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711.3808 | Oded Schramm | Oded Schramm | Hyperfinite graph limits | null | null | null | null | math.PR math.CO | null | G\'abor Elek introduced the notion of a hyperfinite graph family: a
collection of graphs is hypefinite if for every $\epsilon>0$ there is some
finite $k$ such that each graph $G$ in the collection can be broken into
connected components of size at most $k$ by removing a set of edges of size at
most $\epsilon|V(G)|$. We presently extend this notion to a certain
compactification of finite bounded-degree graphs, and show that if a sequence
of finite graphs converges to a hyperfinite limit, then the sequence itself is
hyperfinite.
| [
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711.3809 | Avi Loeb | Abraham Loeb, Ramesh Narayan (Harvard) | Dynamical Constraints on the Local Group from the CMB and 2MRS Dipoles | 5 pages, 2 figures, Accepted for publication in MNRAS | null | 10.1111/j.1365-2966.2008.13187.x | null | astro-ph | null | We place constraints on the dynamics of the Local Group (LG) by comparing the
dipole of the Cosmic Microwave Background (CMB) with the peculiar velocity
induced by the 2MRS galaxy sample. The analysis is limited by the lack of
surveyed galaxies behind the Zone of Avoidance (ZoA). We therefore allow for a
component of the LG velocity due to unknown mass concentrations behind the ZoA,
as well as for an unknown transverse velocity of the Milky Way relative to the
Andromeda galaxy. We infer extra motion along the direction of the Galactic
center (where Galactic confusion and dust obscuration peaks) at the 95%
significance level. With a future survey of the ZoA it might be possible to
constrain the transverse velocity of the Milky Way relative to Andromeda.
| [
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{
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"created": "Wed, 19 Mar 2008 18:55:07 GMT"
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] | 2009-11-13T00:00:00 | [
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711.381 | Mikhail Smolyakov | Mikhail N. Smolyakov, Igor P. Volobuev | On a stabilized warped brane world without Planck brane | 7 pages, LaTeX, typos corrected, 1 figure added, discussion enlarged | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a stabilized brane world model with two branes, admitting the
solution to the hierarchy problem due to the warped extra dimension and
possessing a remarkable feature: the strength of gravitational interaction is
of the same order on both branes, contrary to the case of the Randall-Sundrum
model with a hierarchical difference of gravitational strength on the branes.
The solution also admits the existence of two branes with an equal strength of
gravitational interaction, which is of interest for treating the matter on the
"mirror" brane as dark matter.
| [
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},
{
"version": "v2",
"created": "Mon, 3 Nov 2008 14:12:59 GMT"
}
] | 2008-11-03T00:00:00 | [
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"Mikhail N.",
""
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] |
711.3811 | Mikhail Smolyakov | Mikhail N. Smolyakov | A small cosmological constant from the modified Brans-Dicke theory - an
interplay between different energy scales | 10 pages, LaTeX, references added | null | null | null | gr-qc astro-ph hep-th | null | In this paper we discuss a model in which the energy density, corresponding
to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry
breaking appears to be of the desired order of $10^{-48}\div 10^{-47} GeV^{4}$.
The model contain two different energy scales, one of which is associated with
the Higgs's vacuum expectation value. Another scale is of the order of
$10^{21}GeV$ and defines the vacuum expectation value of the Brans-Dicke scalar
field, non-minimally coupled to gravity, and sets the value of the Planck mass.
Other (dimensionless) parameters are assumed not to contain hierarchical
differences. The model is devoid of any fine-tuning and gives a small value of
the effective cosmological constant even if the real "bare" cosmological
constant is quite large.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 20:22:08 GMT"
},
{
"version": "v2",
"created": "Sun, 2 Dec 2007 21:29:28 GMT"
}
] | 2007-12-02T00:00:00 | [
[
"Smolyakov",
"Mikhail N.",
""
]
] | [
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711.3812 | Sorin Tanase-Nicola | Sorin Tanase-Nicola and Pieter Rein ten Wolde | Regulatory control and the costs and benefits of biochemical noise | Revised manuscript;35 pages, 4 figures, REVTeX4; to appear in PLoS
Computational Biology | null | 10.1371/journal.pcbi.1000125 | null | q-bio.MN q-bio.PE | null | Experiments in recent years have vividly demonstrated that gene expression
can be highly stochastic. How protein concentration fluctuations affect the
growth rate of a population of cells, is, however, a wide open question. We
present a mathematical model that makes it possible to quantify the effect of
protein concentration fluctuations on the growth rate of a population of
genetically identical cells. The model predicts that the population's growth
rate depends on how the growth rate of a single cell varies with protein
concentration, the variance of the protein concentration fluctuations, and the
correlation time of these fluctuations. The model also predicts that when the
average concentration of a protein is close to the value that maximizes the
growth rate, fluctuations in its concentration always reduce the growth rate.
However, when the average protein concentration deviates sufficiently from the
optimal level, fluctuations can enhance the growth rate of the population, even
when the growth rate of a cell depends linearly on the protein concentration.
The model also shows that the ensemble or population average of a quantity,
such as the average protein expression level or its variance, is in general not
equal to its time average as obtained from tracing a single cell and its
descendants. We apply our model to perform a cost-benefit analysis of gene
regulatory control. Our analysis predicts that the optimal expression level of
a gene regulatory protein is determined by the trade-off between the cost of
synthesizing the regulatory protein and the benefit of minimizing the
fluctuations in the expression of its target gene. We discuss possible
experiments that could test our predictions.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 03:52:14 GMT"
},
{
"version": "v2",
"created": "Sun, 4 May 2008 02:42:45 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Tanase-Nicola",
"Sorin",
""
],
[
"Wolde",
"Pieter Rein ten",
""
]
] | [
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] |
711.3813 | Xiang Liu | Xiang Liu and Bo Zhang | What can we learn from the decay of $ N_X(1625)$ in molecule picture? | 6 pages, 3 figures, 2 tables. The title changed. More discussion
added | Eur.Phys.J.C54:253-258,2008 | 10.1140/epjc/s10052-008-0527-4 | null | hep-ph hep-ex nucl-ex nucl-th | null | Considering two molecular state assumptions, i.e. S-wave $\bar{\Lambda}-K^-$
and S-wave $\bar{\Sigma}^0-K^-$ molecular states, we study the possible decays
of $\bar N_X(1625)$ that include $\bar N_X(1625)\to K^{-}\bar{\Lambda},
\pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Our results indicate: (1) if
$\bar N_{X}(1625)$ is $\bar{\Lambda}-K^-$ molecular state, $K^{-}\bar{\Lambda}$
is the main decay modes of $\bar N_{X}(1625)$, and the branching ratios of the
rest decay modes are tiny; (2) if $\bar N_{X}(1625)$ is $\bar{\Sigma}^0-K^-$
molecular state, the branching ratio of $\bar N_{X}(1625)\to
K^{-}\bar{\Lambda}$ is one or two order smaller than that of $\bar
N_{X}(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Thus the search
for $\bar N_X(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$ will be
helpful to shed light on the nature of $\bar N_X(1625)$.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 04:29:23 GMT"
},
{
"version": "v2",
"created": "Wed, 12 Dec 2007 14:56:46 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Liu",
"Xiang",
""
],
[
"Zhang",
"Bo",
""
]
] | [
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] |
711.3814 | LiangGang Liu | M.H. Zhu, L.G. Liu, Z. You, A.A. Xu | Least Squares Fitting of Low-Level Gamma-ray Spectra with B-Spline Basis
Functions | 6 pages, 11 figures, 1 table | 2008 Congress on Image and Signal Processing, Vol. 1 pp. 691-695 | null | null | math.SP | null | In this paper, new methods for smoothing gamma-ray spectra measured by NaI
detector are derived. Least squares fitting method with B-spline basis
functions is used to reduce the influence of statistical fluctuations. The
derived procedures are simple and automatic. The results show that this method
is better than traditional method with a more complete reduction of staistical
fluctuation.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 04:31:40 GMT"
}
] | 2008-08-12T00:00:00 | [
[
"Zhu",
"M. H.",
""
],
[
"Liu",
"L. G.",
""
],
[
"You",
"Z.",
""
],
[
"Xu",
"A. A.",
""
]
] | [
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711.3815 | Withawat Withayachumnankul | W. Withayachumnankul, B. M. Fischer, and D. Abbott | Optimisation of sample thickness for THz-TDS measurements | 13 pages, 11 figures | Optics Express, Vol. 16, Issue 10, pp. 7382-7396, 2008 | 10.1364/OE.16.007382 | null | physics.optics cond-mat.mtrl-sci | null | How thick should the sample be for a transmission THz-TDS measurement? Should
the sample be as thick as possible? The answer is `no'. Although more thickness
allows T-rays to interact more with bulk material, SNR rolls off with thickness
due to signal attenuation. Then, should the sample be extremely thin? Again,
the answer is `no'. A sample that is too thin renders itself nearly invisible
to T-rays, in such a way that the system can hardly sense the difference
between the sample and a free space path. So, where is the optimal boundary
between `too thick' and `too thin'? The trade-off is analysed and revealed in
this paper, where our approach is to find the optimal thickness that results in
the minimal variance of measured optical constants.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 04:54:53 GMT"
}
] | 2008-07-16T00:00:00 | [
[
"Withayachumnankul",
"W.",
""
],
[
"Fischer",
"B. M.",
""
],
[
"Abbott",
"D.",
""
]
] | [
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711.3816 | Roland E. Allen | Roland E. Allen, Zorawar Wadiasingh, and Seiichirou Yokoo | Standard supersymmetry from a Planck-scale statistical theory | 8 pages, to be published in the proceedings of DARK2007, Sixth
International Heidelberg Conference on Dark Matter (Sydney, Australia,
September 24-28, 2007) | null | 10.1142/9789812814357_0021 | null | physics.gen-ph gr-qc hep-th | null | We outline three new ideas in a program to obtain standard physics, including
standard supersymmetry, from a Planck-scale statistical theory: (1) The initial
spin 1/2 bosonic fields are transformed to spin 0 fields together with their
auxiliary fields. (2) Time is defined by the progression of 3-geometries, just
as originally proposed by DeWitt. (3) The initial (D-1)-dimensional "path
integral" is converted from Euclidean to Lorentzian form by transformation of
the fields in the integrand.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 23:00:34 GMT"
}
] | 2017-08-23T00:00:00 | [
[
"Allen",
"Roland E.",
""
],
[
"Wadiasingh",
"Zorawar",
""
],
[
"Yokoo",
"Seiichirou",
""
]
] | [
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] |
711.3817 | Anders Ryd | A. Ryd | Determination of Charm Hadronic Branching Fractions at CLEO-c | 7 pages, 6 figures. To be published in the proceedings of CHARM07,
Ithaca, NY, August 2007, eConf C070805 | ECONF C070805:33,2007 | null | null | hep-ex | null | Recent results from CLEO-c on measurements of absolute hadronic branching
fractions of D0, D+, and Ds+ mesons are presented.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 05:06:01 GMT"
}
] | 2010-01-05T00:00:00 | [
[
"Ryd",
"A.",
""
]
] | [
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] |
711.3818 | Mikko Stenlund | Arvind Ayyer, Carlangelo Liverani, Mikko Stenlund | Quenched CLT for random toral automorphism | 18 pages | Discrete and Continuous Dynamical Systems - A, Volume 24, Issue 2,
2009, pp. 331-348 | 10.3934/dcds.2009.24.331 | null | math.DS math.PR | null | We establish a quenched Central Limit Theorem (CLT) for a smooth observable
of random sequences of iterated linear hyperbolic maps on the torus. To this
end we also obtain an annealed CLT for the same system. We show that, almost
surely, the variance of the quenched system is the same as for the annealed
system. Our technique is the study of the transfer operator on an anisotropic
Banach space specifically tailored to use the cone condition satisfied by the
maps.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 05:08:35 GMT"
}
] | 2011-10-18T00:00:00 | [
[
"Ayyer",
"Arvind",
""
],
[
"Liverani",
"Carlangelo",
""
],
[
"Stenlund",
"Mikko",
""
]
] | [
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] |
711.3819 | Hans Bruntt | H. Bruntt, P. De Cat, C. Aerts | A spectroscopic study of southern (candidate) gamma Doradus stars. II.
