess with observations and find that all can be accounted for by a disk that is in vertical hydrostatic equilibrium with a density in the equatorial plane of $\rho(R)\approx 3$ to $5\cdot 10^{-11} (R/R_*)^{-2.5} \rm g cm^{-3}$. We also discuss the changes in the disk's thermal structure that result from the additional heating and cooling processes available to a gas with a solar chemical composition over those available to a pure hydrogen plasma.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:18:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Sigut", "T. A. A.", "" ], [ "Jones", "C. E.", "" ] ]
0706.4037
Erik Muller
E. Muller, Q. Parker
Ha Emission from the Magellanic Bridge
11 pages, 8 figures, 3 tables. Accepted for publication in PASA
Publ.Astron.Soc.Austral.24:69-76,2007
10.1071/AS07010
null
astro-ph
null
We present here a preliminary report and commentary of recently processed observations of Ha emission towards the Magellanic Bridge. These data have been analysed in an attempt to quantify the extent to which the stellar population is capable of reshaping the local ISM. We find that the Ha emission regions are small, weak and sparsely distributed, consistent with a relatively quiescent and inactive ISM where radiative and collisional ionisation is inefficient and sporadic. This suggests that energetic processes at the small scale (i.e. ~tens of pc) do not dominate the energy balance within the ISM of the Bridge, which therefore hosts a pristine turbulent structure, otherwise inaccessible within our own Galaxy. We find Ha emission that is well correlated with detected 12CO(1-0) line emission (a proxy for molecular hydrogen), as well as other easily identified ring-like HI features.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:40:08 GMT" } ]
2010-05-17T00:00:00
[ [ "Muller", "E.", "" ], [ "Parker", "Q.", "" ] ]
0706.4038
Frederic Vivien
Matthieu Gallet (LIP, INRIA Rh\^one-Alpes), Yves Robert (LIP, INRIA Rh\^one-Alpes), Fr\'ed\'eric Vivien (LIP, INRIA Rh\^one-Alpes)
Scheduling multiple divisible loads on a linear processor network
null
null
null
null
cs.DC
null
Min, Veeravalli, and Barlas have recently proposed strategies to minimize the overall execution time of one or several divisible loads on a heterogeneous linear network, using one or more installments. We show on a very simple example that their approach does not always produce a solution and that, when it does, the solution is often suboptimal. We also show how to find an optimal schedule for any instance, once the number of installments per load is given. Then, we formally state that any optimal schedule has an infinite number of installments under a linear cost model as the one assumed in the original papers. Therefore, such a cost model cannot be used to design practical multi-installment strategies. Finally, through extensive simulations we confirmed that the best solution is always produced by the linear programming approach, while solutions of the original papers can be far away from the optimal.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:43:13 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 15:02:05 GMT" } ]
2007-06-28T00:00:00
[ [ "Gallet", "Matthieu", "", "LIP, INRIA Rhône-Alpes" ], [ "Robert", "Yves", "", "LIP, INRIA\n Rhône-Alpes" ], [ "Vivien", "Frédéric", "", "LIP, INRIA Rhône-Alpes" ] ]
0706.4039
Raphael Lamon
Raphael Lamon, Nicolas Produit, Frank Steiner
Study of Lorentz violation in INTEGRAL Gamma-Ray Bursts
14 pages, 4 figures
Gen.Rel.Grav.40:1731-1743,2008
10.1007/s10714-007-0580-6
null
gr-qc astro-ph hep-th
null
We search for possible time lags caused by quantum gravitational (QG) effects using gamma-ray bursts (GRBs) detected by INTEGRAL. The advantage of this satellite is that we have at our disposal the energy and arrival time of every detected single photon, which enhances the precision of the time resolution. We present a new method for seeking time lags in unbinned data using a maximum likelihood method and support our conclusions with Monte Carlo simulations. The analysis of the data yields a mass scale well below the Planck mass whose value may however increase if better statistics of GRBs were available. Furthermore, we disagree with previous studies in which a non-monotonic function of the redshift was used to perform a linear fit.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:55:24 GMT" }, { "version": "v2", "created": "Thu, 27 Sep 2007 09:01:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Lamon", "Raphael", "" ], [ "Produit", "Nicolas", "" ], [ "Steiner", "Frank", "" ] ]
0706.4040
George A. Levin
George A. Levin and Paul N. Barnes
Normal zone in $YBa_2Cu_3O_{6+x}$-coated conductors
8 pages, 4 figures
null
10.1088/0953-2048/20/12/003
null
cond-mat.supr-con cond-mat.mtrl-sci
null
We consider the distribution of an electric field in YBCO-coated conductors for a situation in which the DC transport current is forced into the copper stabilizer due to a weak link -- a section of the superconducting film with a critical current less than the transport current. The electric field in the metal substrate is also discussed. The results are compared with recent experiments on normal zone propagation in coated conductors for which the substrate and stabilizer are insulated from each other. The potential difference between the substrate and stabilizer, and the electric field in the substrate outside the normal zone can be accounted for by a large screening length in the substrate, comparable to the length of the sample. During a quench, the electric field inside the interface between YBCO and stabilizer, as well as in the buffer layer, can be several orders of magnitude greater than the longitudinal macroscopic electric field inside the normal zone. We speculate on the possibility of using possible microscopic electric discharges caused by this large ($\sim $kV/cm) electric field as a means to detect a quench.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:47:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Levin", "George A.", "" ], [ "Barnes", "Paul N.", "" ] ]
0706.4041
Gyu-Boong Jo
G.-B. Jo, J.-H. Choi, C.A. Christensen, Y.-R. Lee, T.A. Pasquini, W. Ketterle, and D.E. Pritchard
Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
4 pages, 5 figures, figures corrected
Phys. Rev. Lett. 99, 240406 (2007)
10.1103/PhysRevLett.99.240406
null
cond-mat.other
null
Elongated Bose-Einstein condensates (BECs) exhibit strong spatial phase fluctuations even well below the BEC transition temperature. We demonstrate that atom interferometers using such condensates are robust against phase fluctuations, i.e. the relative phase of the split condensate is reproducible despite axial phase fluctuations. However, larger phase fluctuations limit the coherence time, especially in the presence of some asymmetries in the two wells of the interferometer.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:47:56 GMT" }, { "version": "v2", "created": "Fri, 29 Jun 2007 00:53:46 GMT" }, { "version": "v3", "created": "Tue, 10 Jul 2007 13:51:58 GMT" } ]
2007-12-16T00:00:00
[ [ "Jo", "G. -B.", "" ], [ "Choi", "J. -H.", "" ], [ "Christensen", "C. A.", "" ], [ "Lee", "Y. -R.", "" ], [ "Pasquini", "T. A.", "" ], [ "Ketterle", "W.", "" ], [ "Pritchard", "D. E.", "" ] ]
0706.4042
Emmanuel Gobet
Emmanuel Gobet (LJK), St\'ephane Menozzi (PMA)
Stopped diffusion processes: boundary corrections and overshoot
39 pages
Stochastic Processes and their Applications 120 (2010) 130-162
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For a stopped diffusion process in a multidimensional time-dependent domain $\D$, we propose and analyse a new procedure consisting in simulating the process with an Euler scheme with step size $\Delta$ and stopping it at discrete times $(i\Delta)_{i\in\N^*}$ in a modified domain, whose boundary has been appropriately shifted. The shift is locally in the direction of the inward normal $n(t,x)$ at any point $(t,x)$ on the parabolic boundary of $\D$, and its amplitude is equal to $0.5826 (...) |n^*\sigma|(t,x)\sqrt \Delta$ where $\sigma$ stands for the diffusion coefficient of the process. The procedure is thus extremely easy to use. In addition, we prove that the rate of convergence w.r.t. $\Delta$ for the associated weak error is higher than without shifting, generalizin g previous results by \cite{broa:glas:kou:97} obtained for the one dimensional Brownian motion. For this, we establish in full generality the asymptotics of the triplet exit time/exit position/overshoot for the discretely stopped Euler scheme. Here, the overshoot means the distance to the boundary of the process when it exits the domain. Numerical experiments support these results.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:49:03 GMT" }, { "version": "v2", "created": "Thu, 18 Jun 2009 11:35:16 GMT" } ]
2010-04-22T00:00:00
[ [ "Gobet", "Emmanuel", "", "LJK" ], [ "Menozzi", "Stéphane", "", "PMA" ] ]
0706.4043
Mark D. Roberts
Mark D. Roberts
Frame Dependence in Scalar-tensor Theory
12 pages
null
null
null
gr-qc
null
Palatini variation of Jordan frame lagrangians gives an equation relating the dilaton to the object of non-metricity and hence the existence of the dilaton implies that the spacetime connection is more general than that given soley by the Christoffel symbol of general relativity. Transferring from Jordan to Einstein frame, which connection, lagrangian, field equations and stress conservation equations occur are discussed: it is found that the Jordan frame has more information, this can be expressed in several ways, the simplest is that the extra information corresponds to the function multiplying the Ricci scalar in the action. The Einstein frame has the advantages that stress conservation implies no currents and that the field equations are easier to work with. This is illustrated by application to Robertson-Walker spacetime.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 14:59:44 GMT" } ]
2007-06-28T00:00:00
[ [ "Roberts", "Mark D.", "" ] ]
0706.4044
Lutz Schr\"oder
Lutz Schr\"oder and Dirk Pattinson
PSPACE Bounds for Rank-1 Modal Logics
null
ACM Transactions on Computational Logic 10 (2:13), pp. 1-33, 2009
10.1145/1462179.1462185
Imperial College TR 2007/4
cs.LO cs.CC
null
For lack of general algorithmic methods that apply to wide classes of logics, establishing a complexity bound for a given modal logic is often a laborious task. The present work is a step towards a general theory of the complexity of modal logics. Our main result is that all rank-1 logics enjoy a shallow model property and thus are, under mild assumptions on the format of their axiomatisation, in PSPACE. This leads to a unified derivation of tight PSPACE-bounds for a number of logics including K, KD, coalition logic, graded modal logic, majority logic, and probabilistic modal logic. Our generic algorithm moreover finds tableau proofs that witness pleasant proof-theoretic properties including a weak subformula property. This generality is made possible by a coalgebraic semantics, which conveniently abstracts from the details of a given model class and thus allows covering a broad range of logics in a uniform way.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:15:57 GMT" } ]
2011-01-18T00:00:00
[ [ "Schröder", "Lutz", "" ], [ "Pattinson", "Dirk", "" ] ]
0706.4045
Vicentiu Radulescu
Mihai Mihailescu (UCV), Vicentiu Radulescu (IMAR)
Continuous spectrum for a class of nonhomogeneous differential operators
null
null
null
null
math.AP
null
We study the boundary value problem $-{\rm div}((|\nabla u|^{p_1(x)-2}+|\nabla u|^{p_2(x)-2})\nabla u)=\lambda|u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain in $\RR^N$ with smooth boundary, $\lambda$ is a positive real number, and the continuous functions $p_1$, $p_2$, and $q$ satisfy $1<p_2(x)<q(x)<p_1(x)<N$ and $\max_{y\in\bar\Omega}q(y)<\frac{N p_2(x)}{N-p_2(x)}$ for any $x\in\bar\Omega$. The main result of this paper establishes the existence of two positive constants $\lambda_0$ and $\lambda_1$ with $\lambda_0\leq\lambda_1$ such that any $\lambda\in[\lambda_1,\infty)$ is an eigenvalue, while any $\lambda\in(0,\lambda_0)$ is not an eigenvalue of the above problem.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:13:52 GMT" } ]
2007-06-28T00:00:00
[ [ "Mihailescu", "Mihai", "", "UCV" ], [ "Radulescu", "Vicentiu", "", "IMAR" ] ]
0706.4046
Kai Cai
Kai Cai, Richard H. Durisen, Aaron C. Boley, Megan K. Pickett, Annie C. Mejia
The Thermal Regulation of Gravitational Instabilities in Protoplanetary Disks. IV. Simulations with Envelope Irradiation
ApJ, in press (tentatively scheduled for Jan. 2008, v.673)
null
10.1086/524101
null
astro-ph
null
It is generally thought that protoplanetary disks embedded in envelopes are more massive and thus more susceptible to gravitational instabilities (GIs) than exposed disks. We present three-dimensional radiative hydrodynamics simulations of protoplanetary disks with the presence of envelope irradiation. For a disk with a radius of 40 AU and a mass of 0.07 Msun around a young star of 0.5 Msun, envelope irradiation tends to weaken and even suppress GIs as the irradiating flux is increased. The global mass transport induced by GIs is dominated by lower-order modes, and irradiation preferentially suppresses higher-order modes. As a result, gravitational torques and mass inflow rates are actually increased by mild irradiation. None of the simulations produce dense clumps or rapid cooling by convection, arguing against direct formation of giant planets by disk instability, at least in irradiated disks. However, dense gas rings and radial mass concentrations are produced, and these might be conducive to accelerated planetary core formation. Preliminary results from a simulation of a massive embedded disk with physical characteristics similar to one of the disks in the embedded source L1551 IRS5 indicate a long radiative cooling time and no fragmentation. The GIs in this disk are dominated by global two and three-armed modes.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:58:34 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 20:00:07 GMT" }, { "version": "v3", "created": "Wed, 17 Oct 2007 19:53:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Cai", "Kai", "" ], [ "Durisen", "Richard H.", "" ], [ "Boley", "Aaron C.", "" ], [ "Pickett", "Megan K.", "" ], [ "Mejia", "Annie C.", "" ] ]
0706.4047
Jean-Luc Garden
Jean-Luc Garden (NEEL)
Simple derivation of the frequency dependent complex heat capacity
null
Thermochimica Acta 460 (25/08/2007) 85-87
10.1016/j.tca.2007.05.010
null
cond-mat.other
null
This paper gives a simple derivation of the well-known expression of the frequency dependent complex heat capacity in modulated temperature experiments. It aims at clarified again that the generalized calorimetric susceptibility is only due to the non-equilibrium behaviour occurring in the vicinity of thermodynamic equilibrium of slow internal degrees of freedom of a sample when the temperature oscillates at a well determined frequency.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:20:35 GMT" } ]
2007-07-15T00:00:00
[ [ "Garden", "Jean-Luc", "", "NEEL" ] ]
0706.4048
Michael Noble S.