Detailed abundance analysis and fundamental parameters | 13 pages, accepted by A&A | null | 10.1051/0004-6361:20078523 | null | astro-ph | null | The gamma Doradus stars are a recent class of variable main sequence F-type
stars located on the red edge of the Cepheid instability strip. They pulsate in
gravity modes, and this makes them particularly interesting for detailed
asteroseismic analysis, which can provide fundamental knowledge of properties
near the convective cores of intermediate-mass main sequence stars. To improve
current understanding of gamma Dor stars through theoretical modelling,
additional constraints are needed. Our aim is to estimate the fundamental
atmospheric parameters and determine the chemical composition of these stars.
Detailed analyses of single stars have previously suggested links to Am and
lambda Bootis stars, so we wish to explore this interesting connection between
chemical peculiarity and pulsation. We have analysed a sample of gamma Dor
stars for the first time, including nine bona fide and three candidate members
of the class. We determined the fundamental atmospheric parameters and compared
the abundance pattern with other A-type stars. We used the semi-automatic
software package VWA for the analysis. This code relies on the calculation of
synthetic spectra and thus takes line-blending into account. This is important
because of the fast rotation in some of the sample stars, and we made a
thorough analysis of how VWA performs when increasing vsini. We obtained good
results in agreement with previously derived fundamental parameters and
abundances in a few selected reference stars with properties similar to the
gamma Dor stars. We find that the abundance pattern in the gamma Dor stars is
not distinct from the constant A- and F-type stars we analysed.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 05:44:56 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Bruntt",
"H.",
""
],
[
"De Cat",
"P.",
""
],
[
"Aerts",
"C.",
""
]
] | [
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711.382 | Elizabeth Beazley | E. T. Mili\'cevi\'c (Beazley) | Codimensions of Newton Strata for SL_3 in the Iwahori Case | 37 pages, 1 figure; introduction and main theorem expanded, corrected
typos, updated references; to appear in Math. Zeit | Math. Zeit. 263, no. 3, p. 499-540, 2009 | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Newton stratification on SL_3(F), where F is a Laurent power
series field. We provide a formula for the codimensions of the Newton strata
inside each component of the affine Bruhat decomposition on SL_3(F). These
calculations are related to the study of certain affine Deligne-Lusztig
varieties. In particular, we describe a method for determining which of these
varieties is non-empty in the case of SL_3(F).
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 05:50:38 GMT"
},
{
"version": "v2",
"created": "Mon, 25 Aug 2008 22:43:18 GMT"
}
] | 2016-06-29T00:00:00 | [
[
"Milićević",
"E. T.",
"",
"Beazley"
]
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711.3821 | Simon Lloyd | C. Gutierrez, S. Lloyd, V. Medvedev, B. Pires and E. Zhuzhoma | Unique ergodicity of circle and interval exchange transformations with
flips | 13 pages, 6 figures; notational changes, smaller figures | Discrete Contin. Dyn. Syst. 26(1) (2010), 251--263. | 10.3934/dcds.2010.26.251 | null | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the existence of transitive exchange maps with flips defined on the
unit circle. We provide a complete answer to the question of whether there
exists a transitive exchange map of the unit circle defined on n subintervals
and having f flips.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 06:32:37 GMT"
},
{
"version": "v2",
"created": "Wed, 10 Sep 2008 03:54:42 GMT"
}
] | 2010-01-29T00:00:00 | [
[
"Gutierrez",
"C.",
""
],
[
"Lloyd",
"S.",
""
],
[
"Medvedev",
"V.",
""
],
[
"Pires",
"B.",
""
],
[
"Zhuzhoma",
"E.",
""
]
] | [
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711.3822 | Theodore A. Jacobson | Ted Jacobson | Einstein-aether gravity: theory and observational constraints | 8 pages, for proceedings of 4th Meeting on CPT and Lorentz Symmetry
(CPT 07), Bloomington, Indiana, 8-11 Aug 2007 | null | 10.1142/9789812779519_0014 | null | gr-qc astro-ph hep-ph hep-th | null | Einstein-aether theory is general relativity coupled to a dynamical unit
timelike vector field. A brief review of current theoretical understanding and
observational constraints on the four coupling parameters of the theory is
given.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 06:49:09 GMT"
}
] | 2016-11-09T00:00:00 | [
[
"Jacobson",
"Ted",
""
]
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] |
711.3823 | Cassisi Santi | S. Cassisi (INAF - OACTe), M. Salaris (John Moores Univ.), A.
Pietrinferni (INAF - OACTe), G. Piotto (Padua Univ.), A.P. Milone (Padua
Univ.), L.R. Bedin (Space Telescope Inst.), J. Anderson (Rice Univ.) | The double Subgiant Branch of NGC 1851: the role of the CNO abundance | 12 pages, 2 figures, ApJ Letter in press | null | 10.1086/527035 | null | astro-ph | null | We explore the possibility that the anomalous split in the Subgiant branch of
the galactic globular cluster NGC 1851 is due to the presence of two distinct
stellar populations with very different initial metal mixtures: a normal
alpha-enhanced component, and one characterized by strong anticorrelations
among the CNONa abundances, with a total CNO abundance increased by a factor of
two. We test this hypothesis taking into account various empirical constraints,
and conclude that the two populations should be approximately coeval, with the
same initial He-content. More high-resolution spectroscopical measurements of
heavy elements -- and in particular of the CNO sum -- for this cluster are
necessary to prove (or disprove) this scenario.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 08:04:15 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Cassisi",
"S.",
"",
"INAF - OACTe"
],
[
"Salaris",
"M.",
"",
"John Moores Univ."
],
[
"Pietrinferni",
"A.",
"",
"INAF - OACTe"
],
[
"Piotto",
"G.",
"",
"Padua Univ."
],
[
"Milone",
"A. P.",
"",
"Padua\n Univ."
],
[
"Bedin",
"L. R.",
"",
"Space Telescope Inst."
],
[
"Anderson",
"J.",
"",
"Rice Univ."
]
] | [
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] |
711.3824 | Csaba Kiss | Cs. Kiss, A. Pal, Th.G. Mueller, P. Abraham | The impact of main belt asteroids on infrared--submillimetre photometry
and source counts | accepted for publication in Astronomy & Astrophysics; Additional
material (appendices) and the related web-interface can be found at:
"http://kisag.konkoly.hu/solarsystem/irsam.html" | null | 10.1051/0004-6361:20078574 | null | astro-ph | null | <<>> Among the components of the infrared and submillimetre sky background,
the closest layer is the thermal emission of dust particles and minor bodies in
the Solar System. This contribution is especially important for current and
future infrared and submillimetre space instruments --like those of Spitzer,
Akari and Herschel -- and must be characterised by a reliable statistical
model. <<>> We describe the impact of the thermal emission of main belt
asteroids on the 5...1000um photometry and source counts, for the current and
future spaceborne and ground-based instruments, in general, as well as for
specific dates and sky positions. <<>> We used the statistical asteroid model
(SAM) to calculate the positions of main belt asteroids down to a size of 1km,
and calculated their infrared and submillimetre brightness using the standard
thermal model. Fluctuation powers, confusion noise values and number counts
were derived from the fluxes of individual asteroids. <<>> We have constructed
a large database of infrared and submillimetre fluxes for SAM asteroids with a
temporal resolution of 5 days, covering the time span January 1, 2000 --
December 31, 2012. Asteroid fluctuation powers and number counts derived from
this database can be obtained for a specific observation setup via our public
web-interface. <<>> Current space instruments working in the mid-infrared
regime (Akari and Spitzer Space Telescopes) are affected by asteroid confusion
noise in some specific areas of the sky, while the photometry of space infrared
and submillimetre instruments in the near future (e.g. Herschel and Planck
Space Observatories) will not be affected by asteroids. Faint main belt
asteroids might also be responsible for most of the zodiacal emission
fluctuations near the ecliptic.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 08:22:42 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Nov 2007 21:20:08 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kiss",
"Cs.",
""
],
[
"Pal",
"A.",
""
],
[
"Mueller",
"Th. G.",
""
],
[
"Abraham",
"P.",
""
]
] | [
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-0.0623087399,
-0.0269096866,
0.0050388924,
-0.0608137585,
0.0359329768,
-0.103687726,
0.0097707799,
-0.025468098,
-0.0647113919,
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] |
711.3825 | Majid Mohammadi | M.Mohammadi, M.H.Naderi, M.Soltanolkotabi | Effects of a classical homogeneous gravitational field on the
cavity-field entropy and generation of the Schrodinger-cat states in the
Jaynes-Cummings model | 15 pages, 9figures | null | 10.1140/epjd/e2008-00046-x | null | quant-ph | null | In this paper, we examine the effects of the gravitational field on the
dynamical evolution of the cavity-field entropy and the creation of the
Schrodinger-cat state in the Jaynes-Cummings model. We consider a moving
two-level atom interacting with a single mode quantized cavity-field in the
presence of a classical homogeneous gravitational field. Based on an su(2)
algebra, as the dynamical symmetry group of the model, we derive the reduced
density operator of the cavity-field which includes the effects of the atomic
motion and the gravitational field. Also, we obtain the exact solution and the
approximate solution for the system-state vector, and examine the atomic
dynamics. By considering the temporal evolution of the cavity-field entropy as
well as the dynamics of the Q-function of the cavity-field we study the effects
of the gravitational field on the generation of the Schrodinger-cat states of
the cavity-field by using the Q-function, field entropy and approximate
solution for the system-state vector. The results show that the gravitational
field destroys the generation of the Schrodinger-cat state of the cavity-field.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 08:54:43 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Mohammadi",
"M.",
""
],
[
"Naderi",
"M. H.",
""
],
[
"Soltanolkotabi",
"M.",
""
]
] | [
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711.3826 | Stefan Kirchner | Stefan Kirchner and Qimiao Si | Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo
approach | 2 pages, 2 figures, to appear in the proceedings of SCES 07 (the
international conference on strongly correlated electron systems 2007) | Physica B (2007) | 10.1016/j.physb.2007.10.298 | null | cond-mat.str-el | null | The Bose-Fermi Kondo model captures the physics of the destruction of Kondo
screening, which is of extensive current interest to the understanding of
quantum critical heavy fermion metals. There are presently limited theoretical
methods to study the finite temperature properties of the Bose-Fermi Kondo
model. Here we provide some of the consistency checks on the cluster-Monte
Carlo method, which we have recently applied to the Ising-anisotropic
Bose-Fermi Kondo model. We show that the method correctly captures the scaling
properties of the Kondo phase, as well as those on approach to the
Kondo-destroying quantum critical point. We establish that comparable results
are obtained when the Kondo couplings are placed at or away from a Toulouse
point.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 00:49:07 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kirchner",
"Stefan",
""
],
[
"Si",
"Qimiao",
""
]
] | [
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] |
711.3827 | Xueliang Li | Xueliang Li, Jie Zheng | Monochromatic and heterochromatic subgraph problems in a randomly
colored graph | 11 pages | null | null | null | math.CO | null | Let $K_n$ be the complete graph with $n$ vertices and $c_1, c_2, ..., c_r$ be
$r$ different colors. Suppose we randomly and uniformly color the edges of
$K_n$ in $c_1, c_2, ..., c_r$. Then we get a random graph, denoted by
$\mathcal{K}_n^r$. In the paper, we investigate the asymptotic properties of
several kinds of monochromatic and heterochromatic subgraphs in
$\mathcal{K}_n^r$. Accurate threshold functions in some cases are also
obtained.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 09:36:46 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Li",
"Xueliang",
""
],
[
"Zheng",
"Jie",
""
]
] | [
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711.3828 | Jarek Kedra | Jarek Kedra | Symplectically hyperbolic manifolds | 18 pages; preliminary version | null | null | null | math.SG math.GT | null | A symplectic form is called hyperbolic if its pull-back to the universal
cover is a differential of a bounded one-form. The present paper is concerned
with the properties and constructions of manifolds admitting hyperbolic
symplectic forms. The main results are:
* If a symplectic form represents a bounded cohomology class then it is
hyperbolic.