Michael S. Noble
Getting More From Your Multicore: Exploiting OpenMP From An Open Source Numerical Scripting Language
15 pages, 16 figures; working paper, in preparation
null
null
null
cs.DC astro-ph
null
We introduce SLIRP, a module generator for the S-Lang numerical scripting language, with a focus on its vectorization capabilities. We demonstrate how both SLIRP and S-Lang were easily adapted to exploit the inherent parallelism of high-level mathematical languages with OpenMP, allowing general users to employ tightly-coupled multiprocessors in scriptable research calculations while requiring no special knowledge of parallel programming. Motivated by examples in the ISIS astrophysical modeling & analysis tool, performance figures are presented for several machine and compiler configurations, demonstrating beneficial speedups for real-world operations.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:21:28 GMT" } ]
2007-06-28T00:00:00
[ [ "Noble", "Michael S.", "" ] ]
0706.4049
Wojciech Dybalski
Wojciech Dybalski
A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
20 pages, LaTeX. As appeared in Communications in Mathematical Physics
Commun.Math.Phys.283:523-542,2008
10.1007/s00220-008-0514-5
null
math-ph hep-th math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is shown that only one vacuum state can be prepared with a finite amount of energy and it appears, in particular, as a limit of physical states under large timelike translations in any theory which satisfies a phase space condition proposed in this work. This new criterion, related to the concept of additivity of energy over isolated subsystems, is verified in massive free field theory. The analysis entails very detailed results about the momentum transfer of local operators in this model.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:23:44 GMT" }, { "version": "v2", "created": "Wed, 29 Aug 2007 18:36:42 GMT" }, { "version": "v3", "created": "Mon, 7 Jul 2008 20:33:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Dybalski", "Wojciech", "" ] ]
0706.4050
Jean-Luc Garden
Jean-Luc Garden (NEEL), Jacques Richard (NEEL), H. Guillou (NEEL), O. Bourgeois (NEEL)
Non-equilibrium heat capacity of polytetrafluoroethylene at room temperature
null
null
null
null
cond-mat.soft
null
Polytetrafluoroethylene can be considered as a model for calorimetric studies of complex systems with thermodynamics transitions at ambient temperature. This polymer exhibits two phase transitions of different nature at 292 K and 303 K. We show that sensitive ac-calorimetry measurements allow us to study the thermodynamic behaviour of polytetrafluoroethylene when it is brought out of thermodynamic equilibrium. Thanks to the thermal modelisation of our calorimetric device, the frequency dependent complex heat capacity of this polymer is extracted. The temperature and frequency variations of the real and imaginary parts of the complex heat capacity are obtained when polytetrafluoroethylene undergoes its first-order structural phase transition at 292 K.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:24:09 GMT" } ]
2007-06-28T00:00:00
[ [ "Garden", "Jean-Luc", "", "NEEL" ], [ "Richard", "Jacques", "", "NEEL" ], [ "Guillou", "H.", "", "NEEL" ], [ "Bourgeois", "O.", "", "NEEL" ] ]
0706.4051
Andrei Dubin
A. Yu. Dubin
A novel renormalizable representation of the Yang-Mills theory
13 pages, no figures
null
null
null
hep-th
null
For a generic gauge-invariant correlator <{\cal Q}[A_{\mu}]>_{A}, we reformulate the standard D=4 Yang-Mills theory as a renormalizable system of two interacting fields a_{\mu} and B_{\mu} which faithfully represent high- and low-energy degrees of freedom of the single gauge field A_{\mu} in the original formulation. It opens a possibility to synthesize an infrared-nonsingular weak-coupling series, employed to integrate over a_{\mu} for a given background B_{\mu}, with qualitatively different methods. These methods are to be applied to evaluate the resulting (after the a_{\mu}-integration) representation of <{\cal Q}[A_{\mu}]>_{A} in terms of gauge-invariant generically non-local low-energy observables, like Wilson loops. The latter observables are averaged over B_{\mu} with respect to a gauge-invariant Wilsonean effective action S_{eff}[B]. To avoid a destructive dissipation between the high- and low-energy excitations, we implement a specific fine-tuning of the interaction between the pair of the fields: prior to the integration over B_{\mu}, the expectation value <a_{\mu}>_{a} vanishes, in the tree order of the loop-wise expansion, for an arbitrary configuration of B_{\mu}.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:24:11 GMT" } ]
2007-06-28T00:00:00
[ [ "Dubin", "A. Yu.", "" ] ]
0706.4052
C. P. Martin
C.P. Martin and C. Tamarit (Universidad Complutense de Madrid)
Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
7 pages
Phys.Lett.B658:170-173,2008
10.1016/j.physletb.2007.08.033
FTI/UCM 75-2007
hep-th
null
We consider noncommutative gauge theory defined by means of Seiberg-Witten maps for an arbitrary semisimple gauge group. We compute the one-loop UV divergent matter contributions to the gauge field effective action to all orders in the noncommutative parameters $\theta$. We do this for Dirac fermions and complex scalars carrying arbitrary representations of the gauge group. We use path-integral methods in the framework of dimensional regularisation and consider arbitrary invertible Seiberg-Witten maps that are linear in the matter fields. Surprisingly, it turns out that the UV divergent parts of the matter contributions are proportional to the noncommutative Yang-Mills action where traces are taken over the representation of the matter fields; this result supports the need to include such traces in the classical action of the gauge sector of the noncommutative theory.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:35:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Martin", "C. P.", "", "Universidad Complutense de Madrid" ], [ "Tamarit", "C.", "", "Universidad Complutense de Madrid" ] ]
0706.4053
Alejandro Kocsard
Alejandro Kocsard
Toward the classification of cohomology-free vector fields
70 pages, PhD thesis (IMPA, May 2007). Corrected typos
null
null
null
math.DS math.GT
null
In 1984, Anatole Katok conjectured that the only closed orientable manifolds that support cohomology-free vector fields are tori and these vector fields are smoothly conjugated to Diophantine (constant) ones. In this work we present a proof of Katok conjecture for 3-manifolds.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:37:38 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 23:08:26 GMT" } ]
2007-07-12T00:00:00
[ [ "Kocsard", "Alejandro", "" ] ]
0706.4054
Alexander Goncharov
A.B. Goncharov
The pentagon relation for the quantum dilogarithm and quantized M_{0,5}
12 pages. To appear in the Progress in Mathematics volume (Birkhauser) dedicated to the memory of Alexander Reznikov. The second version is hopefully the final one. It clarifies, corrects and expands the first one
null
null
null
math.QA math.FA
null
We introduce and study a Schwarz space S in the space of functions on the real line. It is a module over the algebra L of regular functions on the (modular double of the) non-commutative q-deformation of the moduli space of configurations of 5 cyclically ordered points on the projective line. The algebra L has an order five automorphism corresponding to the cyclic shift of the points. The quantum dilogarithm gives rise to an automorphism of the space Schwarz S intertwining the automorphism of L. This easily implies the pentagon relation for the quantum dilogarithm function. The triple (L, S, the automorphism) is the quantized moduli space of configurations of 5 points on the projective line. It is the simplest example of a quantized cluster X-variety.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:38:01 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 08:40:00 GMT" } ]
2007-07-25T00:00:00
[ [ "Goncharov", "A. B.", "" ] ]
0706.4055
Carlos Kenig
J.Colliander, A.D.Ionescu, C.E.Kenig and G.Staffilani
Weighted Low-Regularity Solutions of the KP-I Initial Value Problem
null
null
null
null
math.AP
null
In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are square integrable when multiplied by the weight y. The result is proved by the contraction mapping principle. A similar (but slightly weaker) result was the main Theorem in the paper " Low regularity solutions for the Kadomstev-Petviashvili I equation " by Colliander, Kenig and Staffilani (GAFA 13 (2003),737-794 and math.AP/0204244). Ionescu found a counterexample (included in the present paper) to the main estimate used in the GAFA paper, which renders incorrect the proof there. The present paper thus provides a correct proof of a strengthened version of the main result in the GAFA paper.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:48:38 GMT" } ]
2007-06-28T00:00:00
[ [ "Colliander", "J.", "" ], [ "Ionescu", "A. D.", "" ], [ "Kenig", "C. E.", "" ], [ "Staffilani", "G.", "" ] ]
0706.4056
Miron Amusia
M. Ya. Amusia (1, 2), A. S. Baltenkov (3) and L. V. Chernysheva (2) ((1)Hebrew University, Jerusalem, Israel; (2) Ioffe Physical-Technical Institute, St.-Petersburg, Russia (3) Arifov Institute of Electronics, Tashkent, Uzbekistan)
Photoionization of 3d electrons of Xe, Cs and Ba endohedral atoms: comparative analyses
26 pages, 15 figures
null
10.2478/s11534-008-0004-6
null
physics.atom-ph physics.atm-clus
null
We demonstrate rather interesting manifestations of co-existence of resonance features in characteristics of the photoionization of 3d-electrons in Xe, Cs and Ba endohedral atoms. It is shown that for all of the considered atoms the reflection by the fullerene shell of photoelectrons produced by the 3d subshell photoionization affects greatly partial photoionization cross-sections of 3d5/2 and 3d3/2 levels and respective angular anisotropy parameters, both dipole and non-dipole adding to all of them additional maximums and minimums. The results obtained demonstrate distinctive differences between the three atoms. The calculations are performed treating the 3/2 and 5/2 electrons as electrons of different kinds with their spins "up" and "down". The effect of C60 shell is accounted for in the frame of the "orange" skin potential model. It is essential that in the considered photon frequency region presented resonance features are not affected by the C60 polarization.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:48:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Amusia", "M. Ya.", "" ], [ "Baltenkov", "A. S.", "" ], [ "Chernysheva", "L. V.", "" ] ]
0706.4057
Piotr T. Chru\'sciel
Piotr T. Chru\'sciel and Paul Tod
An angular momentum bound at null infinity
null
null
null
null
gr-qc
null
We prove an inequality relating the trace of the extrinsic curvature, the total angular momentum, the centre of mass, and the Trautman-Bondi mass for a class of gravitational initial data sets with constant mean curvature extending to null infinity. As an application we obtain non-existence results for the asymptotic Dirichlet problem for CMC hypersurfaces in stationary space-times.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:49:39 GMT" } ]
2016-09-08T00:00:00
[ [ "Chruściel", "Piotr T.", "" ], [ "Tod", "Paul", "" ] ]
0706.4058
Stefan Thurner
Peter Klimek, Renaud Lambiotte, Stefan Thurner
Opinion Formation in Laggard Societies
5 pages, eps figs
null
10.1209/0295-5075/82/28008
null
physics.soc-ph
null
We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find a transition from total final consensus to a mixed phase where opinions coexist amongst the agents. The relevant parameters are the relative sizes in the initial opinion distribution within the population and the connectivity of the underlying network. As the order parameter we define the asymptotic state of opinions. In the phase diagram we find regions of total consensus and a mixed phase. As the 'laggard parameter' p_u increases the regions of consensus shrink. In addition we introduce rewiring of the underlying network during the opinion formation process and discuss the resulting consequences in the phase diagram.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:55:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Klimek", "Peter", "" ], [ "Lambiotte", "Renaud", "" ], [ "Thurner", "Stefan", "" ] ]
0706.4059
Evgueni Goudzovski
Evgueni Goudzovski
Precision study of K^\pm\to\pi^\pm\pi^0\pi^0 and K^\pm\to\pi^\pm\pi^+\pi^- Dalitz plot distributions by NA48/2
Talk given at Kaon'07 Conference, LNF, Frascati, Italy, 21--25 May, 2007. A version revised by PoS referee
PoSKAON:034,2008
null
null
hep-ex
null
The NA48/2 experiment at the CERN SPS has collected an unprecedented sample of $K^\pm\to3\pi$ decays. The high statistics and the good resolution of the detectors allow a unique investigation of the detailed phase space distributions of these decays. The effects of final state pion rescattering observed in the Dalitz plot distribution of the $K^\pm\to\pi^\pm\pi^0\pi^0$ decays turned out to be a powerful tool for extraction of the S-wave $\pi\pi$ scattering lengths. The large statistics also allowed a precise measurement of the Dalitz plot slope parameters for the $K^\pm\to3\pi^\pm$ decays.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 15:57:56 GMT" }, { "version": "v2", "created": "Sun, 29 Jul 2007 17:08:01 GMT" }, { "version": "v3", "created": "Sun, 16 Sep 2007 20:49:28 GMT" } ]
2009-04-16T00:00:00
[ [ "Goudzovski", "Evgueni", "" ] ]
0706.4060
Manuel Blickle
Manuel Blickle
Minimal $\gamma$--sheaves
17 pages
Algebra Number Theory 2 (2008), no. 3, 347-368
null
null
math.AG math.AC
null
In this note we show that finitely generated unit $O_X[\sigma]$--modules for $X$ regular and $F$--finite have a minimal root (in the sense of [Lyubeznik, F-modules] Definition~3.6). This problem was posed by Lyubeznik and answered by himself in the case that $X=\Spec R$ is a complete local ring. One immediate consequence of this result is that the parameter test module of tight closure theory commutes with localization. As a further application of the methods in this paper we give new proofs of the results on discreteness and rationality of $F$--thresholds [arXiv:0705.1210] and on $D$-module generation [arXiv:math/0502405v1]. The new proofs are valid in a slightly more general setting such that they also party cover the generalizations recently obtained in [arXiv:0706.3028].
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:01:36 GMT" } ]
2011-02-18T00:00:00
[ [ "Blickle", "Manuel", "" ] ]
0706.4061
Georges Comte
Georges Comte, Michel Merle
Equisingularite reelle : invariants locaux et conditions de regularite
49 pages, 1 figure
Ann. Sci. \'Ecole Norm. Sup., s\'erie 4, 41, fascicule 2 (2008), 221-269
null
null
math.DG math.MG
null
For germs of subanalytic sets, we define two finite sequences of new numerical invariants. The first one is obtained by localizing the classical Lipschitz-Killing curvatures, the second one is the real analogue of the evanescent characteristics introduced by M. Kashiwara. We show that each invariant of one sequence is a linear combination of the invariants of the other sequence. We then connect our invariants to the geometry of the discriminants of all dimension. Finally we prove that these invariants are continuous along Verdier strata of a closed subanalytic set.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:09:52 GMT" }, { "version": "v2", "created": "Thu, 13 Sep 2007 12:31:31 GMT" }, { "version": "v3", "created": "Tue, 30 Oct 2007 19:12:42 GMT" } ]
2011-11-15T00:00:00
[ [ "Comte", "Georges", "" ], [ "Merle", "Michel", "" ] ]
0706.4062
Felix Delgado
A. Campillo, F. Delgado, S.M. Gusein-Zade
Universal abelian covers of rational surface singularities and multi-index filtrations
null
null
null
null
math.AG
null
In previous papers, there were computed the Poincare series of some (multi-index) filtrations on the ring of germs of functions on a rational surface singularity. These Poincare series were written as the integer parts of certain fractional power series, an interpretation of whom was not given. Here we show that, up to a simple change of variables, these fractional power series are specializations of the equivariant Poincare series for filtrations on the ring of germs of functions on the universal abelian cover of the surface singularity. We compute these equivariant Poincare series.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:14:38 GMT" } ]
2007-06-28T00:00:00
[ [ "Campillo", "A.", "" ], [ "Delgado", "F.", "" ], [ "Gusein-Zade", "S. M.", "" ] ]
0706.4063
Zoltan Nagy
Zoltan Nagy
QCD and Monte Carlo generators
Plenary talk at 15th International Workshop on Deep Inelastic Scattering and Related Subjects (DIS 2007), Munich, Germany, 16-20 Apr 2007. 12 pages, 9 figures; added references
null
null
null
hep-ph
null
In this talk I gave a brief summary of leading order, next-to-leading order and shower calculations. I discussed the main ideas and approximations of the shower algorithms and the related matching schemes. I tried to focus on QCD issues and open questions instead of making a inventory of the existing programs.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:18:13 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 08:54:29 GMT" } ]
2007-06-28T00:00:00
[ [ "Nagy", "Zoltan", "" ] ]
0706.4064
Andrei Smilga
A.V. Smilga
Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
24 pages, 12 figures. Final version to be published in J.Phys. A
J.Phys.A41:244026,2008
10.1088/1751-8113/41/24/244026
null
quant-ph hep-th math-ph math.MP
null
We discuss the Hamiltonian H = p^2/2 - (ix)^{2n+1} and the mixed Hamiltonian H = (p^2 + x^2)/2 - g(ix)^{2n+1}, which are crypto-Hermitian in a sense that, in spite of apparent complexity of the potential, a quantum spectral problem can be formulated such that the spectrum is real. We note first that the corresponding classical Hamiltonian system can be treated as a gauge system, with imaginary part of the Hamiltonian playing the role of the first class constraint. We observe then that, on the basis of this classical problem, several different nontrivial quantum problems can be formulated. We formulate and solve some such problems. We find in particular that the spectrum of the mixed Hamiltonian undergoes in certain cases rather amazing transformation when the coupling g is sent to zero. There is an infinite set of phase transitions in g when a couple of eigenstates of H coalesce and disappear from the spectrum. When quantization is done in the most natural way such that gauge constraints are imposed on quantum states, the spectrum should not be positive definite, but must involve the negative energy states (ghosts). We speculate that, in spite of the appearance of ghost states, unitarity might still be preserved.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:34:50 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 13:56:13 GMT" }, { "version": "v3", "created": "Tue, 20 Nov 2007 16:10:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Smilga", "A. V.", "" ] ]
0706.4065
Vincenzo Vitale
J. Albert, et al (for the MAGIC collaboration)
Observation of VHE gamma-rays from Cassiopeia A with the MAGIC telescope
4 pages, 4 figures, submitted to A&A
Astron.Astrophys.474:937-940,2007
10.1051/0004-6361:20078168
null
astro-ph
null
We searched for very high energy (VHE) gamma-ray emission from the supernova remnant Cassiopeia A. The shell-type supernova remnant Cassiopeia A was observed with the 17 meter MAGIC telescope between July 2006 and January 2007 for a total time of 47 hours. The source was detected above an energy of 250 GeV with a significance of 5.2sigma and a photon flux above 1 TeV of (7.3+-0.7_stat+-2.2_sys)10^-13 cm^-2s^-1. The photon spectrum is compatible with a power law dN/dE = A E^-Gamma with a photon index Gamma=2.3+-0.2_stat+-0.2_sys. The source is point-like within the angular resolution of the telescope.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:28:31 GMT" }, { "version": "v2", "created": "Tue, 4 Dec 2007 16:11:27 GMT" } ]
2019-08-12T00:00:00
[ [ "Albert", "J.", "" ] ]
0706.4066
Yuri Sinyukov
Yu.M. Sinyukov, S.V. Akkelin, Iu.A. Karpenko
Pion spectra and HBT radii at RHIC and LHC
2 pages, 4 figures. Contributed to the Workshop on Heavy Ion Collisions at the LHC: Last Call for Predictions, Geneva, Switzerland, 14 May - 8 Jun 2007
null
null
null
nucl-th
null
We describe RHIC pion data in central A+A collisions and make predictions for LHC based on hydro-kinetic model, describing continuous 4D particle emission, and initial conditions taken from Color Glass Condensate (CGC) model.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:28:34 GMT" } ]
2007-06-28T00:00:00
[ [ "Sinyukov", "Yu. M.", "" ], [ "Akkelin", "S. V.", "" ], [ "Karpenko", "Iu. A.", "" ] ]
0706.4067
Indranil Chakrabarty ic
Indranil Chakrabarty
Partial Swapping, Unitarity and No-signalling
7 pages, no figures
EJTP 6, No. 21 119--124 (2009)
null
null
quant-ph
null
It is a well known fact that an quantum state $|\psi(\theta,\phi)>$ is represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. In a recent work we already proved that it is impossible to partially swap these quantum parameters. Here in this work we will show that this impossibility theorem is consistent with principles like unitarity of quantum mechanics and no signalling principle.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:31:17 GMT" } ]
2009-05-06T00:00:00
[ [ "Chakrabarty", "Indranil", "" ] ]
0706.4068
Arthur Chernin
A.D. Chernin, I.D. Karachentsev, P. Teerikorpi, M.J. Valtonen, G.G. Byrd, Yu.N. Efremov, V.P. Dolgachev, L.M. Domozhilova, D.I. Makarov, Yu.V. Baryshev
Detection of dark energy near the Local Group with the Hubble Space Telescope
11 pages, 1 figure
Grav.Cosmol.16:1-6,2010
10.1134/S0202289310010019
null
astro-ph
null
We report the detection of dark energy near the Milky Way made with precision observations of the local Hubble flow of expansion. We estimate the local density of dark energy and find that it is near, if not exactly equal to, the global dark energy density. The result is independent of, compatible with, and complementary to the horizon-scale observations in which dark energy was first discovered. Together with the cosmological concordance data, our result forms direct observational evidence for the Einstein antigravity as a universal phenomenon -- in the same sense as the Newtonian universal gravity.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:44:31 GMT" } ]
2010-03-19T00:00:00
[ [ "Chernin", "A. D.", "" ], [ "Karachentsev", "I. D.", "" ], [ "Teerikorpi", "P.", "" ], [ "Valtonen", "M. J.", "" ], [ "Byrd", "G. G.", "" ], [ "Efremov", "Yu. N.", "" ], [ "Dolgachev", "V. P.", "" ], [ "Domozhilova", "L. M.", "" ], [ "Makarov", "D. I.", "" ], [ "Baryshev", "Yu. V.", "" ] ]
0706.4069
Laurent Goergen
Laurent Goergen
An effective criterion and a new example for ballistic diffusions in random environment
Published in at http://dx.doi.org/10.1214/07-AOP354 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Probability 2008, Vol. 36, No. 3, 1093-1133
10.1214/07-AOP354
IMS-AOP-AOP354
math.PR
null
In the setting of multidimensional diffusions in random environment, we carry on the investigation of condition $(T')$, introduced by Sznitman [Ann. Probab. 29 (2001) 723--764] and by Schmitz [Ann. Inst. H. Poincar\'{e} Probab. Statist. 42 (2006) 683--714] respectively in the discrete and continuous setting, and which implies a law of large numbers with nonvanishing limiting velocity (ballistic behavior) as well as a central limit theorem. Specifically, we show that when $d\geq2$, $(T')$ is equivalent to an effective condition that can be checked by local inspection of the environment. When $d=1$, we prove that condition $(T')$ is merely equivalent to almost sure transience. As an application of the effective criterion, we show that when $d\geq4$ a perturbation of Brownian motion by a random drift of size at most $\epsilon>0$ whose projection on some direction has expectation bigger than $\epsilon^{2-\eta},\eta>0$, satisfies condition $(T')$ when $\epsilon$ is small and hence exhibits ballistic behavior. This class of diffusions contains new examples of ballistic behavior which in particular do not fulfill the condition in [Ann. Inst. H. Poincar\'{e} Probab. Statist. 42 (2006) 683--714], (5.4) therein, related to Kalikow's condition.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 16:45:41 GMT" }, { "version": "v2", "created": "Mon, 16 Jun 2008 05:45:08 GMT" } ]
2008-06-16T00:00:00
[ [ "Goergen", "Laurent", "" ] ]
0706.4070
Daniel Grumiller
M. Adak and D. Grumiller