* The symplectic hyperbolicity is equivalent to a certain isoperimetric
inequality.
* The fundamental group of symplectically hyperbolic manifold is
non-amenable.
We also construct hyperbolic symplectic forms on certain bundles and
Lefschetz fibrations, discuss the dependenc of the symplectic hyperbolicity on
the fundamental group and discuss some properties of the group of symplectic
diffeomorphisms of a symplectically hyperbolic manifold.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 20:03:30 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Kedra",
"Jarek",
""
]
] | [
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711.3829 | Pietro Faccioli | M.C. Tichy and P. Faccioli | The Scalar Glueball in the Instanton Vacuum | Version accepted for publication on EPJ C | null | null | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the contribution of instantons to the binding and the mass of the
lightest scalar glueball, in gluondynamics. We show that the short-range
correlations introduced by such non-perturbative vacuum fluctuations are
sufficient to give raise to a scalar glueball bound-state, with mass in good
agreement with the results of recent lattice calculations.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 10:08:21 GMT"
},
{
"version": "v2",
"created": "Tue, 22 Apr 2008 10:45:05 GMT"
},
{
"version": "v3",
"created": "Sat, 18 Jul 2009 20:47:53 GMT"
}
] | 2009-07-18T00:00:00 | [
[
"Tichy",
"M. C.",
""
],
[
"Faccioli",
"P.",
""
]
] | [
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711.383 | Parimal Kar | S. Trebst and U.H.E. Hansmann | Optimized Folding Simulations of Protein A | 6 pages, 8 figures | Eur. Phys. J. E 24, 311 (2007). | 10.1140/epje/i2007-10241-1 | null | cond-mat.stat-mech | null | We describe optimized parallel tempering simulations of the 46-residue
B-fragment of protein A. Native-like configurations with a root-mean-square
deviation of approximately 3A to the experimentally determined structure
(Protein Data Bank identifier 1BDD) are found. However, at biologically
relevant temperatures such conformations appear with only about 10% frequency
in our simulations. Possible short comings in our energy function are
discussed.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 20:59:43 GMT"
},
{
"version": "v2",
"created": "Sat, 29 Dec 2007 20:17:28 GMT"
}
] | 2008-05-05T00:00:00 | [
[
"Trebst",
"S.",
""
],
[
"Hansmann",
"U. H. E.",
""
]
] | [
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] |
711.3831 | Andreas Nunnenkamp | Andreas Nunnenkamp, Ana Maria Rey, Keith Burnett | Generation of macroscopic superposition states in ring superlattices | 9 pages, 10 figures; minor corrections | Phys. Rev. A 77, 023622 (2008) | 10.1103/PhysRevA.77.023622 | null | cond-mat.other quant-ph | null | Ultracold bosons in rotating ring lattices have previously been shown to form
macroscopic superpositions of different quasi-momentum states. We demonstrate
that the generation of such kind of states using slightly non-uniform ring
lattices has several advantages: the energy gap decreases less severely with
the number of particles, the sensitivity to detunings from the critical
rotation frequency is reduced, and the scheme is not limited to commensurate
filling. We show that different quasi-momentum states can be distinguished in
time-of-flight absorption imaging and propose to probe correlations via the
many-body oscillations induced by a sudden change in the rotation frequency.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 10:19:40 GMT"
},
{
"version": "v2",
"created": "Thu, 21 Feb 2008 16:48:06 GMT"
}
] | 2008-02-27T00:00:00 | [
[
"Nunnenkamp",
"Andreas",
""
],
[
"Rey",
"Ana Maria",
""
],
[
"Burnett",
"Keith",
""
]
] | [
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] |
711.3832 | Alexey Muranov | Tuna Alt{\i}nel and Alexey Muranov | Interpr\'etation de l'Arithm\'etique dans certains groupes de
permutations affines par morceaux d'un intervalle | v3: French, 29 pages, 3 figures, minor corrections; v2: 29 pages, 3
figures, corrections, added references, no essential changes; v1: 28 pages, 3
figures | Journal of the Institute of Mathematics of Jussieu, Volume 8,
Issue 04, October 2009, pp. 623--652 | 10.1017/S1474748009000024 | null | math.LO math.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Arithmetic is interpreted in all the groups of Richard Thompson and
Graham Higman, as well as in other groups of piecewise affine permutations of
an interval which generalize the groups of Thompson and Higman. In particular,
the elementary theories of all these groups are undecidable. Moreover,
Thompson's group $F$ and some of its generalizations interpret the Arithmetic
without parameters.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 15:15:49 GMT"
},
{
"version": "v2",
"created": "Mon, 7 Jul 2008 17:59:01 GMT"
},
{
"version": "v3",
"created": "Sat, 12 Sep 2009 08:23:44 GMT"
}
] | 2022-03-28T00:00:00 | [
[
"Altınel",
"Tuna",
""
],
[
"Muranov",
"Alexey",
""
]
] | [
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] |
711.3833 | Shahram Jalalzadeh | P. Pedram, M. Mirzaei, S. Jalalzadeh and S. S. Gousheh | Perfect fluid quantum Universe in the presence of negative cosmological
constant | 22 pages, 13 figures, 4 table, to appear in GRG | Gen.Rel.Grav.40:1663-1681,2008 | 10.1007/s10714-007-0566-4 | null | gr-qc | null | We present perfect fluid Friedmann-Robertson-Walker quantum cosmological
models in the presence of negative cosmological constant. In this work the
Schutz's variational formalism is applied for radiation, dust, cosmic string,
and domain wall dominated Universes with positive, negative, and zero constant
spatial curvature. In this approach the notion of time can be recovered. These
give rise to Wheeler-DeWitt equations for the scale factor. We find their
igenvalues and eigenfunctions by using Spectral Method. After that, we use the
eigenfunctions in order to construct wave packets for each case and evaluate
the time-dependent expectation value of the scale factors, which are found to
oscillate between finite maximum and minimum values. Since the expectation
values of the scale factors never tends to the singular point, we have an
initial indication that these models may not have singularities at the quantum
level.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 12:20:56 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Pedram",
"P.",
""
],
[
"Mirzaei",
"M.",
""
],
[
"Jalalzadeh",
"S.",
""
],
[
"Gousheh",
"S. S.",
""
]
] | [
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] |
711.3834 | Jonathan Lilly | Jonathan M. Lilly and Sofia C. Olhede | On the Analytic Wavelet Transform | null | Lilly, J. M., and S. C. Olhede (2010). On the analytic wavelet
transform. IEEE Transactions on Information Theory, 56 (8), 4135--4156 | 10.1109/TIT.2010.2050935 | null | math.ST math.FA stat.ME stat.TH | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An exact and general expression for the analytic wavelet transform of a
real-valued signal is constructed, resolving the time-dependent effects of
non-negligible amplitude and frequency modulation. The analytic signal is first
locally represented as a modulated oscillation, demodulated by its own
instantaneous frequency, and then Taylor-expanded at each point in time. The
terms in this expansion, called the instantaneous modulation functions, are
time-varying functions which quantify, at increasingly higher orders, the local
departures of the signal from a uniform sinusoidal oscillation. Closed-form
expressions for these functions are found in terms of Bell polynomials and
derivatives of the signal's instantaneous frequency and bandwidth. The analytic
wavelet transform is shown to depend upon the interaction between the signal's
instantaneous modulation functions and frequency-domain derivatives of the
wavelet, inducing a hierarchy of departures of the transform away from a
perfect representation of the signal. The form of these deviation terms
suggests a set of conditions for matching the wavelet properties to suit the
variability of the signal, in which case our expressions simplify considerably.
One may then quantify the time-varying bias associated with signal estimation
via wavelet ridge analysis, and choose wavelets to minimize this bias.
| [
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{
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"created": "Sat, 15 Oct 2011 16:33:06 GMT"
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] | 2011-10-18T00:00:00 | [
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711.3835 | Angelo Loinger | Angelo Loinger | Einsteinian Manifolds and Gravitational Waves | 5 pages, LaTeX | null | null | null | physics.gen-ph | null | The full relativity of the concepts of motion and rest, which is
characteristic of the Einsteinian general relativity (GR), does not allow the
generation of physical gravitational waves (GW's). -- The undulatory nature of
a metric tensor is not an invariant property, but depends on the coordinate
frame. -- An undulation of a metric tensor is propagated with a speed that can
have any value between zero and infinite.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 12:43:22 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Loinger",
"Angelo",
""
]
] | [
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711.3836 | Chengming Bai | Yi-Fang Kang, Cheng-Ming Bai | Refinement of Ado's Theorem in Low Dimensions and Application in Affine
Geometr | 11 pages, 4 tables, appear in Communications in Algebra | Communications in Algebra 36 (2008) 82-93 | 10.1080/00927870701649382 | null | math.QA math-ph math.MP | null | In this paper, we construct a faithful representation with the lowest
dimension for every complex Lie algebra in dimension $\leq 4$. In particular,
in our construction, in the case that the faithful representation has the same
dimension of the Lie algebra, it can induce an \'etale affine representation
with base zero which has a natural and simple form and gives a compatible
left-symmetric algebra on the Lie algebra. Such affine representations do not
contain any nontrivial one-parameter subgroups of translation.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 13:45:39 GMT"
}
] | 2008-03-03T00:00:00 | [
[
"Kang",
"Yi-Fang",
""
],
[
"Bai",
"Cheng-Ming",
""
]
] | [
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711.3837 | Zhijian Wang | Zhijian Wang, Weidong Luo | Coevolution of Mercy and Altruistic Cooperation | null | null | null | ICSSZJU_WL_071122 | nlin.AO nlin.PS | null | Besides altruistic punishment and group selection, we argue that, mercy can
lead to altruistic cooperation. Modeling the micro economic behavior of the
mercy, with two alleles of genes (Cooperation or Defection & Mercy or No mercy)
agents in a network, we present the computational simulation results in the
spatiotemporal evolution game theory frame to prove the above argument. Here,
mercy (or as 'Love thy neighbors') means, the agents, with mercy preference,
might share his own fitness with his poorest neighbor who poorer than himself.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 13:56:20 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Wang",
"Zhijian",
""
],
[
"Luo",
"Weidong",
""
]
] | [
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711.3838 | Yanrui Liu | Yan-Rui Liu, Shi-Lin Zhu | The \Delta contribution to the parity-violating nucleon-nucleon force | 5 pages, 2 figures. The version appeared in Chinese Physics C (HEP &
NP) | Chin.Phys.32:700-704,2008 | 10.1088/1674-1137/32/9/005 | null | nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Because the nucleon may be excited and transformed into a virtual $\Delta$
resonance easily, we consider the decuplet contribution to the parity-violating
(PV) nucleon-nucleon interaction in the chiral effective field theory. The
effective PV nucleon-nucleon potential is derived without introducing any
unknown coupling constants.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 14:04:20 GMT"
},
{
"version": "v2",
"created": "Mon, 25 Aug 2008 15:40:03 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Liu",
"Yan-Rui",
""
],
[
"Zhu",
"Shi-Lin",
""
]
] | [
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] |
711.3839 | Valy Rousseau | V.G. Rousseau | The Stochastic Green Function (SGF) algorithm | 12 pages, 5 figures | Phys. Rev. E 77, 056705 (2008) | 10.1103/PhysRevE.77.056705 | null | cond-mat.stat-mech | null | We present the Stochastic Green Function (SGF) algorithm designed for bosons
on lattices. This new quantum Monte Carlo algorithm is independent of the
dimension of the system, works in continuous imaginary time, and is exact (no
error beyond statistical errors). Hamiltonians with several species of bosons
(and one-dimensional Bose-Fermi Hamiltonians) can be easily simulated. Some
important features of the algorithm are that it works in the canonical ensemble
and gives access to n-body Green functions.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 14:55:16 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Dec 2007 11:03:49 GMT"
},
{
"version": "v3",
"created": "Tue, 29 Apr 2008 19:17:03 GMT"
}
] | 2008-11-03T00:00:00 | [
[
"Rousseau",
"V. G.",
""
]
] | [
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] |
711.384 | G\"unter Stolz | Robert Sims and G\"unter Stolz | Eigenvalue Correlations in Continuum one-dimensional Anderson Models | This paper has been withdrawn | null | null | null | math-ph math.MP | null | The methods used to prove the main result must be incorrect, as they can be
used to arrive at a contradiction with previously known results. Thus the paper
was withdrawn.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 15:09:46 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Feb 2008 15:19:24 GMT"
}
] | 2008-02-26T00:00:00 | [
[
"Sims",
"Robert",
""
],
[
"Stolz",
"Günter",
""
]
] | [
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711.3841 | Silvio Capobianco | Silvio Capobianco | On the Induction Operation for Shift Subspaces and Cellular Automata as
Presentations of Dynamical Systems | 20 pages, no figures. Presented at LATA 2008. Extended version,
submitted to Information and Computation | null | null | null | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider continuous, translation-commuting transformations of compact,
translation-invariant families of mappingsfrom finitely generated groups into
finite alphabets. It is well-known that such transformations and spaces can be
described "locally" via families of patterns and finitary functions; such
descriptions can be re-used on groups larger than the original, usually
defining non-isomorphic structures. We show how some of the properties of the
"induced" entities can be deduced from those of the original ones, and vice
versa; then, we show how to "simulate" the smaller structure into the larger
one, and obtain a characterization in terms of group actions for the dynamical
systems admitting of presentations via structures as such. Special attention is
given to the class of sofic shifts.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 15:13:26 GMT"
},
{
"version": "v2",
"created": "Mon, 16 Jun 2008 15:44:59 GMT"
}
] | 2008-06-16T00:00:00 | [
[
"Capobianco",
"Silvio",
""
]
] | [
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] |
711.3842 | Georgi Raikov | Philippe Briet, Georgi Raikov, Eric Soccorsi | Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip | 29 pages | null | null | null | math-ph math.MP | null | We consider a 2D Schroedinger operator H0 with constant magnetic field, on a
strip of finite width. The spectrum of H0 is absolutely continuous, and
contains a discrete set of thresholds. We perturb H0 by an electric potential V
which decays in a suitable sense at infinity, and study the spectral properties
of the perturbed operator H = H0 + V . First, we establish a Mourre estimate,
and as a corollary prove that the singular continuous spectrum of H is empty,
and any compact subset of the complement of the threshold set may contain at
most a finite set of eigenvalues of H, each of them having a finite
multiplicity. Next, we introduce the Krein spectral shift function (SSF) for
the operator pair (H,H0). We show that this SSF is bounded on any compact
subset of the complement of the threshold set, and is continuous away from the
threshold set and the eigenvalues of H. The main results of the article concern
the asymptotic behaviour of the SSF at the thresholds, which is described in
terms of the SSF for a pair of effective Hamiltonians.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 15:35:16 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Briet",
"Philippe",
""
],
[
"Raikov",
"Georgi",
""
],
[
"Soccorsi",
"Eric",
""
]
] | [
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711.3843 | Anton Zeitlin | Anton M. Zeitlin | SFT-inspired Algebraic Structures in Gauge Theories | LaTeX2e, 26 pages; minor revisions after referee's remarks, typos
corrected, title changed, references added, J. Mathematical Physics, in press | J. Math. Phys. 50, 063501 (2009) | 10.1063/1.3142964 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider gauge theories in a String Field Theory-inspired formalism. The
constructed algebraic operations lead in particular to homotopy algebras of the
related BV theories. We discuss invariant description of the gauge fixing
procedure and special algebraic features of gauge theories coupled to matter
fields.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 15:56:58 GMT"
},
{
"version": "v2",
"created": "Fri, 22 Feb 2008 04:17:28 GMT"
},
{
"version": "v3",
"created": "Wed, 6 May 2009 18:49:00 GMT"
}
] | 2009-06-05T00:00:00 | [
[
"Zeitlin",
"Anton M.",
""
]
] | [
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711.3844 | Tracy Beck | Tracy L. Beck (1 and 2), Peter J. McGregor (3), Michihiro Takami (4
and 5) and Tae-Soo Pyo (4), ((1) Gemini North Observatory Hilo, HI, (2) Space
Telescope Science Institute, Baltimore, MD, (3) Research School of Astronomy
& Astrophysics, Australian National University, Australia, (4) Subaru
Telescope, Hilo, HI, (5) Institute of Astronomy & Astrophysics, Academia
Sinica, Taipei, Taiwan, R. O. C.) | Spatially Resolved Molecular Hydrogen Emission in the Inner 200AU
Environments of Classical T Tauri Stars | 50 pages, 13 Figures. Accepted for publication in the Astrophysical
Journal. Full Resolution paper available at:
http://www.astro.sunysb.edu/tracy/pubs/Beck07.pdf | null | 10.1086/527528 | null | astro-ph | null | We present 2.0-2.4micron integral field spectroscopy at adaptive optics
spatial resolution (~0.''1) obtained with the Near-infrared Integral Field
Spectrograph (NIFS) at Gemini North Observatory of six Classical T Tauri stars:
T Tau, DG Tau, XZ Tau, HL Tau, RW Aur and HV Tau C. In all cases, the v=1-0
S(1) (2.12 micron) emission is detected at spatially extended distances from
the central stars. The bulk of the H_2 emission is typically not spatially
coincident with the location of continuum flux. Multiple transitions detected
in the K-band spectra show that H_2 level populations are typical of gas in
thermal equilibrium with excitation temperatures in the 1800K-2300 K range.
Three of the stars have H_2 velocity profiles that are centered at the stellar
radial velocity, and three show velocity shifts with respect to the system.
Each of the stars studied here show observed excitation temperatures, spatial
extents, and kinematics of the H_2 that are most consistent with shock excited
emission from the inner regions of the known Herbig-Haro energy flows or from
wide-angle winds encompassing the outflows rather than predominantly from UV or
X-ray stimulated emission from the central stars. The data presented in this
study highlights the sensitivity of adaptive optics-fed integral field
spectroscopy for spatially resolving emission line structures in the
environments of bright young stars.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 16:05:20 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Beck",
"Tracy L.",
"",
"1 and 2"
],
[
"McGregor",
"Peter J.",
"",
"4\n and 5"
],
[
"Takami",
"Michihiro",
"",
"4\n and 5"
],
[
"Pyo",
"Tae-Soo",
""
]
] | [
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711.3845 | Goncalo Tabuada | Goncalo Tabuada | Differential graded versus Simplicial categories | 22 pages | null | null | null | math.KT math.AT | null | We construct a zig-zag of Quillen adjunctions between the homotopy theories
of differential graded and simplicial categories. In an intermediate step we
generalize Shipley-Schwede's work on connective DG algebras by extending the
Dold-Kan correspondence to a Quillen equivalence between categories enriched
over positive graded chain complexes and simplicial k-modules.
As an application we obtain a conceptual explanation of Simpson's homotopy
fiber construction.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 16:05:43 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Tabuada",
"Goncalo",
""
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711.3846 | Richard J. Furnstahl | R.J. Furnstahl | Similarity Renormalization Group for Few-Body Systems | 3 pages, 6 figures. To appear in the proceedings of the 20th European
Conference on Few-Body Problems in Physics (EFB20), Pisa, September 10-14,
2007 | Few Body Syst.44:133-136,2008 | 10.1007/s00601-008-0274-y | null | nucl-th | null | Internucleon interactions evolved via flow equations yield soft potentials
that lead to rapid variational convergence in few-body systems.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 16:09:08 GMT"
}
] | 2009-01-16T00:00:00 | [
[
"Furnstahl",
"R. J.",
""
]
] | [
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711.3847 | Tord Riemann | Stefano Actis (RWTH Aachen), Michal Czakon (U. Wuerzburg), Janusz
Gluza (Silesian U. Katowice), Tord Riemann (DESY) | Virtual Hadronic and Leptonic Contributions to Bhabha Scattering | 4 pages, 5 figures; v.2 with revised text version for PRL, results
completely unchanged | Phys.Rev.Lett.100:131602,2008 | 10.1103/PhysRevLett.100.131602 | DESY 07-205, PITHA 07/19, SFB/CPP-07-81, HEPTOOLS 07-036 | hep-ph | null | Using dispersion relations, we derive the complete virtual QED contributions
to Bhabha scattering due to vacuum polarization effects in photon propagation.
We apply our result to hadronic corrections and to heavy lepton and top quark
loop insertions. We give the first complete estimate of their net numerical
effects for both small and large angle scattering at typical beam energies of
meson factories, LEP, and the ILC. The effects turn out to be smaller, in most
cases, than those corresponding to electron loop insertions, but stay, with
amounts of typically one per mille, of relevance for precision experiments.
Hadronic corrections themselves are typically about 2-3 times larger than those
of intermediate muon pairs (the largest heavy leptonic terms).
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 16:11:58 GMT"
},
{
"version": "v2",
"created": "Wed, 21 May 2008 17:00:16 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Actis",
"Stefano",
"",
"RWTH Aachen"
],
[
"Czakon",
"Michal",
"",
"U. Wuerzburg"
],
[
"Gluza",
"Janusz",
"",
"Silesian U. Katowice"
],
[
"Riemann",
"Tord",
"",
"DESY"
]
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] |
711.3848 | Alberto Sicilia | Alberto Sicilia, Jeferson J. Arenzon, Alan J. Bray, Leticia F.