Poisson-sigma model for 2D gravity with non-metricity
9 pages
Class.Quant.Grav.24:F65-F72,2007
10.1088/0264-9381/24/20/F01
MIT-CTP 3842
hep-th gr-qc math-ph math.MP
null
We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while the third one characterizes the local strength of non-metricity. As an example we show that alpha' corrections in 2D string theory can generate (target space) non-metricity.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 18:34:01 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 20:42:38 GMT" } ]
2010-11-02T00:00:00
[ [ "Adak", "M.", "" ], [ "Grumiller", "D.", "" ] ]
0706.4071
Alessandro Strumia
Marco Cirelli, Alessandro Strumia, Matteo Tamburini
Cosmology and Astrophysics of Minimal Dark Matter
24 pages, 10 figures; v2: typos corrected, to appear on NPB
Nucl.Phys.B787:152-175,2007
10.1016/j.nuclphysb.2007.07.023
IFUP-TH/2007-12, SACLAY-T07/052
hep-ph astro-ph
null
We consider DM that only couples to SM gauge bosons and fills one gauge multiplet, e.g. a fermion 5-plet (which is automatically stable), or a wino-like 3-plet. We revisit the computation of the cosmological relic abundance including non-perturbative corrections. The predicted mass of e.g. the 5-plet increases from 4.4 TeV to 10 TeV, and indirect detection rates are enhanced by 2 orders of magnitude. Next, we show that due to the quasi-degeneracy among neutral and charged components of the DM multiplet, a significant fraction of DM with energy E > 10^17 eV (possibly present among ultra-high energy cosmic rays) can cross the Earth exiting in the charged state and may in principle be detected in neutrino telescopes.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 18:06:15 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 07:22:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Cirelli", "Marco", "" ], [ "Strumia", "Alessandro", "" ], [ "Tamburini", "Matteo", "" ] ]
0706.4072
James Lepowsky
James Lepowsky
Some developments in vertex operator algebra theory, old and new
41 pages. To appear in proceedings of conference on Lie Algebras, Vertex Operator Algebras and Their Applications, North Carolina State University, 2005, Contemporary Math
null
null
null
math.QA hep-th math-ph math.MP math.RT
null
In this exposition, I discuss several developments in the theory of vertex operator algebras, and I include motivation for the definition.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:27:41 GMT" } ]
2007-06-28T00:00:00
[ [ "Lepowsky", "James", "" ] ]
0706.4073
Marko Robnik
S. Grossmann and M. Robnik
Some generic properties of level spacing distributions of 2D real random matrices
21 pages, no figures, submitted to Zeitschrift fuer Naturforschung A
null
10.1515/zna-2007-0902
CAMTP Preprint 5 April 2007
nlin.CD
null
We study the level spacing distribution $P(S)$ of 2D real random matrices both symmetric as well as general, non-symmetric. In the general case we restrict ourselves to Gaussian distributed matrix elements, but different widths of the various matrix elements are admitted. The following results are obtained: An explicit exact formula for $P(S)$ is derived and its behaviour close to S=0 is studied analytically, showing that there is linear level repulsion, unless there are additional constraints for the probability distribution of the matrix elements. The constraint of having only positive or only negative but otherwise arbitrary non-diagonal elements leads to quadratic level repulsion with logarithmic corrections. These findings detail and extend our previous results already published in a preceding paper. For the {\em symmetric} real 2D matrices also other, non-Gaussian statistical distributions are considered. In this case we show for arbitrary statistical distribution of the diagonal and non-diagonal elements that the level repulsion exponent $\rho$ is always $\rho = 1$, provided the distribution function of the matrix elements is regular at zero value. If the distribution function of the matrix elements is a singular (but still integrable) power law near zero value of $S$, the level spacing distribution $P(S)$ is a fractional exponent pawer law at small $S$. The tail of $P(S)$ depends on further details of the matrix element statistics. We explicitly work out four cases: the constant (box) distribution, the Cauchy-Lorentz distribution, the exponential distribution and, as an example for a singular distribution, the power law distribution for $P(S)$ near zero value times an exponential tail.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 17:03:36 GMT" } ]
2015-05-13T00:00:00
[ [ "Grossmann", "S.", "" ], [ "Robnik", "M.", "" ] ]
0706.4074
Elliott Cheu
KTeV Collaboration: E. Abouzaid, M. Arenton, A.R. Barker, L. Bellantoni, E. Blucher, G.J. Bock, E. Cheu, R. Coleman, B. Cox, A.R. Erwin, C.O. Escobar, A. Glazov, A. Golossanov, R.A. Gomes, P. Gouffon, Y.B. Hsiung, D.A. Jensen, R. Kessler, Y.J. Kim, K. Kotera, A. Ledovskoy, P.L. McBride, E. Monnier, K.S. Nelson, H. Nguyen, R. Niclasen, D.G. Phillips II, H. Ping, E.J. Ramberg, R.E. Ray, M. Ronquest, E. Santos, W. Slater, D. Smith, N. Solomey, E.C. Swallow, P.A. Toale, R. Tschirhart, C. Velissaris, Y.W. Wah, J. Wang, H.B. White, J. Whitmore, M. J. Wilking, R. Winston, E.T. Worcester, M. Worcester, T. Yamanaka, E. D. Zimmerman, R.F. Zukanovich
Measurement of the Decay KL -> pi0 e+ e- gamma
6 pages, 7 figures, Submitted to Phys. Rev. D
Phys.Rev.D76:052001,2007
10.1103/PhysRevD.76.052001
null
hep-ex
null
We report on a new measurement of the branching ratio B(KL -> pi0 e+ e- gamma) using the KTeV detector. This analysis uses the full KTeV data set collected from 1997 to 2000. We reconstruct 139 events over a background of 14, which results in B(KL -> pi0 e+ e- gamma) = (1.62 +/- 0.14 (stat) +/- 0.09 (syst)) x 10^{-8}. This result supersedes the earlier KTeV measurement of this branching ratio.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 17:04:40 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 16:18:52 GMT" } ]
2008-11-26T00:00:00
[ [ "KTeV Collaboration", "", "" ], [ "Abouzaid", "E.", "" ], [ "Arenton", "M.", "" ], [ "Barker", "A. R.", "" ], [ "Bellantoni", "L.", "" ], [ "Blucher", "E.", "" ], [ "Bock", "G. J.", "" ], [ "Cheu", "E.", "" ], [ "Coleman", "R.", "" ], [ "Cox", "B.", "" ], [ "Erwin", "A. R.", "" ], [ "Escobar", "C. O.", "" ], [ "Glazov", "A.", "" ], [ "Golossanov", "A.", "" ], [ "Gomes", "R. A.", "" ], [ "Gouffon", "P.", "" ], [ "Hsiung", "Y. B.", "" ], [ "Jensen", "D. A.", "" ], [ "Kessler", "R.", "" ], [ "Kim", "Y. J.", "" ], [ "Kotera", "K.", "" ], [ "Ledovskoy", "A.", "" ], [ "McBride", "P. L.", "" ], [ "Monnier", "E.", "" ], [ "Nelson", "K. S.", "" ], [ "Nguyen", "H.", "" ], [ "Niclasen", "R.", "" ], [ "Phillips", "D. G.", "II" ], [ "Ping", "H.", "" ], [ "Ramberg", "E. J.", "" ], [ "Ray", "R. E.", "" ], [ "Ronquest", "M.", "" ], [ "Santos", "E.", "" ], [ "Slater", "W.", "" ], [ "Smith", "D.", "" ], [ "Solomey", "N.", "" ], [ "Swallow", "E. C.", "" ], [ "Toale", "P. A.", "" ], [ "Tschirhart", "R.", "" ], [ "Velissaris", "C.", "" ], [ "Wah", "Y. W.", "" ], [ "Wang", "J.", "" ], [ "White", "H. B.", "" ], [ "Whitmore", "J.", "" ], [ "Wilking", "M. J.", "" ], [ "Winston", "R.", "" ], [ "Worcester", "E. T.", "" ], [ "Worcester", "M.", "" ], [ "Yamanaka", "T.", "" ], [ "Zimmerman", "E. D.", "" ], [ "Zukanovich", "R. F.", "" ] ]
0706.4075
Ken Wharton
K.B. Wharton
A novel interpretation of the Klein-Gordon equation
v3: Extensively revised version accepted for publication by Found. Phys
AIP Conf.Proc.962:339-343,2007; Found.Phys.40:313-332,2010
10.1063/1.2827330 10.1007/s10701-009-9398-2
null
quant-ph gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The covariant Klein-Gordon equation requires twice the boundary conditions of the Schrodinger equation and does not have an accepted single-particle interpretation. Instead of interpreting its solution as a probability wave determined by an initial boundary condition, this paper considers the possibility that the solutions are determined by both an initial and a final boundary condition. By constructing an invariant joint probability distribution from the size of the solution space, it is shown that the usual measurement probabilities can nearly be recovered in the non-relativistic limit, provided that neither boundary constrains the energy to a precision near hbar/T (where T is the time duration between the boundary conditions). Otherwise, deviations from standard quantum mechanics are predicted.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 18:27:00 GMT" }, { "version": "v2", "created": "Wed, 12 Mar 2008 18:31:57 GMT" }, { "version": "v3", "created": "Fri, 11 Dec 2009 18:10:05 GMT" } ]
2014-11-18T00:00:00
[ [ "Wharton", "K. B.", "" ] ]
0706.4076
Amelia Sparavigna
A. Sparavigna
Phonons in lattices with rod-like particles
16 pages, 9 figures
null
null
null
cond-mat.mtrl-sci
null
The paper studies the modes of vibrations of a lattice with rod-like particles, in a continuum model where the sites of the lattice are the connections among strings and rigid rods. In these structures then, translational and rotational degrees of freedom are strongly coupled. We will discuss in particular two-dimensional lattices with auxetic-like behaviour. Auxetics are materials with a negative Poisson elastic parameter, meaning that they have a lateral extension, instead to shrink, when they are stretched. We assume as "auxetic-like" two-dimensional structures, structures which do not collapse, when stretched in one of the in-plane directions. The presence of rigid rod-like particles in the lattice prevents the shrinking of the membrane. Complete bandgaps between acoustic and optical modes are observed in analogy with the behaviour of crystalline materials.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 17:40:50 GMT" } ]
2007-06-28T00:00:00
[ [ "Sparavigna", "A.", "" ] ]
0706.4077
William Bryan
W. A. Bryan, E. M. L. English, J. McKenna, J. Wood, C. R. Calvert, R. Torres, I. C. E. Turcu, J. L. Collier, I. D. Williams and W. R. Newell
Mapping the Evolution of Optically-Generated Rotational Wavepackets in a Room Temperature Ensemble of D$_2$
4 pages, 3 figures. Accepted for publication in Phys. Rev. A. Full reference to follow..
Phys. Rev. A 76, 023414 (2007)
10.1103/PhysRevA.76.023414
null
quant-ph physics.atom-ph physics.chem-ph
null
A coherent superposition of rotational states in D$_2$ has been excited by nonresonant ultrafast (12 femtosecond) intense (2 $\times$ 10$^{14}$ Wcm$^{-2}$) 800 nm laser pulses leading to impulsive dynamic alignment. Field-free evolution of this rotational wavepacket has been mapped to high temporal resolution by a time-delayed pulse, initiating rapid double ionization, which is highly sensitive to the angle of orientation of the molecular axis with respect to the polarization direction, $\theta$. The detailed fractional revivals of the neutral D$_2$ wavepacket as a function of $\theta$ and evolution time have been observed and modelled theoretically.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 17:52:58 GMT" } ]
2007-11-06T00:00:00
[ [ "Bryan", "W. A.", "" ], [ "English", "E. M. L.", "" ], [ "McKenna", "J.", "" ], [ "Wood", "J.", "" ], [ "Calvert", "C. R.", "" ], [ "Torres", "R.", "" ], [ "Turcu", "I. C. E.", "" ], [ "Collier", "J. L.", "" ], [ "Williams", "I. D.", "" ], [ "Newell", "W. R.", "" ] ]
0706.4078
Wegrzyn Pawel
Pawel Wegrzyn
Exact closed form analytical solutions for vibrating cavities
17 pages, 7 figures
J. Phys. B: At. Mol. Opt. Phys. 40, 2621-2640 (2007)
10.1088/0953-4075/40/13/008
null
quant-ph
null
For one-dimensional vibrating cavity systems appearing in the standard illustration of the dynamical Casimir effect, we propose an approach to the construction of exact closed-form solutions. As new results, we obtain solutions that are given for arbitrary frequencies, amplitudes and time regions. In a broad range of parameters, a vibrating cavity model exhibits the general property of exponential instability. Marginal behavior of the system manifests in a power-like growth of radiated energy.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:08:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Wegrzyn", "Pawel", "" ] ]
0706.4079
Evelina Shamarova
Evelina Shamarova
Chernoff's theorem for evolution families
null
null
null
null
math.FA math.PR
null
A generalized version of Chernoff's theorem has been obtained. Namely, the version of Chernoff's theorem for semigroups obtained in a paper by Smolyanov, Weizsaecker, and Wittich is generalized for a time-inhomogeneous case. The main theorem obtained in the current paper, Chernoff's theorem for evolution families, deals with a family of time-dependent generators of semigroups $A_t$ on a Banach space, a two-parameter family of operators $Q_{t,t+\Delta t}$ satisfying the relation: $\frac{\partial}{\partial \Delta t}Q_{t,t+\Delta t}|_{\Delta t = 0}=A_t$, whose products $Q_{t_i,t_{i+1}}... Q_{t_{k-1},t_k}$ are uniformly bounded for all subpartitions $s = t_0 < t_1 < >... < t_n = t$. The theorem states that $Q_{t_0,t_1}... Q_{t_{n-1},t_n}$ converges to an evolution family $U(s,t)$ solving a non-autonomous Cauchy problem. Furthermore, the theorem is formulated for a particular case when the generators $A_t$ are time dependent second order differential operators. Finally, an example of application of this theorem to a construction of time-inhomogeneous diffusions on a compact Riemannian manifold is given. Keywords: Chernoff's theorem, evolution family, strongly continuous semigroup, evolution families generated by manifold valued stochastic processes.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:16:24 GMT" } ]
2007-06-28T00:00:00
[ [ "Shamarova", "Evelina", "" ] ]
0706.4080
Paola Testa
Paola Testa (MIT), Jeremy J. Drake (SAO), Giovanni Peres (Universita' di Palermo), David P. Huenemoerder (MIT)
On X-ray Optical Depth in the Coronae of Active Stars
Accepted for publication on the Astrophysical Journal
Astrophys.J.665:1349-1360,2007
10.1086/519920
null
astro-ph
null
We have investigated the optical thickness of the coronal plasma through the analysis of high-resolution X-ray spectra of a large sample of active stars observed with the High Energy Transmission Grating Spectrometer on Chandra. In particular, we probed for the presence of significant resonant scattering in the strong Lyman series lines arising from hydrogen-like oxygen and neon ions. The active RS CVn-type binaries II Peg and IM Peg and the single M dwarf EV Lac show significant optical depth. For these active coronae, the Lya/Lyb ratios are significantly depleted as compared with theoretical predictions and with the same ratios observed in similar active stars. Interpreting these decrements in terms of resonance scattering of line photons out of the line-of-sight, we are able to derive an estimate for the typical size of coronal structures, and from these we also derive estimates of coronal filling factors. For all three sources we find that the both the photon path length as a fraction of the stellar radius, and the implied surface filling factors are very small and amount to a few percent at most. The measured Lya/Lyb ratios are in good agreement with APED theoretical predictions, thus indicating negligible optical depth, for the other sources in our sample. We discuss the implications for coronal structuring and heating flux requirements. For the stellar sample as a whole, the data suggest increasing quenching of Lya relative to Lyb as function of both L_x/L_bol and the density-sensitive MgXI forbidden to intercombination line ratio, as might generally be expected.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:17:59 GMT" } ]
2009-06-23T00:00:00
[ [ "Testa", "Paola", "", "MIT" ], [ "Drake", "Jeremy J.", "", "SAO" ], [ "Peres", "Giovanni", "", "Universita'\n di Palermo" ], [ "Huenemoerder", "David P.", "", "MIT" ] ]
0706.4081
Jon F. Carlson
Jon F. Carlson and Jacques Thevenaz
The classification of torsion endo-trivial modules
61 pages, published version
Ann. of Math. (2) 162 (2005), no. 2, 823--883
null
null
math.GR
null
This paper is a major step in the classification of endotrivial modules over p-groups. Let G be a finite p-group and k be a field of characteristic p. A kG-module M is an endo-trivial module if {\End_k(M)\cong k\oplus F} as kG-modules, where F is a free module. The classification of endo-trivial modules is the crucial step for understanding the more general class of endo-permutation modules. The endo-permutation modules play an important role in module theory, in particular as source modules, and in block theory where they appear in the description of source algebras. Endo-trivial modules are also important in the study of both derived equivalences and stable equivalences of group algebras and block algebras. The collection of isomorphism classes of endo-trivial modules modulo projectives is an abelian group under tensor product. The main result of this paper is that this group is torsion free except in the case that G is cyclic, quaternion or semi-dihedral. Hence for any p-group which is not cyclic, quaternion or semi-dihedral and any finitely generated kG-module M, if M \otimes_k M \otimes_k ... \otimes_k M \cong k \oplus P for some projective module P and some finite number of tensor products, then M \cong k \oplus Q for some projective module Q. The proof uses a reduction to the cases in which G is an extraspecial or almost extraspecial p-group, proved in a previous paper of the authors, and makes extensive use of the theory of support varieties for modules.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:19:13 GMT" } ]
2007-06-28T00:00:00
[ [ "Carlson", "Jon F.", "" ], [ "Thevenaz", "Jacques", "" ] ]
0706.4082
Jon Wilkening
Jon Wilkening
Inf-sup estimates for the Stokes problem in a periodic channel
18 pages, 4 figures
null
null
null
math.AP math.FA
null
We derive estimates of the Babu\u{s}ka-Brezzi inf-sup constant $\beta$ for two-dimensional incompressible flow in a periodic channel with one flat boundary and the other given by a periodic, Lipschitz continuous function $h$. If $h$ is a constant function (so the domain is rectangular), we show that periodicity in one direction but not the other leads to an interesting connection between $\beta$ and the unitary operator mapping the Fourier sine coefficients of a function to its Fourier cosine coefficients. We exploit this connection to determine the dependence of $\beta$ on the aspect ratio of the rectangle. We then show how to transfer this result to the case that $h$ is $C^{1,1}$ or even $C^{0,1}$ by a change of variables. We avoid non-constructive theorems of functional analysis in order to explicitly exhibit the dependence of $\beta$ on features of the geometry such as the aspect ratio, the maximum slope, and the minimum gap thickness (if $h$ passes near the substrate). We give an example to show that our estimates are optimal in their dependence on the minimum gap thickness in the $C^{1,1}$ case, and nearly optimal in the Lipschitz case.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:19:13 GMT" } ]
2007-06-28T00:00:00
[ [ "Wilkening", "Jon", "" ] ]
0706.4083
Jose Eduardo Costa Dr.
J. E. S. Costa, E. Michel, J. Pena, O. Creevey, Z. P. Li, M. Chevreton, J. A. Belmonte, M. Alvarez, L. Fox Machado, L. Parrao, F. Perez Hernendez, A. Fernandez, J. R. Fremy, S. Pau, R. Alonso
Pulsational frequencies of the eclipsing delta-Scuti star HD 172189
6 pages, 7 figures
Astron.Astrophys.468:637-642,2007
10.1051/0004-6361:20065784
null
astro-ph
null
The eclipsing delta-Scuti star HD 172189 is a probable member of the open cluster IC 4756 and a promising candidate target for the CoRoT mission. The detection of pulsation modes is the first step in the asteroseismological study of the star. Further, the calculation of the orbital parameters of the binary system allows us to make a dynamical determination of the mass of the star, which works as an important constraint to test and calibrate the asteroseismological models. From a detailed frequency analysis of 210 hours of photometric data of HD 172189 obtained from the STEPHI XIII campaign we have identified six pulsation frequencies with a confidence level of 99% and a seventh with a 65% confidence level in the range between 100-300 uHz. In addiction, three eclipses were observed during the campaign, allowing us to improve the determination of the orbital period of the system.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:38:59 GMT" } ]
2009-06-23T00:00:00
[ [ "Costa", "J. E. S.", "" ], [ "Michel", "E.", "" ], [ "Pena", "J.", "" ], [ "Creevey", "O.", "" ], [ "Li", "Z. P.", "" ], [ "Chevreton", "M.", "" ], [ "Belmonte", "J. A.", "" ], [ "Alvarez", "M.", "" ], [ "Machado", "L. Fox", "" ], [ "Parrao", "L.", "" ], [ "Hernendez", "F. Perez", "" ], [ "Fernandez", "A.", "" ], [ "Fremy", "J. R.", "" ], [ "Pau", "S.", "" ], [ "Alonso", "R.", "" ] ]
0706.4084
Hasan Yuksel
Hasan Yuksel, John F. Beacom (Ohio State U.), Casey R. Watson (Millikin U.)
Strong Upper Limits on Sterile Neutrino Warm Dark Matter
4 pages, 2 figures; minor revisions, accepted for publication in Physical Review Letters
Phys.Rev.Lett.101:121301,2008
10.1103/PhysRevLett.101.121301
null
astro-ph hep-ph nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sterile neutrinos are attractive dark matter candidates. Their parameter space of mass and mixing angle has not yet been fully tested despite intensive efforts that exploit their gravitational clustering properties and radiative decays. We use the limits on gamma-ray line emission from the Galactic Center region obtained with the SPI spectrometer on the INTEGRAL satellite to set new constraints, which improve on the earlier bounds on mixing by more than two orders of magnitude, and thus strongly restrict a wide and interesting range of models.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:54:41 GMT" }, { "version": "v2", "created": "Fri, 5 Sep 2008 19:13:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Yuksel", "Hasan", "", "Ohio State U." ], [ "Beacom", "John F.", "", "Ohio State U." ], [ "Watson", "Casey R.", "", "Millikin U." ] ]
0706.4085
Yoram Alhassid
Y. Alhassid, G.F. Bertsch, L. Fang
A new effective interaction for the trapped Fermi gas
4 pages, 3 figures
Phys. Rev. Lett. 100, 230401 (2008)
10.1103/PhysRevLett.100.230401
null
cond-mat.other nucl-th physics.atom-ph
null
We apply the configuration-interaction method to calculate the spectra of two-component Fermi systems in a harmonic trap, studying the convergence of the method at the unitary interaction limit. We find that for a fixed regularization of the two-body interaction the convergence is exponential or better in the truncation parameter of the many-body space. However, the conventional regularization is found to have poor convergence in the regularization parameter, with an error that scales as a low negative power of this parameter. We propose a new regularization of the two-body interaction that produces exponential convergence for systems of three and four particles. From the systematics, we estimate the ground-state energy of the four-particle system to be (5.05 +- 0.024)hbar omega.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:52:25 GMT" } ]
2015-05-13T00:00:00
[ [ "Alhassid", "Y.", "" ], [ "Bertsch", "G. F.", "" ], [ "Fang", "L.", "" ] ]
0706.4086
Winfried Zimdahl
R. Colistete Jr., J.C. Fabris, J. Tossa and W. Zimdahl
Bulk Viscous Cosmology
25 pages, 5 figures, comments and references added, accepted for publication in PRD
Phys.Rev.D76:103516,2007
10.1103/PhysRevD.76.103516
null
astro-ph gr-qc hep-th
null
We propose a scenario in which the dark components of the Universe are manifestations of a single bulk viscous fluid. Using dynamical system methods, a qualitative study of the homogeneous, isotropic background scenario is performed in order to determine the phase space of all possible solutions. The specific model which we investigate shares similarities with a generalized Chaplygin gas in the background but is characterized by non-adiabatic pressure perturbations. This model is tested against supernova type Ia and matter power spectrum data. Different from other unified descriptions of dark matter and dark energy, the matter power spectrum is well behaved, i.e., there are no instabilities or oscillations on small perturbation scales. The model is competitive in comparison with the currently most popular proposals for the description of the cosmological dark sector.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:51:45 GMT" }, { "version": "v2", "created": "Wed, 19 Sep 2007 07:53:48 GMT" } ]
2008-12-18T00:00:00
[ [ "Colistete", "R.", "Jr." ], [ "Fabris", "J. C.", "" ], [ "Tossa", "J.", "" ], [ "Zimdahl", "W.", "" ] ]
0706.4087
Samvel Ter-Antonyan V
S. V. Ter-Antonyan
Mutually compensative pseudo solutions of primary energy spectra in the knee region
Accepted for publication in Astroparticle Physics
Astropart.Phys.28:321-326,2007
10.1016/j.astropartphys.2007.06.004
null
astro-ph
null
The problem of the uniqueness of solutions during the evaluation of primary energy spectra in the knee region using an extensive air shower (EAS) data set and the EAS inverse approach is investigated. It is shown that the unfolding of primary energy spectra in the knee region leads to mutually compensative pseudo solutions. These solutions may be the reason for the observed disagreements in the elementary energy spectra of cosmic rays in the 1-100 PeV energy range obtained from different experiments.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 19:55:27 GMT" } ]
2009-06-23T00:00:00
[ [ "Ter-Antonyan", "S. V.", "" ] ]
0706.4088
Jos\'e Prieto
J.L. Prieto, P.M. Garnavich, M.M. Phillips, D.L. DePoy, J.Parrent, D. Pooley, V.V. Dwarkadas, E. Baron, B. Bassett, A. Becker, D. Cinabro, F. DeJongh, B. Dilday, M. Doi, J.A. Frieman, C.J. Hogan, J. Holtzman, S. Jha, R. Kessler, K. Konishi, H. Lampeitl, J. Marriner, J. L. Marshall, G. Miknaitis, R.C. Nichol, A.G. Riess, M.W. Richmond, R. Romani, M. Sako, D.P. Schneider, M. Smith, N. Takanashi, K. Tokita, K. van der Heyden, N. Yasuda, C. Zheng, J.C. Wheeler, J. Barentine, J. Dembicky, J. Eastman, S. Frank, W. Ketzeback, R.J. McMillan, N. Morrell, G. Folatelli, C. Contreras, C.R. Burns, W. L. Freedman, S. Gonzalez, M. Hamuy, W. Krzeminski, B.F. Madore, D. Murphy, S.E. Persson, M. Roth, N.B. Suntzeff
A Study of the Type Ia/IIn Supernova 2005gj from X-ray to the Infrared: Paper I
63 pages, 16 figures, submitted to AJ
null
null
null
astro-ph
null
We present extensive ugrizYHJK photometry and optical spectroscopy of SN 2005gj obtained by the SDSS-II and CSP Supernova Projects, which give excellent coverage during the first 150 days after the time of explosion. These data show that SN 2005gj is the second clear case, after SN 2002ic, of a thermonuclear explosion in a dense circumstellar environment. Both the presence of singly and doubly ionized iron-peak elements (FeIII and weak SII, SiII) near maximum light as well as the spectral evolution show that SN 2002ic-like events are Type Ia explosions. Independent evidence comes from the exponential decay in luminosity of SN 2005gj, pointing to an exponential density distribution of the ejecta. The interaction of the supernova ejecta with the dense circumstellar medium is stronger than in SN 2002ic: (1) the supernova lines are weaker; (2) the Balmer emission lines are more luminous; and (3) the bolometric luminosity is higher close to maximum light. The velocity evolution of the Halpha components suggest that the CSM around SN 2005gj is clumpy and it has a flatter density distribution compared with the steady wind solution, in agreement with SN 2002ic. An early X-ray observation with Chandra gives an upper-limit on the mass loss rate from the companion of < 2x10^{-4} Msun/yr.