Cugliandolo | Geometric properties of two-dimensional coarsening with weak disorder | 6 pages, 6 figures | EPL 82, 10001 (2008) | 10.1209/0295-5075/82/10001 | null | cond-mat.dis-nn cond-mat.stat-mech | null | The domain morphology of weakly disordered ferromagnets, quenched from the
high-temperature phase to the low-temperature phase, is studied using numerical
simulations. We find that the geometrical properties of the coarsening domain
structure, e.g., the distributions of hull enclosed areas and domain perimeter
lengths, are described by a scaling phenomenology in which the growing domain
scale R(t) is the only relevant parameter. Furthermore, the scaling functions
have forms identical to those of the corresponding pure system, extending the
'super-universality' property previously noted for the pair correlation
function.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 14:36:53 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sicilia",
"Alberto",
""
],
[
"Arenzon",
"Jeferson J.",
""
],
[
"Bray",
"Alan J.",
""
],
[
"Cugliandolo",
"Leticia F.",
""
]
] | [
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] |
711.3849 | Dmitrii Zinoviev | Dmitrii Zinoviev | Relation of Orbital Integrals on SO(5) and PGL(2) | 44 pages | Israel Journal of Mathematics, 106 (1998), pp. 29--78 | null | null | math.RT | null | We relate the "Fourier" orbital integrals of corresponding spherical
functions on the p-adic groups SO(5) and PGL(2). The correspondence is defined
by a "lifting" of representations of these groups. This is a local "fundamental
lemma" needed to compare the geometric sides of the global Fourier summation
formulae (or relative trace formulae) on these two groups. This comparison
leads to conclusions about a well known lifting of representations from PGL(2)
to PGSp(4). This lifting produces counter examples to the Ramanujan conjecture.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:39:49 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Zinoviev",
"Dmitrii",
""
]
] | [
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] |
711.385 | Sumanta Das | G.S.Agarwal, Sumanta Das | Electromagnetic Field Induced Modification of Branching Ratios for
Emission in Structured Vacuum | 7 pages, 6 figures, Submitted to New Journal of Physics | null | 10.1088/1367-2630/10/1/013014 | null | quant-ph | null | We report a fundamental effect of the electromagnetic field induced
modification of the branching ratios for emission into several final states.
The modifications are especially significant if the vacuum into which the atom
is radiating has a finite spectral width comparable with the separation of the
final states. This is easily realizable in cavity QED. Further our results are
quite generic and are applicable to any system interacting with a structured
reservoir.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:54:51 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Agarwal",
"G. S.",
""
],
[
"Das",
"Sumanta",
""
]
] | [
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] |
711.3851 | Robert Milson | Robert Milson, Nicos Pelavas | The curvature homogeneity bound for Lorentzian four-manifolds | 24 pages, streamlined version | null | null | null | gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that a four-dimensional Lorentzian manifold that is curvature
homogeneous of order 3, or CH_3 for short, is necessarily locally homogeneous.
We also exhibit and classify four-dimensional Lorentzian, CH_2 manifolds that
are not homogeneous. The resulting metrics belong to the class of null
electromagnetic radiation, type N solutions on an anti-de Sitter background.
These findings prove that the four-dimensional Lorentzian Singer number
$k_{1,3}=3$, falsifying some recent conjectures by Gilkey. We also prove that
invariant classification for these proper CH_2 solutions requires
$\nabla^{(7)}R$, and that these are the unique metrics requiring the seventh
order.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:59:06 GMT"
},
{
"version": "v2",
"created": "Mon, 10 Mar 2008 16:16:05 GMT"
},
{
"version": "v3",
"created": "Sat, 21 Jun 2008 14:56:29 GMT"
}
] | 2008-06-21T00:00:00 | [
[
"Milson",
"Robert",
""
],
[
"Pelavas",
"Nicos",
""
]
] | [
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] |
711.3852 | Jean Bertoin | Jean Bertoin (DMA, Pma) | The structure of the allelic partition of the total population for
Galton-Watson processes with neutral mutations | This version corrects a significant mistake in the first one | null | null | null | math.PR q-bio.PE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a (sub) critical Galton-Watson process with neutral mutations
(infinite alleles model), and decompose the entire population into clusters of
individuals carrying the same allele. We specify the law of this allelic
partition in terms of the distribution of the number of clone-children and the
number of mutant-children of a typical individual. The approach combines an
extension of Harris representation of Galton-Watson processes and a version of
the ballot theorem. Some limit theorems related to the distribution of the
allelic partition are also given.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:55:52 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Jan 2008 16:31:07 GMT"
},
{
"version": "v3",
"created": "Fri, 28 Aug 2009 19:37:01 GMT"
}
] | 2009-08-28T00:00:00 | [
[
"Bertoin",
"Jean",
"",
"DMA, Pma"
]
] | [
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711.3853 | Nathalie Picque | Julien Mandon (PPM), Evgeni Sorokin (TU WIEN), Irina T. Sorokina
(NTNU), Guy Guelachvili (PPM), Nathalie Picqu\'e (PPM) | Supercontinua for high resolution absorption multiplex infrared
spectroscopy | Optics Letters (2007) in press | Optics Letters 33, 3 (2008) 285-287 | 10.1364/OL.33.000285 | null | physics.optics | null | Supercontinua generated in highly non-linear fibers by ultrashort-pulse
lasers can be used for high resolution Fourier transform absorption
spectroscopy. The practical advantages of these bright ultrabroadband light
sources for spectroscopy are reported in the near-infrared region. A Cr^4+:YAG
femtosecond laser broadened by an extruded soft-glass photonic crystal fiber,
emitting from 1200 to 2200 nm and from 675 to 950 nm, provides a spectral
radiance being 1x10^5 times higher than that of a 3000 K blackbody and 10^2
times higher than that of a synchrotron radiation. The C_2H_2 and NH_3 overtone
spectra are recorded using this source within a few seconds.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:57:55 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Mandon",
"Julien",
"",
"PPM"
],
[
"Sorokin",
"Evgeni",
"",
"TU WIEN"
],
[
"Sorokina",
"Irina T.",
"",
"NTNU"
],
[
"Guelachvili",
"Guy",
"",
"PPM"
],
[
"Picqué",
"Nathalie",
"",
"PPM"
]
] | [
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] |
711.3854 | Motohiko Kusakabe | Motohiko Kusakabe, Toshitaka Kajino, Richard N. Boyd, Takashi Yoshida
and Grant J. Mathews | A Simultaneous Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis
Problems from a Long-Lived Negatively-Charged Leptonic Particle | 6 pages, 2 figures, to be published in Physical Review D | Phys.Rev.D76:121302,2007 | 10.1103/PhysRevD.76.121302 | null | astro-ph | null | The $^6$Li abundance observed in metal poor halo stars exhibits a plateau
similar to that for $^7$Li suggesting a primordial origin. However, the
observed abundance of $^6$Li is a factor of $10^3$ larger and that of $^7$Li is
a factor of 3 lower than the abundances predicted in the standard big bang when
the baryon-to-photon ratio is fixed by WMAP. Here we show that both of these
abundance anomalies can be explained by the existence of a long-lived massive,
negatively-charged leptonic particle during nucleosynthesis. Such particles
would capture onto the synthesized nuclei thereby reducing the reaction Coulomb
barriers and opening new transfer reaction possibilities, and catalyzing a
second round of big bang nucleosynthesis. This novel solution to both of the Li
problems can be achieved with or without the additional effects of stellar
destruction.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 17:59:05 GMT"
}
] | 2008-12-18T00:00:00 | [
[
"Kusakabe",
"Motohiko",
""
],
[
"Kajino",
"Toshitaka",
""
],
[
"Boyd",
"Richard N.",
""
],
[
"Yoshida",
"Takashi",
""
],
[
"Mathews",
"Grant J.",
""
]
] | [
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] |
711.3855 | Nathalie Picque | Herv\'e Herbin (PPM), Robert Farrenq (PPM), Guy Guelachvili (PPM),
Nathalie Picqu\'e (PPM) | Concentration-modulation FT emission spectroscopy of TiCl_4/He plasma.
Analysis of the C ^4\Delta- X ^4 \Phi \Delta v=0 perturbed transitions of
TiCl | null | Dans Fourier Transform Spectroscopy/Hyperspectral Imaging and
Sounding of the Environment Topical Meetings on CD-ROM - Alexandria, VA :
\'Etats-Unis d'Am\'erique (2005) | null | null | physics.chem-ph physics.optics | null | A TiCl_4/He plasma is observed by high resolution double-modulation FTS using
concentration-modulation as a selective detection method. Analysis of the C
^4\Delta- X ^4 \Phi \Delta v=0 transitions of ^48Ti^35Cl reveals perturbations
affecting the C ^4\Delta_{1/2} sub-state.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 18:01:44 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Herbin",
"Hervé",
"",
"PPM"
],
[
"Farrenq",
"Robert",
"",
"PPM"
],
[
"Guelachvili",
"Guy",
"",
"PPM"
],
[
"Picqué",
"Nathalie",
"",
"PPM"
]
] | [
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] |
711.3856 | Gusztav Morvai | Gusztav Morvai and Benjamin Weiss | Forward estimation for ergodic time series | null | Ann. Inst. H. Poincare Probab. Statist. 41 (2005), no. 5, 859--870 | 10.1016/j.anihpb.2004.07.002 | null | math.PR cs.IT math.IT | null | The forward estimation problem for stationary and ergodic time series
$\{X_n\}_{n=0}^{\infty}$ taking values from a finite alphabet ${\cal X}$ is to
estimate the probability that $X_{n+1}=x$ based on the observations $X_i$,
$0\le i\le n$ without prior knowledge of the distribution of the process
$\{X_n\}$. We present a simple procedure $g_n$ which is evaluated on the data
segment $(X_0,...,X_n)$ and for which, ${\rm error}(n) = |g_{n}(x)-P(X_{n+1}=x
|X_0,...,X_n)|\to 0$ almost surely for a subclass of all stationary and ergodic
time series, while for the full class the Cesaro average of the error tends to
zero almost surely and moreover, the error tends to zero in probability.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 19:03:29 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Morvai",
"Gusztav",
""
],
[
"Weiss",
"Benjamin",
""
]
] | [
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] |
711.3857 | Hacene Belbachir | Abdelhakim Aknouche, Fay\c{c}al Hamdi | Periodic Chandrasekhar recursions | null | null | null | null | stat.ME | null | This paper extends the Chandrasekhar-type recursions due to Morf, Sidhu, and
Kailath "Some new algorithms for recursive estimation in constant, linear,
discrete-time systems, IEEE Trans. Autom. Control 19 (1974) 315-323" to the
case of periodic time-varying state-space models. We show that the S-lagged
increments of the one-step prediction error covariance satisfy certain
recursions from which we derive some algorithms for linear least squares
estimation for periodic state-space models. The proposed recursions may have
potential computational advantages over the Kalman Filter and, in particular,
the periodic Riccati difference equation.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 19:11:33 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Aknouche",
"Abdelhakim",
""
],
[
"Hamdi",
"Fayçal",
""
]
] | [
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] |
711.3858 | Motohiko Kusakabe | Motohiko Kusakabe, Toshitaka Kajino, Richard N. Boyd, Takashi Yoshida
and Grant J. Mathews | The X^- Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis Problems | 18 pages, 7 figures, minor changes and references added, ApJ accepted | Astrophys. J. 680 (2008) 846 | 10.1086/588548 | null | astro-ph | null | The $^6$Li abundance observed in metal poor halo stars appears to exhibit a
plateau as a function of metallicity similar to that for $^7$Li, suggesting a
big bang origin. However, the inferred primordial abundance of $^6$Li is
$\sim$1000 times larger than that predicted by standard big bang
nucleosynthesis for the baryon-to-photon ratio inferred from the WMAP data.
Also, the inferred $^7$Li primordial abundance is 3 times smaller than the big
bang prediction. We here describe in detail a possible simultaneous solution to
both the problems of underproduction of $^6$Li and overproduction of $^7$Li in
big bang nucleosynthesis. This solution involves a hypothetical massive,
negatively-charged leptonic particle that would bind to the light nuclei
produced in big bang nucleosynthesis, but would decay long before it could be
detected. We consider only the $X$-nuclear reactions and assume that the effect
of decay products is negligible, as would be the case if lifetime were large or
the mass difference between the charged particle and its daughter were small.
An interesting feature of this paradigm is that, because the particle remains
bound to the existing nuclei after the cessation of the usual big bang nuclear
reactions, a second longer epoch of nucleosynthesis can occur among $X$-nuclei.