[ { "version": "v1", "created": "Thu, 28 Jun 2007 18:31:46 GMT" } ]
2007-06-29T00:00:00
[ [ "Prieto", "J. L.", "" ], [ "Garnavich", "P. M.", "" ], [ "Phillips", "M. M.", "" ], [ "DePoy", "D. L.", "" ], [ "Parrent", "J.", "" ], [ "Pooley", "D.", "" ], [ "Dwarkadas", "V. V.", "" ], [ "Baron", "E.", "" ], [ "Bassett", "B.", "" ], [ "Becker", "A.", "" ], [ "Cinabro", "D.", "" ], [ "DeJongh", "F.", "" ], [ "Dilday", "B.", "" ], [ "Doi", "M.", "" ], [ "Frieman", "J. A.", "" ], [ "Hogan", "C. J.", "" ], [ "Holtzman", "J.", "" ], [ "Jha", "S.", "" ], [ "Kessler", "R.", "" ], [ "Konishi", "K.", "" ], [ "Lampeitl", "H.", "" ], [ "Marriner", "J.", "" ], [ "Marshall", "J. L.", "" ], [ "Miknaitis", "G.", "" ], [ "Nichol", "R. C.", "" ], [ "Riess", "A. G.", "" ], [ "Richmond", "M. W.", "" ], [ "Romani", "R.", "" ], [ "Sako", "M.", "" ], [ "Schneider", "D. P.", "" ], [ "Smith", "M.", "" ], [ "Takanashi", "N.", "" ], [ "Tokita", "K.", "" ], [ "van der Heyden", "K.", "" ], [ "Yasuda", "N.", "" ], [ "Zheng", "C.", "" ], [ "Wheeler", "J. C.", "" ], [ "Barentine", "J.", "" ], [ "Dembicky", "J.", "" ], [ "Eastman", "J.", "" ], [ "Frank", "S.", "" ], [ "Ketzeback", "W.", "" ], [ "McMillan", "R. J.", "" ], [ "Morrell", "N.", "" ], [ "Folatelli", "G.", "" ], [ "Contreras", "C.", "" ], [ "Burns", "C. R.", "" ], [ "Freedman", "W. L.", "" ], [ "Gonzalez", "S.", "" ], [ "Hamuy", "M.", "" ], [ "Krzeminski", "W.", "" ], [ "Madore", "B. F.", "" ], [ "Murphy", "D.", "" ], [ "Persson", "S. E.", "" ], [ "Roth", "M.", "" ], [ "Suntzeff", "N. B.", "" ] ]
0706.4089
Michael Cooper
Michael C. Cooper, Jeffrey A. Newman, Benjamin J. Weiner, Renbin Yan, Christopher N. A. Willmer, Kevin Bundy, Alison L. Coil, Christopher J. Conselice, Marc Davis, S. M. Faber, Brian F. Gerke, Puragra Guhathakurta, David C. Koo, Kai G. Noeske
The DEEP2 Galaxy Redshift Survey: The Role of Galaxy Environment in the Cosmic Star-Formation History
20 pages including 18 figures and 4 tables in emulateapj format; submitted to MNRAS
null
10.1111/j.1365-2966.2007.12613.x
null
astro-ph
null
Using galaxy samples drawn from the Sloan Digital Sky Survey and the DEEP2 Galaxy Redshift Survey, we study the relationship between star formation and environment at z ~ 0.1 and z ~ 1. We estimate the total star-formation rate (SFR) and specific star-formation rate (sSFR) for each galaxy according to the measured [O II] nebular line luminosity, corrected using empirical calibrations to match more robust SFR indicators. Echoing previous results, we find that in the local Universe star formation depends on environment such that galaxies in regions of higher overdensity, on average, have lower star-formation rates and longer star-formation timescales than their counterparts in lower-density regions. At z ~ 1, we show that the relationship between specific SFR and environment mirrors that found locally. However, we discover that the relationship between total SFR and overdensity at z ~ 1 is inverted relative to the local relation. This observed evolution in the SFR-density relation is driven, in part, by a population of bright, blue galaxies in dense environments at z ~ 1. This population, which lacks a counterpart at z ~ 0, is thought to evolve into members of the red sequence from z ~ 1 to z ~ 0. Finally, we conclude that environment does not play a dominant role in the cosmic star-formation history at z < 1: the dependence of the mean galaxy SFR on local galaxy density at constant redshift is small compared to the decline in the global SFR space density over the last 7 Gyr.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:00:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Cooper", "Michael C.", "" ], [ "Newman", "Jeffrey A.", "" ], [ "Weiner", "Benjamin J.", "" ], [ "Yan", "Renbin", "" ], [ "Willmer", "Christopher N. A.", "" ], [ "Bundy", "Kevin", "" ], [ "Coil", "Alison L.", "" ], [ "Conselice", "Christopher J.", "" ], [ "Davis", "Marc", "" ], [ "Faber", "S. M.", "" ], [ "Gerke", "Brian F.", "" ], [ "Guhathakurta", "Puragra", "" ], [ "Koo", "David C.", "" ], [ "Noeske", "Kai G.", "" ] ]
0706.4090
Teet Ord
N.Voropajeva, T.Ord
Correlation in the velocity of a Brownian particle induced by frictional anisotropy and magnetic field
7 pages, 2 figures
null
10.1016/j.physleta.2007.10.098
null
cond-mat.stat-mech
null
We study the motion of charged Brownian particles in an external magnetic field. It is found that a correlation appears between the components of particle velocity in the case of anisotropic friction, approaching asymptotically zero in the stationary limit. If magnetic field is smaller compared to the critical value, determined by frictional anisotropy, the relaxation of the correlation is non-oscillating in time. However, in a larger magnetic field this relaxation becomes oscillating. The phenomenon is related to the statistical dependence of the components of transformed random force caused by the simultaneous influence of magnetic field and anisotropic dissipation.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:00:16 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 08:44:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Voropajeva", "N.", "" ], [ "Ord", "T.", "" ] ]
0706.4091
Naveen Reddy
Naveen A. Reddy (NOAO/Caltech), Charles C. Steidel (Caltech), Max Pettini (IoA), Kurt L. Adelberger (McKinsey), Alice E. Shapley (Princeton), Dawn K. Erb (CfA), Mark Dickinson (NOAO)
Multi-Wavelength Constraints on the Cosmic Star Formation History from Spectroscopy: the Rest-Frame UV, H-alpha, and Infrared Luminosity Functions at Redshifts 1.9<z<3.4
40 pages, 28 figures, 12 tables; accepted for publication in ApJ
null
10.1086/521105
null
astro-ph
null
We use a sample of rest-frame UV selected and spectroscopically observed galaxies at redshifts 1.9<z<3.4, combined with ground-based spectroscopic H-alpha and Spitzer MIPS 24 micron data, to derive the most robust measurements of the rest-frame UV, H-alpha, and infrared (IR) luminosity functions (LFs) at these redshifts. Our sample is by far the largest of its kind, with over 2000 spectroscopic redshifts in the range 1.9<z<3.4 and ~15000 photometric candidates in 29 independent fields covering a total area of almost a square degree. Our method for computing the LFs takes into account a number of systematic effects, including photometric scatter, Ly-alpha perturbations to optical colors, and contaminants. Taking into account the latter, we find no evidence for an excess of UV-bright galaxies over what was inferred in early z~3 LBG studies. The UV LF appears to undergo little evolution between z~4 and z~2. Corrected for extinction, the UV luminosity density (LD) at z~2 is at least as large as the value at z~3 and a factor of ~9 larger than the value at z~6, primarily reflecting an increase in the number density of bright galaxies between z~6 and z~2. Our analysis yields the first constraints anchored by extensive spectroscopy on the IR and bolometric LFs for faint and moderately luminous (L[bol]<10^12 L_sun) galaxies. Adding the IR to the emergent UV luminosity, incorporating independent measurements of the LD from ULIRGs, and assuming realistic dust attenuation values for UV-faint galaxies, indicates that galaxies with L[bol]<10^12 L_sun account for ~80% of the bolometric LD and SFRD at z~2-3. Our multi-wavelength constraints on the global SFRD indicate that approximately one-third of the present-day stellar mass density was formed in sub-ultraluminous galaxies between redshifts z=1.9-3.4. [Abridged]
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:00:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Reddy", "Naveen A.", "", "NOAO/Caltech" ], [ "Steidel", "Charles C.", "", "Caltech" ], [ "Pettini", "Max", "", "IoA" ], [ "Adelberger", "Kurt L.", "", "McKinsey" ], [ "Shapley", "Alice E.", "", "Princeton" ], [ "Erb", "Dawn K.", "", "CfA" ], [ "Dickinson", "Mark", "", "NOAO" ] ]
0706.4092
Ricardo Avila
Ricardo E. Avila
Distinguishing Bulk-Diffusion from Surface-Desorption Limited Gas Release Processes
5 pages, 3 figures. Published as Ricardo E. Avila, Jap. J. Appl. Phys. 45, 9254 (2006)
Ricardo E. Avila, Jap. J. Appl. Phys. 45, 9254 (2006)
10.1143/JJAP.45.9254
null
cond-mat.other cond-mat.mtrl-sci cond-mat.stat-mech
null
The release of a gas limited by surface desorption, or by diffusion from the bulk of spherical pebbles is revisited. A method is proposed to identify the release limiting process, by comparing a partial temperature ramp, up to slightly beyond the release peak, followed by a rapid temperature drop, to a second, full release ramp. Comparing the release curve from the second ramp to that of the first one: i) the peak is unmoved in first order desorption kinetics, and moves to higher temperature in the other cases, ii) as compared to the Arrhenius analysis of the first curve, that of the second is, again, identical in first order kinetics, in second order desorption it maintains the slope but lowers the intercept at the reciprocal temperature origin, and it is inapplicable in bulk diffusion kinetics.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:08:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Avila", "Ricardo E.", "" ] ]
0706.4093
Brian Siana
Brian Siana (1), Harry I. Teplitz (1), James Colbert (1), Henry C. Ferguson (2), Mark Dickinson (3), Thomas M. Brown (2), Christopher J. Conselice (4), Duilia F. de Mello (5,6), Jonathan P. Gardner (6), Mauro Giavalisco (7), Felipe Menanteau (8) ((1) Spitzer Science Center, (2) STScI, (3) NOAO, (4) Nottingham, (5) Catholic University, (6) Goddard, (7) UMass, (8) Rutgers)
New Constraints on the Lyman Continuum Escape Fraction at z~1.3
Accepted for publication in ApJ. aastex format. 39 pages, 11 figures
null
10.1086/521185
null
astro-ph
null
We examine deep far-ultraviolet (1600 Angstrom) imaging of the Hubble Deep Field-North (HDFN) and the Hubble Ultra Deep Field (HUDF) to search for leaking Lyman continuum radiation from starburst galaxies at z~1.3. There are 21 (primarily sub-L*) galaxies with spectroscopic redshifts between 1.1<z<1.5 and none are detected in the far-UV. We fit stellar population templates to the galaxies' optical/near-infrared SEDs to determine the starburst age and level of dust attenuation, giving an accurate estimate of the intrinsic Lyman continuum ratio, f_1500/f_700, and allowing a conversion from f_700 limits to relative escape fractions. We show that previous high-redshift studies may have underestimated the amplitude of the Lyman Break, and thus the relative escape fraction, by a factor of ~2. Once the starburst age and intergalactic HI absorption are accounted for, 18 galaxies in our sample have limits to the relative escape fraction, f_esc,rel < 1.0 with some limits as low as f_esc,rel < 0.10 and a stacked limit of f_esc,rel < 0.08. This demonstrates, for the first time, that most sub-L* galaxies at high redshift do not have large escape fractions. When combined with a similar study of more luminous galaxies at the same redshift we show that, if all star-forming galaxies at z~1 have similar relative escape fractions, the value must be less than 0.14 (3 sigma). We also show that less than 20% (3 sigma) of star-forming galaxies at z~1 have relative escape fractions near unity. These limits contrast with the large escape fractions found at z~3 and suggest that the average escape fraction has decreased between z~3 and z~1. (Abridged)
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:09:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Siana", "Brian", "" ], [ "Teplitz", "Harry I.", "" ], [ "Colbert", "James", "" ], [ "Ferguson", "Henry C.", "" ], [ "Dickinson", "Mark", "" ], [ "Brown", "Thomas M.", "" ], [ "Conselice", "Christopher J.", "" ], [ "de Mello", "Duilia F.", "" ], [ "Gardner", "Jonathan P.", "" ], [ "Giavalisco", "Mauro", "" ], [ "Menanteau", "Felipe", "" ] ]
0706.4094
Matthew Hastings
M. B. Hastings
Quantum Belief Propagation
4 pages, 1 figure; revised time estimates due to improved implementation. Typographical corrections to Eq. 7 made; thanks to David Poulin for pointing out the mistake
Phys. Rev. B Rapids 76, 201102 (2007)
10.1103/PhysRevB.76.201102
null
cond-mat.str-el quant-ph
null
We present an accurate numerical algorithm, called quantum belief propagation (QBP), for simulation of one-dimensional quantum systems at non-zero temperature. The algorithm exploits the fact that quantum effects are short-range in these systems at non-zero temperature, decaying on a length scale inversely proportional to the temperature. We compare to exact results on a spin-1/2 Heisenberg chain. Even a very modest calculation, requiring diagonalizing only 10-by-10 matrices, reproduces the peak susceptibility with a relative error of less than $10^{-5}$, while more elaborate calculations further reduce the error.
[ { "version": "v1", "created": "Thu, 28 Jun 2007 17:33:09 GMT" }, { "version": "v2", "created": "Sun, 1 Jul 2007 22:23:49 GMT" }, { "version": "v3", "created": "Thu, 7 Feb 2008 17:45:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Hastings", "M. B.", "" ] ]
0706.4095
Ilya Kapovich
Ilya Kapovich and Paul Schupp
Some Quantitative Aspects of Fractional Computability
null
null
null
null
math.GR cs.CC
null
Motivated by results on generic-case complexity in group theory, we apply the ideas of effective Baire category and effective measure theory to study complexity classes of functions which are "fractionally computable" by a partial algorithm. For this purpose it is crucial to specify an allowable effective density, $\delta$, of convergence for a partial algorithm. The set $\mathcal{FC}(\delta)$ consists of all total functions $ f: \Sigma^\ast \to \{0,1 \}$ where $\Sigma$ is a finite alphabet with $|\Sigma| \ge 2$ which are "fractionally computable at density $\delta$". The space $\mathcal{FC}(\delta) $ is effectively of the second category while any fractional complexity class, defined using $\delta$ and any computable bound $\beta$ with respect to an abstract Blum complexity measure, is effectively meager. A remarkable result of Kautz and Miltersen shows that relative to an algorithmically random oracle $A$, the relativized class $\mathcal{NP}^A$ does not have effective polynomial measure zero in $\mathcal{E}^A$, the relativization of strict exponential time. We define the class $\mathcal{UFP}^A$ of all languages which are fractionally decidable in polynomial time at ``a uniform rate'' by algorithms with an oracle for $A$. We show that this class does have effective polynomial measure zero in $\mathcal{E}^A$ for every oracle $A$. Thus relaxing the requirement of polynomial time decidability to hold only for a fraction of possible inputs does not compensate for the power of nondeterminism in the case of random oracles.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:26:19 GMT" } ]
2007-06-30T00:00:00
[ [ "Kapovich", "Ilya", "" ], [ "Schupp", "Paul", "" ] ]
0706.4096
Natalia Ivanova
N. Ivanova, C. Heinke, F.A. Rasio, K. Belczynski, J. Fregeau
Formation and evolution of compact binaries in globular clusters: II. Binaries with neutron stars
25 pages, 7 figures, 12 tables, MNRAS accepted
null
10.1111/j.1365-2966.2008.13064.x
LA-UR-07-8455
astro-ph
null
In this paper, the second of a series, we study the stellar dynamical and evolutionary processes leading to the formation of compact binaries containing neutron stars (NSs) in dense globular clusters (GCs). For this study, 70 dense clusters were simulated independently, with a total stellar mass ~2x10^7Msun, exceeding the total mass of all dense GCs in our Galaxy. We find that, in order to reproduce the empirically derived formation rate of low-mass X-ray binaries (LMXBs), we must assume that NSs can be formed via electron-capture supernovae (ECS) with typical natal kicks smaller than in core-collapse supernovae. Our results explain the observed dependence of the number of LMXBs on ``collision number'' as well as the large scatter observed between different GCs. We predict that the number of quiescent LMXBs in different GCs should not have a strong metallicity dependence. In our cluster model the following mass-gaining events create populations of MSPs that do not match the observations: (i) accretion during a common envelope event with a NS formed through ECS, and (ii) mass transfer (MT) from a WD donor. Some processes lead only to a mild recycling. In addition, for MSPs, we distinguish low-magnetic-field (long-lived) and high-magnetic-field (short-lived) populations. With this distinction and by considering only those mass-gaining events that appear to lead to NS recycling, we obtain good agreement of our models with the numbers and characteristics of observed MSPs in 47 Tuc and Terzan 5, as well as with the cumulative statistics for MSPs detected in GCs of different dynamical properties. We find that significant production of merging double NSs potentially detectable as short gamma-ray bursts occurs only in very dense, most likely core-collapsed GCs. (abridged)
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:57:01 GMT" }, { "version": "v2", "created": "Fri, 1 Feb 2008 19:52:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Ivanova", "N.", "" ], [ "Heinke", "C.", "" ], [ "Rasio", "F. A.", "" ], [ "Belczynski", "K.", "" ], [ "Fregeau", "J.", "" ] ]
0706.4097
Peter Wong
Lucilia Borsari, Fernanda Cardona, and Peter Wong
Equivariant path fields on topological manifolds
17 pages, 6 figures
Topol. Methods Nonlinear Anal. 33 (2009), no. 1, 1--15
null
null
math.AT
null
A classical theorem of H. Hopf asserts that a closed connected smooth manifold admits a nowhere vanishing vector field if and only if its Euler characteristic is zero. R. Brown generalized Hopf's result to topological manifolds, replacing vector fields with path fields. In this note, we give an equivariant analog of Brown's theorem for locally smooth $G$-manifolds where $G$ is a finite group.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 20:55:54 GMT" } ]
2011-05-11T00:00:00
[ [ "Borsari", "Lucilia", "" ], [ "Cardona", "Fernanda", "" ], [ "Wong", "Peter", "" ] ]
0706.4098
Dawid Borycki Mr
Dawid Borycki
A superconductor with 4-fermion attraction perturbed by magnetic impurities
21 pages, 3 figures
null
10.1140/epjb/e2008-00328-1
null
cond-mat.supr-con
null
A superconductor with 4-fermion attraction, considered by Ma\'{c}kowiak and Tarasewicz is modified by adding to the Hamiltonian a long-range magnetic interaction $V$ between conduction fermions and localized distinguishable spin 1/2 magnetic impurities. $V$ has the form of a reduced s-d interaction. An upper and lower bound to the system's free energy density $f(H,\beta)$ is derived and the two bounds are shown to coalesce in the thermodynamic limit. The resulting mean-field equations for the gap $\Delta$ and a parameter $y$, characterizing the impurity subsystem are solved and the solution minimizing $f$ is found for various values of magnetic coupling constant $g$ and impurity concentration. The phase diagrams of the system are depicted with five distinct phases: the normal phase, unperturbed superconducting phase, perturbed superconducting phase with nonzero gap in the excitation spectrum, perturbed gapless superconducting phase and impurity phase with completely suppressed superconductivity.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:05:19 GMT" }, { "version": "v2", "created": "Wed, 19 Mar 2008 17:56:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Borycki", "Dawid", "" ] ]
0706.4099
Benny Sudakov
Noga Alon and Benny Sudakov
On graphs with subgraphs of large independence numbers
null
null
null
null
math.CO
null
Let G be a graph on n vertices in which every induced subgraph on s=\log^3 n vertices has an independent set of size at least t=\log n. What is the largest q=q(n) so that every such G must contain an independent set of size at least q ? This is one of several related questions raised by Erdos and Hajnal. We show that q(n)=\Theta(\log^2 n/\log \log n), investigate the more general problem obtained by changing the parameters s and t, and discuss the connection to a related Ramsey-type problem.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:08:00 GMT" } ]
2007-06-29T00:00:00
[ [ "Alon", "Noga", "" ], [ "Sudakov", "Benny", "" ] ]
0706.4100
Benny Sudakov
Noga Alon, Michael Krivelevich and Benny Sudakov
Embedding nearly-spanning bounded degree trees
null
null
null
null
math.CO
null
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1-\epsilon)n vertices, in terms of the expansion properties of G. As a result we show that for fixed d\geq 2 and 0<\epsilon<1, there exists a constant c=c(d,\epsilon) such that a random graph G(n,c/n) contains almost surely a copy of every tree T on (1-\epsilon)n vertices with maximum degree at most d. We also prove that if an (n,D,\lambda)-graph G (i.e., a D-regular graph on n vertices all of whose eigenvalues, except the first one, are at most \lambda in their absolute values) has large enough spectral gap D/\lambda as a function of d and \epsilon, then G has a copy of every tree T as above.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:13:21 GMT" } ]
2007-06-29T00:00:00
[ [ "Alon", "Noga", "" ], [ "Krivelevich", "Michael", "" ], [ "Sudakov", "Benny", "" ] ]
0706.4101
Benny Sudakov
Benny Sudakov
Making a K_4-free graph bipartite
null
null
null
null
math.CO
null
We show that every K_4-free graph G with n vertices can be made bipartite by deleting at most n^2/9 edges. Moreover, the only extremal graph which requires deletion of that many edges is a complete 3-partite graph with parts of size n/3. This proves an old conjecture of P. Erdos.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:16:39 GMT" } ]
2007-06-29T00:00:00
[ [ "Sudakov", "Benny", "" ] ]
0706.4102
Benny Sudakov
Benny Sudakov
Ramsey numbers and the size of graphs
null
null
null
null
math.CO
null
For two graph H and G, the Ramsey number r(H, G) is the smallest positive integer n such that every red-blue edge coloring of the complete graph K_n on n vertices contains either a red copy of H or a blue copy of G. Motivated by questions of Erdos and Harary, in this note we study how the Ramsey number r(K_s, G) depends on the size of the graph G. For s \geq 3, we prove that for every G with m edges, r(K_s,G) \geq c (m/\log m)^{\frac{s+1}{s+3}} for some positive constant c depending only on s. This lower bound improves an earlier result of Erdos, Faudree, Rousseau, and Schelp, and is tight up to a polylogarithmic factor when s=3. We also study the maximum value of r(K_s,G) as a function of m.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:21:22 GMT" } ]
2007-06-29T00:00:00
[ [ "Sudakov", "Benny", "" ] ]
0706.4103
Jon Wilkening
Jon Wilkening
Practical Error Estimates for Reynolds' Lubrication Approximation and its Higher Order Corrections
43 pages, 10 figures, 4 tables; introduction expanded, 9 references added, additional numerical results reported
SIAM J. Math Anal, 41/2 (2009), pp. 588-630
10.1137/070695447
null
math.AP math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Reynolds' lubrication approximation is used extensively to study flows between moving machine parts, in narrow channels, and in thin films. The solution of Reynolds' equation may be thought of as the zeroth order term in an expansion of the solution of the Stokes equations in powers of the aspect ratio $\epsilon$ of the domain. In this paper, we show how to compute the terms in this expansion to arbitrary order on a two-dimensional, $x$-periodic domain and derive rigorous, a-priori error bounds for the difference between the exact solution and the truncated expansion solution. Unlike previous studies of this sort, the constants in our error bounds are either independent of the function $h(x)$ describing the geometry, or depend on $h$ and its derivatives in an explicit, intuitive way. Specifically, if the expansion is truncated at order $2k$, the error is $O(\epsilon^{2k+2})$ and $h$ enters into the error bound only through its first and third inverse moments $\int_0^1 h(x)^{-m} dx$, $m=1,3$ and via the max norms $\big\|\frac{1}{\ell!} h^{\ell-1} \partial_x^\ell h\big\|_\infty$, $1\le\ell\le2k+2$. We validate our estimates by comparing with finite element solutions and present numerical evidence that suggests that even when $h$ is real analytic and periodic, the expansion solution forms an asymptotic series rather than a convergent series.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:05:42 GMT" }, { "version": "v2", "created": "Wed, 9 Jun 2010 20:55:38 GMT" } ]
2010-06-11T00:00:00
[ [ "Wilkening", "Jon", "" ] ]
0706.4104
Benny Sudakov
Benny Sudakov and Van Vu