We confirm that reactions in which the hypothetical particle is transferred can
occur that greatly enhance the production of $^6$Li while depleting $^7$Li. We
also identify a new reaction that destroys large amounts of $^7$Be, and hence
reduces the ultimate $^7$Li abundance. Thus, big-bang nucleosynthesis in the
presence of these hypothetical particles, together with or without an event of
stellar processing, can simultaneously solve the two Li abundance problems.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 19:46:45 GMT"
},
{
"version": "v2",
"created": "Mon, 24 Mar 2008 13:00:28 GMT"
}
] | 2013-03-21T00:00:00 | [
[
"Kusakabe",
"Motohiko",
""
],
[
"Kajino",
"Toshitaka",
""
],
[
"Boyd",
"Richard N.",
""
],
[
"Yoshida",
"Takashi",
""
],
[
"Mathews",
"Grant J.",
""
]
] | [
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] |
711.3859 | Dan Knopf | Dan Knopf | Convergence and stability of locally \mathbb{R}^{N}-invariant solutions
of Ricci flow | The only revisions are improvements in exposition and notation. To
appear in Journal of Geometric Analysis | null | null | null | math.DG math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Important models for immortal solutions of Ricci flow that collapse with
bounded curvature come from locally G-invariant solutions on principal bundles,
where G is a nilpotent Lie group. In this paper, we establish convergence and
asymptotic stability, modulo smooth finite-dimensional center manifolds, of
certain R^{N}-invariant solutions. When the dimension of the total space is
three, these results are relevant to work of Lott classifying the asymptotic
behavior of all 3-dimensional Ricci flow solutions whose sectional curvatures
and diameters are respectively O(t^{-1}) and O(t^{1/2}).
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 22:04:33 GMT"
},
{
"version": "v2",
"created": "Thu, 5 Mar 2009 22:55:31 GMT"
}
] | 2009-03-06T00:00:00 | [
[
"Knopf",
"Dan",
""
]
] | [
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] |
711.386 | Marco Frasca | Marco Frasca | K\"allen-Lehman Representation and the Gluon Propagator | 4 pages, no figure. Numerical comparison with Aguilar and Natale
results (hep-ph/0408254) is given showing exceptionally good agreement | null | null | null | hep-th | null | We exploit the Kallen-Lehman representation of the two-point Green function
to prove that the gluon propagator cannot go to zero in the infrared limit. We
are able to derive also the functional form of it. This means that current
results on the lattice can be used to derive the scalar glueball spectrum to be
compared both with experiments and different aimed lattice computations.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 20:10:49 GMT"
},
{
"version": "v2",
"created": "Tue, 27 Nov 2007 19:06:47 GMT"
},
{
"version": "v3",
"created": "Sun, 2 Dec 2007 18:18:41 GMT"
},
{
"version": "v4",
"created": "Tue, 15 Jan 2008 09:48:03 GMT"
}
] | 2008-01-15T00:00:00 | [
[
"Frasca",
"Marco",
""
]
] | [
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711.3861 | Kamesh Munagala | Sudipto Guha, Kamesh Munagala and Peng Shi | Approximation Algorithms for Restless Bandit Problems | Merges two papers appearing in the FOCS '07 and SODA '09 conferences.
This final version has been submitted for journal publication | null | null | null | cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The restless bandit problem is one of the most well-studied generalizations
of the celebrated stochastic multi-armed bandit problem in decision theory. In
its ultimate generality, the restless bandit problem is known to be PSPACE-Hard
to approximate to any non-trivial factor, and little progress has been made
despite its importance in modeling activity allocation under uncertainty.
We consider a special case that we call Feedback MAB, where the reward
obtained by playing each of n independent arms varies according to an
underlying on/off Markov process whose exact state is only revealed when the
arm is played. The goal is to design a policy for playing the arms in order to
maximize the infinite horizon time average expected reward. This problem is
also an instance of a Partially Observable Markov Decision Process (POMDP), and
is widely studied in wireless scheduling and unmanned aerial vehicle (UAV)
routing. Unlike the stochastic MAB problem, the Feedback MAB problem does not
admit to greedy index-based optimal policies.
We develop a novel and general duality-based algorithmic technique that
yields a surprisingly simple and intuitive 2+epsilon-approximate greedy policy
to this problem. We then define a general sub-class of restless bandit problems
that we term Monotone bandits, for which our policy is a 2-approximation. Our
technique is robust enough to handle generalizations of these problems to
incorporate various side-constraints such as blocking plays and switching
costs. This technique is also of independent interest for other restless bandit
problems. By presenting the first (and efficient) O(1) approximations for
non-trivial instances of restless bandits as well as of POMDPs, our work
initiates the study of approximation algorithms in both these contexts.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 18:01:35 GMT"
},
{
"version": "v2",
"created": "Fri, 11 Apr 2008 13:42:55 GMT"
},
{
"version": "v3",
"created": "Sat, 12 Jul 2008 09:16:54 GMT"
},
{
"version": "v4",
"created": "Tue, 27 Jan 2009 17:07:14 GMT"
},
{
"version": "v5",
"created": "Tue, 3 Feb 2009 17:39:36 GMT"
}
] | 2009-02-03T00:00:00 | [
[
"Guha",
"Sudipto",
""
],
[
"Munagala",
"Kamesh",
""
],
[
"Shi",
"Peng",
""
]
] | [
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] |
711.3862 | Fei Han | Fei Han | Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character | 26 pages, some materials added and some typos are corrected | null | null | null | math.DG math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we give a quantum interpretation of the Bismut-Chern character
form (the loop space lifting of the Chern character form) as well as the Chern
character form associated to a complex vector bundle with connection over a
smooth manifold in the framework of supersymmetric quantum field theories
developed by Stolz and Teichner \cite{ST07}. We show that the Bismut-Chern
character form comes up via a loop-deloop process when one goes from $1|1$D
theory over a manifold down to a $0|1$D theory over its free loop space. Based
on our quantum interpretation of the Bismut-Chern character form and Chern
character form, we construct Chern character type maps for SUSY QFTs.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 22:44:39 GMT"
},
{
"version": "v2",
"created": "Tue, 10 Jun 2008 09:19:43 GMT"
},
{
"version": "v3",
"created": "Thu, 24 Jul 2008 06:43:35 GMT"
}
] | 2008-07-24T00:00:00 | [
[
"Han",
"Fei",
""
]
] | [
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711.3863 | Lassina Dembele Ph. D | Lassina Dembele and Steve Donnelly | Computing Hilbert modular forms over fields with nontrivial class group | null | null | null | null | math.NT math.AG | null | In previous work, the first author developed an algorithm for the computation
of Hilbert modular forms. In this paper, we extend this to all totally real
number fields of even degree and nontrivial class group. Using the algorithm
over $\Q(\sqrt{10})$ and $\Q(\sqrt{85})$ and their Hilbert class fields, we
present some new instances of the conjectural Eichler-Shimura construction for
totally real fields, and in particular find new examples of modular abelian
varieties with everywhere good reduction.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 16:24:10 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Dembele",
"Lassina",
""
],
[
"Donnelly",
"Steve",
""
]
] | [
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711.3864 | Ehud Hrushovski | Zo\'e Chatzidakis, Ehud Hrushovski | Difference fields and descent in algebraic dynamics - I | Revised version | null | null | null | math.LO math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We draw a connection between the model-theoretic notions of modularity (or
one-basedness), orthogonality and internality, as applied to difference fields,
and questions of descent in in algebraic dynamics. In particular we prove in
any dimension a strong dynamical version of Northcott's theorem for function
fields, answering a question of Szpiro and Tucker and generalizing a theorem of
Baker's for the projective line.
The paper comes in three parts. This first part contains an exposition some
of the main results of the model theory of difference fields, and their
immediate connection to questions of descent in algebraic dynamics. We present
the model-theoretic notion of internality in a context that does not require a
universal domain with quantifier-elimination. We also note a version of
canonical heights that applies well beyond polarized algebraic dynamics. Part
II sharpens the structure theory to arbitrary base fields and constructible
maps where in part I we emphasize finite base change and correspondences. Part
III will include precise structure theorems related to the Galois theory
considered here, and will enable a sharpening of the descent results for
non-modular dynamics.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 22:05:52 GMT"
},
{
"version": "v2",
"created": "Fri, 4 Jul 2008 15:41:53 GMT"
}
] | 2008-07-04T00:00:00 | [
[
"Chatzidakis",
"Zoé",
""
],
[
"Hrushovski",
"Ehud",
""
]
] | [
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711.3865 | Ehud Hrushovski | Zo\'e Chatzidakis, Ehud Hrushovski | Difference fields and descent in algebraic dynamics, II | Revised version; some corrections related to purely inseparable
descent, with thanks to referee | null | null | null | math.LO math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This second part of the paper strengthens the descent theory described in the
first part to rational maps, arbitrary base fields, and dynamics given by
correspondences. We obtain in particular a decomposition of any difference
field extension into a tower of finite, field-internal and one-based difference
field extensions. This is needed in order to obtain the "dynamical Northcott"
Theorem 1.11 of Part I in sharp form.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 22:18:38 GMT"
},
{
"version": "v2",
"created": "Fri, 4 Jul 2008 16:19:30 GMT"
}
] | 2008-07-04T00:00:00 | [
[
"Chatzidakis",
"Zoé",
""
],
[
"Hrushovski",
"Ehud",
""
]
] | [
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711.3866 | Jungsang Kim | Jungsang Kim and Changsoon Kim | Integrated Optical Approach to Trapped Ion Quantum Computation | 22 pages, 8 figures | Quant. Inf. Comput. Vol 9, No 2. (2009) | null | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent experimental progress in quantum information processing with trapped
ions have demonstrated most of the fundamental elements required to realize a
scalable quantum computer. The next set of challenges lie in realization of a
large number of qubits and the means to prepare, manipulate and measure them,
leading to error-protected qubits and fault tolerant architectures. The
integration of qubits necessarily require integrated optical approach as most
of these operations involve interaction with photons. In this paper, we discuss
integrated optics technologies and concrete optical designs needed for the
physical realization of scalable quantum computer.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 23:14:58 GMT"
},
{
"version": "v2",
"created": "Mon, 15 Dec 2008 18:43:56 GMT"
}
] | 2008-12-15T00:00:00 | [
[
"Kim",
"Jungsang",
""
],
[
"Kim",
"Changsoon",
""
]
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711.3867 | Yi Sun | Yi Sun | A Family of Likelihood Ascent Search Multiuser Detectors: Approach to
Single-User Performance via Quasi-Large Random Sequence CDMA | null | null | null | null | cs.IT math.IT | null | Since Tse and Verdu proved that the global maximum likelihood (GML) detector
achieves unit asymptotic multiuser efficiency (AME) in the limit of large
random spreading (LRS) CDMA, no suboptimal detector has been found to achieve
unit AME. In this letter, we obtain that the WSLAS detector with a linear
per-bit complexity achieves unit AME in the LRS-CDMA with a channel load < 1/2
- 1/(4ln2) bits/s/Hz. For a practical system with any user number, a quasi
LRS-CDMA is then proposed to approach the single-user performance in the high
SNR regime.
| [
{
"version": "v1",
"created": "Sat, 24 Nov 2007 23:59:34 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Sun",
"Yi",
""
]
] | [
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] |
711.3868 | Chung-Sang Ng | C. S. Ng (1), D. Rosenberg (2), K. Germaschewski (1), A. Pouquet (2)
and A. Bhattacharjee (1) ((1) Space Science Center, University of New
Hampshire, Durham, NH, (2) TNT/IMAGe, National Center for Atmospheric
Research, Boulder, CO) | A comparison of spectral element and finite difference methods using
statically refined nonconforming grids for the MHD island coalescence
instability problem | 19 pages, 17 figures, submitted to Astrophys. J. Suppl | Astrophys.J.Suppl.177:613,2008 | 10.1086/588139 | null | physics.comp-ph astro-ph.EP astro-ph.SR physics.plasm-ph physics.space-ph | null | A recently developed spectral-element adaptive refinement incompressible
magnetohydrodynamic (MHD) code [Rosenberg, Fournier, Fischer, Pouquet, J. Comp.
Phys. 215, 59-80 (2006)] is applied to simulate the problem of MHD island
coalescence instability (MICI) in two dimensions. MICI is a fundamental MHD
process that can produce sharp current layers and subsequent reconnection and
heating in a high-Lundquist number plasma such as the solar corona [Ng and
Bhattacharjee, Phys. Plasmas, 5, 4028 (1998)]. Due to the formation of thin
current layers, it is highly desirable to use adaptively or statically refined
grids to resolve them, and to maintain accuracy at the same time. The output of
the spectral-element static adaptive refinement simulations are compared with
simulations using a finite difference method on the same refinement grids, and
both methods are compared to pseudo-spectral simulations with uniform grids as
baselines. It is shown that with the statically refined grids roughly scaling
linearly with effective resolution, spectral element runs can maintain accuracy
significantly higher than that of the finite difference runs, in some cases
achieving close to full spectral accuracy.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 00:16:56 GMT"
}
] | 2011-08-31T00:00:00 | [
[
"Ng",
"C. S.",
""
],
[
"Rosenberg",
"D.",
""
],
[
"Germaschewski",
"K.",
""
],
[
"Pouquet",
"A.",
""
],
[
"Bhattacharjee",
"A.",
""
]
] | [
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711.3869 | Yi Sun | Yi Sun | A Family of Likelihood Ascent Search Multiuser Detectors: an Upper Bound
of Bit Error Rate and a Lower Bound of Asymptotic Multiuser Efficiency | To appear in IEEE Trans. on Communications | null | 10.1109/TCOMM.2009.06.060400 | null | cs.IT math.IT | null | In this paper, the bit error performance of a family of likelihood ascent
search (LAS) multiuser detectors is analyzed. An upper bound on the BER of any
LAS detector is obtained by bounding the fixed point region with the worst
initial detector. The concept of indecomposable errors developed by Verdu is
applied to tighten the upper bound. In a special instance, the upper bound is
reduced to that for all the local maximum likelihood detectors. The upper bound
is comparable with that of the optimum detector obtained by Verdu. A lower
bound on the asymptotic multiuser efficiency (AME) is then obtained. It is
shown that there are nontrivial CDMA channels such that a LAS detector can
achieve unit AME regardless of user number. The AME lower bound provides a
means for further seeking a good set of spreading sequences and power
distribution for spectral and power efficient CDMA.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 00:21:31 GMT"
},
{
"version": "v2",
"created": "Tue, 29 Jan 2008 20:44:24 GMT"
}
] | 2016-11-15T00:00:00 | [
[
"Sun",
"Yi",
""
]
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711.387 | Joe Perez | Joe J. Perez | The G-Fredholm Property of the \bar\partial-Neumann Problem | 19 pages | J. Geom. Anal., (2009) 19: 87-106 | null | null | math.CV math.AP | null | Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and
$M$ be the total space of a principal bundle $G\to M\to X$ so that $M$ is also
a strongly pseudoconvex complex manifold. In this work, we show that if $G$
acts by holomorphic transformations in $M$, then the complex Laplacian
$\square$ on $M$ has the following properties: The kernel of $\square$
restricted to the forms $\Lambda^{p,q}$ with $q$ positive is a closed,
$G$-invariant subspace in $L^{2}(M,\Lambda^{p,q})$ of finite $G$-dimension.
Secondly, we show that if $q$ is positive, then the image of $\square$ contains
a closed, $G$-invariant subspace of finite codimension in
$L^{2}(M,\Lambda^{p,q})$. These two properties taken together amount to saying
that $\square$ is a $G$-Fredholm operator. The boundary Laplacian has similar
properties.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 00:59:56 GMT"
},
{
"version": "v2",
"created": "Mon, 3 Dec 2007 04:01:55 GMT"
}
] | 2009-09-08T00:00:00 | [
[
"Perez",
"Joe J.",
""
]
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] |
711.3871 | Alexander Kelmans | Alexander Kelmans | Packing 3-Vertex Paths in Claw-Free Graphs | 12 pages | null | null | RUTCOR Research Report 24-2007, Rutgers University (2007) | math.CO | null | An L-factor of a graph G is a spanning subgraph of G whose every component is
a 3-vertex path. Let v(G) denote the number of vertices of G. A graph is called
claw-free if it does not have a subgraph isomorphic to the graph with 4
vertices and 3 edges having a common vertex. Our results include the following.
Let G$ be a 3-connected claw-free graph, x be a vertex, e = xy be an edge, and
P be a 3-vertex path in G. Then (c1) if v(G) = 0 mod 3, then G has an L-factor
containing (avoiding) e, (c2) if v(G) = 1 mod 3, then G - x has a L-factor,
(c3) if v(G) = 2 mod 3, then G - x -y has an L-factor, (c4) if v(G) = 0 mod 3
and G is either cubic or 4-connected, then G - P has an L-factor, and (c5) if G
is cubic and E is a set of three edges in G, then G - E has an L -factor if and
only if the subgraph induced by E in G is not a claw and not a triangle.
Keywords: claw-free graph, cubic graph, L-packing, L-factor.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 01:47:10 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Kelmans",
"Alexander",
""
]
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711.3872 | Stephen Morris | Nicolas Taberlet, Stephen W. Morris and Jim N. McElwaine | Washboard Road: The dynamics of granular ripples formed by rolling
wheels | 5 pages 5 figures | Physical Review Letters, 99, 068003 (2007) | 10.1103/PhysRevLett.99.068003 | null | nlin.PS cond-mat.soft nlin.CD physics.pop-ph | null | Granular surfaces tend to develop lateral ripples under the action of surface
forces exerted by rolling wheels, an effect known as washboard or corrugated
road. We report the results of both laboratory experiments and soft-particle
direct numerical simulations. Above a critical speed, the ripple pattern
appears as small patches of traveling waves which eventually spread to the
entire circumference. The ripples drift slowly in the driving direction.
Interesting secondary dynamics of the saturated ripples were observed, as well
as various ripple creation and destruction events. All of these effects are
captured qualitatively by 2D soft particle simulations in which a disk rolls
over a bed of poly-disperse particles in a periodic box. These simulations show
that compaction and segregation are inessential to the ripple phenomenon. We
also discuss a simplified scaling model which gives some insight into the
mechanism of the instability.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 02:11:03 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Taberlet",
"Nicolas",
""
],
[
"Morris",
"Stephen W.",
""
],
[
"McElwaine",
"Jim N.",
""
]
] | [
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] |
711.3873 | Nick Crawford | Nicholas Crawford | The Interaction Between Multi-Overlaps in the High Temperature Phase of
the Sherrington-Kirkpatrick Spin Glass | 30 pages, Added References | null | 10.1063/1.2966275 | null | math.PR math-ph math.MP | null | We explore the joint behavior of a finite number of multi-overlaps in the
high temperature phase of the SK model. Extending work by M. Talagrand, we show
that, when these objects are scaled to have non-trivial limiting distributions,
the joint behavior is described by a Gaussian process with an explicit
covariance structure.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 16:32:09 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Nov 2007 03:57:10 GMT"
},
{
"version": "v3",
"created": "Thu, 10 Apr 2008 03:23:06 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Crawford",
"Nicholas",
""
]
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] |
711.3874 | Stephen Morris | Stephen W. Morris, Jonathan H. P. Dawes, Neil M. Ribe and John R.
Lister | The meandering instability of a viscous thread | 12 pages, 9 figures, revised, resubmitted to Physical Review E | null | 10.1103/PhysRevE.77.066218 | null | physics.flu-dyn math.DS nlin.PS physics.class-ph | null | A viscous thread falling from a nozzle onto a surface exhibits the famous
rope-coiling effect, in which the thread buckles to form loops. If the surface
is replaced by a belt moving with speed $U$, the rotational symmetry of the
buckling instability is broken and a wealth of interesting states are observed
[See S. Chiu-Webster and J. R. Lister, J. Fluid Mech., {\bf 569}, 89 (2006)].
We experimentally studied this "fluid mechanical sewing machine" in a new, more
precise apparatus. As $U$ is reduced, the steady catenary thread bifurcates
into a meandering state in which the thread displacements are only transverse
to the motion of the belt. We measured the amplitude and frequency $\omega$ of
the meandering close to the bifurcation. For smaller $U$, single-frequency
meandering bifurcates to a two-frequency "figure eight" state, which contains a
significant $2\omega$ component and parallel as well as transverse
displacements. This eventually reverts to single-frequency coiling at still
smaller $U$. More complex, highly hysteretic states with additional frequencies
are observed for larger nozzle heights. We propose to understand this zoology
in terms of the generic amplitude equations appropriate for resonant
interactions between two oscillatory modes with frequencies $\omega$ and
$2\omega$. The form of the amplitude equations captures both the axisymmetry of
the U=0 coiling state and the symmetry-breaking effects induced by the moving
belt.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 03:14:03 GMT"
},
{
"version": "v2",
"created": "Wed, 21 May 2008 14:55:58 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Morris",
"Stephen W.",
""
],
[
"Dawes",
"Jonathan H. P.",
""
],
[
"Ribe",
"Neil M.",
""
],
[
"Lister",
"John R.",
""
]
] | [
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] |
711.3875 | Robert Grossman | Robert L. Grossman and Richard G. Larson | An Overview of Hopf Algebras of Trees and Their Actions on Functions | null | null | null | null | math.RA math.CO | null | We provide an expository account of some of the Hopf algebras that can be
defined using trees, labeled trees, ordered trees and heap ordered trees. We
also describe some actions of these Hopf algebras on algebra of functions.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 03:24:00 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Grossman",
"Robert L.",
""
],
[
"Larson",
"Richard G.",
""
]
] | [
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] |
711.3876 | Sergio Coutinho | P. H. Figueiredo, M. A. Moret, E. Nogueira Jr. and S. Coutinho | Dihedral-angle Gaussian distribution driving protein folding | 9 pages, 4 figures, to be published in Physica A | null | 10.1016/j.physa.2007.11.034 | null | physics.bio-ph | null | The proposal of this paper is to provide a simple angular random walk model
to build up polypeptide structures, which encompass properties of dihedral
angles of folded proteins. From this model, structures will be built with
lengths ranging from 125 up to 400 amino acids for the different fractions of
secondary structure motifs, which dihedral angles were randomly chosen
according to narrow Gaussian probability distributions. In order to measure the
fractal dimension of proteins three different cases were analyzed. The first
contained alpha-helix structures only, the second beta-strands structures and
the third a mix of alpha-helices and beta-sheets. The behavior of proteins with
alpha-helix motifs are more compacted than in other situations. The findings
herein indicate that this model describes some structural properties of a
protein and suggest that randomness is an essential ingredient but proteins are
driven by narrow angular Gaussian probability distributions and not by
random-walk processes.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 03:40:47 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Figueiredo",
"P. H.",
""
],
[
"Moret",
"M. A.",
""
],
[
"Nogueira",
"E.",
"Jr."
],
[
"Coutinho",
"S.",
""
]
] | [
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] |
711.3877 | Richard Larson | R. L. Grossman, R. G. Larson | Hopf-algebraic structures of families of trees | 29 pages | J. Algebra, 126 (1989), 184-210 | null | null | math.RA math.CO | null | Description of cocommutative Hopf algebras associated with families of trees.