Local resilience of graphs
null
null
null
null
math.CO math.PR
null
In this paper, we initiate a systematic study of graph resilience. The (local) resilience of a graph G with respect to a property P measures how much one has to change G (locally) in order to destroy P. Estimating the resilience leads to many new and challenging problems. Here we focus on random and pseudo-random graphs and prove several sharp results.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:24:54 GMT" }, { "version": "v2", "created": "Sat, 1 Dec 2007 16:39:54 GMT" } ]
2007-12-01T00:00:00
[ [ "Sudakov", "Benny", "" ], [ "Vu", "Van", "" ] ]
0706.4105
Peter Kleban
Jacob J. H. Simmons, Peter Kleban, and Robert M. Ziff
Exact factorization of correlation functions in 2-D critical percolation
6 pages, 3 figures. Oral presentation given at STATPHYS 23. V2: Minor additions and corrections, figures improved
Phys.Rev.E76:041106,2007
10.1103/PhysRevE.76.041106
null
math-ph cond-mat.dis-nn cond-mat.stat-mech hep-th math.MP
null
By use of conformal field theory, we discover several exact factorizations of higher-order density correlation functions in critical two-dimensional percolation. Our formulas are valid in the upper half-plane, or any conformally equivalent region. We find excellent agreement of our results with high-precision computer simulations. There are indications that our formulas hold more generally.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:47:16 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 18:57:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Simmons", "Jacob J. H.", "" ], [ "Kleban", "Peter", "" ], [ "Ziff", "Robert M.", "" ] ]
0706.4106
Fuad Saradzhev
M. de Montigny, F.C. Khanna, F.M. Saradzhev
Path-integral quantization of Galilean Fermi fields
LATEX file, 27 pages, 8 figures; typos in the journal version are removed, equation (1) in Introduction is corrected
Annals Phys.323:1191-1214,2008
10.1016/j.aop.2007.08.002
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Galilei-covariant fermionic field theories are quantized by using the path-integral method and five-dimensional Lorentz-like covariant expressions of non-relativistic field equations. Firstly, we review the five-dimensional approach to the Galilean Dirac equation, which leads to the Levy-Leblond equations, and define the Galilean generating functional and Green's functions for positive- and negative-energy/mass solutions. Then, as an example of interactions, we consider the quartic self-interacting potential ${\lambda} (\bar{\Psi} {\Psi})^2$, and we derive expressions for the 2- and 4-point Green's functions. Our results are compatible with those found in the literature on non-relativistic many-body systems. The extended manifold allows for compact expressions of the contributions in $(3+1)$ space-time. This is particularly apparent when we represent the results with diagrams in the extended $(4+1)$ manifold, since they usually encompass more diagrams in Galilean $(3+1)$ space-time.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 21:50:37 GMT" }, { "version": "v2", "created": "Tue, 2 Oct 2007 19:08:15 GMT" }, { "version": "v3", "created": "Mon, 9 Feb 2015 19:00:25 GMT" } ]
2015-02-10T00:00:00
[ [ "de Montigny", "M.", "" ], [ "Khanna", "F. C.", "" ], [ "Saradzhev", "F. M.", "" ] ]
0706.4107
Mihai Patrascu
Gianni Franceschini, S. Muthukrishnan and Mihai Patrascu
Radix Sorting With No Extra Space
Full version of paper accepted to ESA 2007. (17 pages)
null
null
null
cs.DS
null
It is well known that n integers in the range [1,n^c] can be sorted in O(n) time in the RAM model using radix sorting. More generally, integers in any range [1,U] can be sorted in O(n sqrt{loglog n}) time. However, these algorithms use O(n) words of extra memory. Is this necessary? We present a simple, stable, integer sorting algorithm for words of size O(log n), which works in O(n) time and uses only O(1) words of extra memory on a RAM model. This is the integer sorting case most useful in practice. We extend this result with same bounds to the case when the keys are read-only, which is of theoretical interest. Another interesting question is the case of arbitrary c. Here we present a black-box transformation from any RAM sorting algorithm to a sorting algorithm which uses only O(1) extra space and has the same running time. This settles the complexity of in-place sorting in terms of the complexity of sorting.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:04:40 GMT" } ]
2007-06-29T00:00:00
[ [ "Franceschini", "Gianni", "" ], [ "Muthukrishnan", "S.", "" ], [ "Patrascu", "Mihai", "" ] ]
0706.4108
John Rice
Peter Bickel, Bas Kleijn, and John Rice
Event Weighted Tests for Detecting Periodicity in Photon Arrival Times
null
null
10.1086/590399
null
stat.ME astro-ph stat.AP
null
This paper treats the problem of detecting periodicity in a sequence of photon arrival times, which occurs, for example, in attempting to detect gamma-ray pulsars. A particular focus is on how auxiliary information, typically source intensity, background intensity, and incidence angles and energies associated with each photon arrival should be used to maximize the detection power. We construct a class of likelihood-based tests, score tests, which give rise to event weighting in a principled and natural way, and derive expressions quantifying the power of the tests. These results can be used to compare the efficacies of different weight functions, including cuts in energy and incidence angle. The test is targeted toward a template for the periodic lightcurve, and we quantify how deviation from that template affects the power of detection.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:00:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Bickel", "Peter", "" ], [ "Kleijn", "Bas", "" ], [ "Rice", "John", "" ] ]
0706.4109
Seong-Gon Kim
Jeffery Houze, Sungho Kim, Seong-Gon Kim, S. C. Erwin and L. J. Whitman
Structure of AlSb(001) and GaSb(001) Surfaces Under Extreme Sb-rich Conditions
6 pages, 6 figures
null
10.1103/PhysRevB.76.205303
null
cond-mat.mtrl-sci
null
We use density-functional theory to study the structure of AlSb(001) and GaSb(001) surfaces. Based on a variety of reconstruction models, we construct surface stability diagrams for AlSb and GaSb under different growth conditions. For AlSb(001), the predictions are in excellent agreement with experimentally observed reconstructions. For GaSb(001), we show that previously proposed model accounts for the experimentally observed reconstructions under Ga-rich growth conditions, but fails to explain the experimental observations under Sb-rich conditions. We propose a new model that has a substantially lower surface energy than all (nx5)-like reconstructions proposed previously and that, in addition, leads to a simulated STM image in better agreement with experiment than existing models. However, this new model has higher surface energy than some of (4x3)-like reconstructions, models with periodicity that has not been observed. Hence we conclude that the experimentally observed (1x5) and (2x5) structures on GaSb(001) are kinetically limited rather than at the ground state.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:04:40 GMT" }, { "version": "v2", "created": "Fri, 29 Jun 2007 19:32:21 GMT" }, { "version": "v3", "created": "Fri, 29 Jun 2007 20:10:36 GMT" }, { "version": "v4", "created": "Wed, 12 Sep 2007 19:47:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Houze", "Jeffery", "" ], [ "Kim", "Sungho", "" ], [ "Kim", "Seong-Gon", "" ], [ "Erwin", "S. C.", "" ], [ "Whitman", "L. J.", "" ] ]
0706.4110
Emmanuel Sauvan
E. Sauvan (on behalf of the H1 Collaboration)
A General Search for New Phenomena at HERA
4 pages, 3 figures; To appear in the proceedings of 15th International Workshop on Deep Inelastic Scattering and Related Subjects (DIS 2007), Munich, Germany, 16-20 Apr 2007
null
null
null
hep-ex
null
A model-independent search for deviations from the Standard Model prediction is performed in $e^+ p$ and $e^- p$ collisions at HERA II using all high energy data recorded by the H1 experiment. This corresponds to a total integrated luminosity of 337 pb$^{-1}$. All event topologies involving isolated electrons, photons, muons, neutrinos and jets with high transverse momenta are investigated in a single analysis. Events are assigned to exclusive classes according to their final state. A statistical algorithm is used to search for deviations from the Standard Model in distributions of the scalar sum of transverse momenta or invariant mass of final state particles and to quantify their significance. A good agreement with the Standard Model prediction is observed in most of the event classes. The most siginificant deviation is found in the \mujnp channel in $e^+p$ collisions.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:04:48 GMT" } ]
2007-07-28T00:00:00
[ [ "Sauvan", "E.", "", "on behalf of the H1 Collaboration" ] ]
0706.4111
Cristina Bena
Cristina Bena
Effect of a single impurity on the local density of states in monolayer and bilayer graphene
8 pages, 3 figures, version accepted for publication
Phys. Rev. Lett. 100, 076601 (2008)
10.1103/PhysRevLett.100.076601
null
cond-mat.mes-hall
null
We use the T-matrix approximation to analyze the effect of a localized impurity on the local density of states in mono- and bilayer graphene. For monolayer graphene the Friedel oscillations generated by intranodal scattering obey an inverse-square law, while the internodal ones obey an inverse law. In the Fourier transform this translates into a filled circle of high intensity in the center of the Brillouin zone, and empty circular contours around its corners. For bilayer graphene both types of oscillations obey an inverse law.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:08:16 GMT" }, { "version": "v2", "created": "Mon, 5 Nov 2007 11:26:37 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 11:51:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Bena", "Cristina", "" ] ]
0706.4112
Jacob Fox
Jacob Fox, Benny Sudakov
Induced Ramsey-type theorems
30 pages
null
null
null
math.CO
null
We present a unified approach to proving Ramsey-type theorems for graphs with a forbidden induced subgraph which can be used to extend and improve the earlier results of Rodl, Erdos-Hajnal, Promel-Rodl, Nikiforov, Chung-Graham, and Luczak-Rodl. The proofs are based on a simple lemma (generalizing one by Graham, Rodl, and Rucinski) that can be used as a replacement for Szemeredi's regularity lemma, thereby giving much better bounds. The same approach can be also used to show that pseudo-random graphs have strong induced Ramsey properties. This leads to explicit constructions for upper bounds on various induced Ramsey numbers.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:15:39 GMT" }, { "version": "v2", "created": "Sun, 11 Nov 2007 22:22:30 GMT" }, { "version": "v3", "created": "Thu, 27 Dec 2007 21:18:10 GMT" } ]
2007-12-27T00:00:00
[ [ "Fox", "Jacob", "" ], [ "Sudakov", "Benny", "" ] ]
0706.4113
Yum-Tong Siu
Yum-Tong Siu
Effective Termination of Kohn's Algorithm for Subelliptic Multipliers
null
null
null
null
math.CV math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This note discusses the problem of the effective termination of Kohn's algorithm for subelliptic multipliers for bounded smooth weakly pseudoconvex domains of finite type. We give a complete proof for the case of special domains of finite type and indicate briefly how this method is to be extended to the case of general bounded smooth weakly pseudoconvex domains of finite type.
[ { "version": "v1", "created": "Wed, 27 Jun 2007 22:16:43 GMT" }, { "version": "v2", "created": "Fri, 11 Jul 2008 23:04:07 GMT" }, { "version": "v3", "created": "Wed, 27 Aug 2008 02:13:30 GMT" } ]
2008-08-27T00:00:00
[ [ "Siu", "Yum-Tong", "" ] ]