Applications include Cayley's theorem on the number of rooted trees with n
nodes, and Catalan's theorem on the number of rooted ordered trees with n
nodes.
| [
{
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] | 2007-11-27T00:00:00 | [
[
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711.3878 | Chandan Singh Dalawat | Chandan Singh Dalawat | Local discriminants, kummerian extensions, and elliptic curves | null | Journal of the Ramanujan Mathematical Society, {\bf 25} (2010) 1,
pp.~25--80. | null | null | math.NT math.AC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some thoughts on the congruence D=0,1(mod 4) for the absolute discriminant D
of a number field
| [
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},
{
"version": "v2",
"created": "Fri, 12 Mar 2010 10:26:20 GMT"
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] | 2010-03-15T00:00:00 | [
[
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711.3879 | Chandan Singh Dalawat | Chandan Singh Dalawat | Wilson's theorem | null | Journal de Th{\'e}orie des nombres de Bordeaux 21 (2009) 3,
517--521 | null | null | math.NT math.HO | null | We show that there are four possibilities for the product of all elements in
the multiplicative group of a quotient of the ring of integers in a number
field, and give precise conditions for each of the possibilities to occur. This
generalisation of Wilson's theorem turns out to have been first discovered by
M. La\v{s}\v{s}\'ak (2000), but our proof is simpler and more direct.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 04:07:05 GMT"
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] | 2013-01-09T00:00:00 | [
[
"Dalawat",
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] |
711.388 | Tadashi Yoshikawa | C.S. Kim, Tadashi Yoshikawa | Systematic Analysis of B --> K pi l^+ l^- Decay through Angular
Decomposition | 26 pages, 7 figures, Update references | null | null | null | hep-ph | null | We investigate systematically how to extract new physics contributions in B
--> K pi l^+ l^- decay by using the angular decomposition. The decomposition
will enable us to define not only several CP averaged forward-backward (FB)
asymmetries but also the direct CP asymmetry and the time-dependent mixing
induced CP asymmetry for each FB asymmetry newly defined in the general 4 body
angular space. The decay process involves several intermediate vector and
scalar resonances as sources of strong phase difference through interference,
therefore, one can expect largely enhanced CP asymmetries, if there exists any
new physics with weak CP phases. The combined analysis of the FB and CP
asymmetries will give us fruitful information about new physics contributions
in detail.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 04:18:48 GMT"
},
{
"version": "v2",
"created": "Tue, 4 Dec 2007 10:05:27 GMT"
}
] | 2007-12-04T00:00:00 | [
[
"Kim",
"C. S.",
""
],
[
"Yoshikawa",
"Tadashi",
""
]
] | [
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] |
711.3881 | Qing-Hong Cao | Qing-Hong Cao, Ernest Ma, Jose Wudka, C.-P. Yuan | Multipartite Dark Matter | references added | null | null | UCRHEP-T443 | hep-ph astro-ph | null | Dark matter (comprising a quarter of the Universe) is usually assumed to be
due to one and only one weakly interacting particle which is neutral and
absolutely stable. We consider the possibility that there are several
coexisting dark-matter particles, and explore in some detail the generic case
where there are two. We discuss how the second dark-matter particle may relax
the severe constraints on the parameter space of the Minimal Supersymmetric
Standard Model, as well as other verifiable predictions in both direct and
indirect search experiments.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 05:23:05 GMT"
},
{
"version": "v2",
"created": "Mon, 3 Dec 2007 03:41:31 GMT"
}
] | 2007-12-03T00:00:00 | [
[
"Cao",
"Qing-Hong",
""
],
[
"Ma",
"Ernest",
""
],
[
"Wudka",
"Jose",
""
],
[
"Yuan",
"C. -P.",
""
]
] | [
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] |
711.3882 | Hosho Katsura | Hosho Katsura, Takaaki Hirano, Vladimir E. Korepin | Entanglement in an SU(n) Valence-Bond-Solid State | 16 pages, 2 figures; one reference added | J. Phys. A:Math & Theor. 41, 135304(2008). | 10.1088/1751-8113/41/13/135304 | null | quant-ph cond-mat.stat-mech math-ph math.MP | null | We investigate entanglement properties in the ground state of the
open/periodic SU($n$) generalized valence-bond-solid state consisting of
representations of SU($n$). We obtain exact expression for the reduced density
matrix of a block of contiguous spins and explicitly evaluate the von Neumann
and the R\'enyi entropies. We discover that the R\'enyi entropy is independent
of the parameter $\alpha$ in the limit of large block sizes and its value $2
\log n$ coincides with that of von Neumann entropy. We also find the direct
relation between the reduced density matrix of the subsystem and edge states
for the corresponding open boundary system.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 07:14:14 GMT"
},
{
"version": "v2",
"created": "Fri, 28 Dec 2007 11:48:57 GMT"
}
] | 2008-04-03T00:00:00 | [
[
"Katsura",
"Hosho",
""
],
[
"Hirano",
"Takaaki",
""
],
[
"Korepin",
"Vladimir E.",
""
]
] | [
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] |
711.3883 | Hakim Boumaza | Boumaza Hakim | Positivit\'e des exposants de Lyapounov pour un op\'erateur de
Schr\"odinger continu \`a valeurs matricielles | null | null | null | null | math-ph math.MP | null | In this note, we study a continuous matrix-valued Anderson-type model. Both
leading Lyapounov exponents of this model are proved to be positive and
distincts for all energies in $(2,+\infty)$ except those in a discrete set,
which leads to absence of absolutely continuous spectrum in $(2,+\infty)$. The
methods, using group theory results by Breuillard and Gelander, allow for
singular Bernoulli distributions.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 08:39:57 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Hakim",
"Boumaza",
""
]
] | [
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] |
711.3884 | Surajit Sen | Mihir Ranjan Nath, Surajit Sen and Gautam Gangopadhyay | Dynamics of cascade three-level system interacting with the classical
and quantized field | 10 pages, 5 Figures | Pramana-Journal of Physics Vol. 61, No. 6, 1089 (2003) | null | null | quant-ph | null | We study the exact solutions of the cascade three-level atom interacting with
a single mode classical and quantized field with different initial conditions
of the atom. For the semiclassical model, it is found that if the atom is
initially in the middle level, the time dependent populations of the upper and
lower levels are always equal. This dynamical symmetry exhibited by the
classical field is spoiled on quantization of the field mode. To reveal this
nonclassical effect an Euler matrix formalism is developed to solve the dressed
states of the cascade Jaynes-Cummings model (JCM). Possible modification of
such effect on the collapse and revival phenomenon is also discussed by taking
the quantized field in a coherent state.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 07:05:54 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Nath",
"Mihir Ranjan",
""
],
[
"Sen",
"Surajit",
""
],
[
"Gangopadhyay",
"Gautam",
""
]
] | [
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] |
711.3885 | Masahiro Yanagisawa | Masahiro Yanagisawa | Quantum smoothing | 9 pages | null | null | null | quant-ph | null | Quantum initial state estimation through entanglement and continuous
measurement is introduced. This paper provides a unified formulation of
classical and quantum smoothing and shows a smoothing uncertainty relation. As
an example, a communication between two parties via a two mode squeezed state
is shown.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 07:14:25 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Dec 2007 11:46:58 GMT"
}
] | 2007-12-06T00:00:00 | [
[
"Yanagisawa",
"Masahiro",
""
]
] | [
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] |
711.3886 | Tsutomu Takayama | Toshihiro Kawaguchi, Masahiro Kawasaki, Tsutomu Takayama, Masahide
Yamaguchi, Jun'ichi Yokoyama | Formation of intermediate-mass black holes as primordial black holes in
the inflationary cosmology with running spectral index | 7 pages, 4 figures | Mon.Not.Roy.Astron.Soc.388:1426-1432,2008 | 10.1111/j.1365-2966.2008.13523.x | null | astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Formation of primordial black holes (PBHs) on astrophysical mass scales is a
natural consequence of inflationary cosmology if the primordial perturbation
spectrum has a large and negative running of the spectral index as
observationally inferred today, because double inflation is required to explain
it and fluctuations on some astrophysical scales are enhanced in the field
oscillation regime in between. It is argued that PBHs thus produced can serve
as intermediate-mass black holes (IMBHs) which act as the observed
ultraluminous X-ray sources (ULXs) by choosing appropriate values of the model
parameters in their natural ranges. Our scenario can be observationally tested
in near future because the mass of PBHs is uniquely determined once we specify
the values of the spectral index and its running on large scales.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 07:30:23 GMT"
},
{
"version": "v2",
"created": "Thu, 21 Aug 2008 08:23:40 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Kawaguchi",
"Toshihiro",
""
],
[
"Kawasaki",
"Masahiro",
""
],
[
"Takayama",
"Tsutomu",
""
],
[
"Yamaguchi",
"Masahide",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | [
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711.3887 | Omar Mustafa | Omar Mustafa | Spherical-separablility of non-Hermitian Dirac Hamiltonians and
pseudo-PT-symmetry | This paper has been withdrawn for its now combined with 0710.5814 to
form 0801.3572 | null | 10.1007/s10773-008-9794-y | null | quant-ph | null | A non-Hermitian P$_{\phi}$T$_{\phi}$-symmetrized spherically-separable Dirac
Hamiltonian is considered. It is observed that the descendant Hamiltonians
H$_{r}$, H$_{\theta}$, and H$_{\phi}$ play essential roles and offer some
user-feriendly options as to which one (or ones) of them is (or are)
non-Hermitian. Considering a P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$, we
have shown that the conventional relativistic energy eigenvalues are
recoverable. We have also witnessed an unavoidable change in the azimuthal part
of the general wavefunction. Moreover, setting a possible interaction
$V(\theta)$=0 in the descendant Hamiltonian H$_{\theta}$ would manifest a
change in the angular $\theta$-dependent part of the general solution too.
Whilst some P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$ Hamiltonians are
considered, a recipe to keep the regular magnetic quantum number m, as defined
in the regular traditional Hermitian settings, is suggested. Hamiltonians
possess properties similar to the PT-symmetric ones (here the non-Hermitian
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 07:34:23 GMT"
},
{
"version": "v2",
"created": "Thu, 24 Jan 2008 09:37:26 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Mustafa",
"Omar",
""
]
] | [
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711.3888 | Tetsuya Takaishi | Tetsuya Takaishi, Atsushi Nakamura | Simulations of one-flavor QCD at finite temperature by RHMC | 7 pages, Presented at the XXV International Symposium on Lattice
Field Theory, July 30 - August 4 2007, Regensburg, Germany | PoSLAT2007:229,2007 | null | null | hep-lat | null | We simulate one-flavor QCD with standard Wilson fermions at finite
temperature by the rational hybrid Monte Carlo algorithm. In the heavy quark
region when we decrease the quark mass there is an endpoint which terminates
the first order phase transition. We try to locate it by calculating the Binder
cumulant of the Polyakov loop norm. We estimate the end-point to be kappa_c
\sim 0.07-0.08.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 08:21:11 GMT"
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] | 2008-11-26T00:00:00 | [
[
"Takaishi",
"Tetsuya",
""
],
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"Atsushi",
""
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711.3889 | Hakim Boumaza | Boumaza Hakim | H\"older continuity of the IDS for matrix-valued Anderson models | null | Rev. Math. Phys. 20(7). 873-900 (2008) | 10.1142/S0129055X08003456 | null | math-ph math.MP | null | We study a class of continuous matrix-valued Anderson models acting on
$L^{2}(\R^{d})\otimes \C^{N}$. We prove the existence of their Integrated
Density of States for any $d\geq 1$ and $N\geq 1$. Then for $d=1$ and for
arbitrary $N$, we prove the H\"older continuity of the Integrated Density of
States under some assumption on the group $G_{\mu_{E}}$ generated by the
transfer matrices associated to our models. This regularity result is based
upon the analoguous regularity of the Lyapounov exponents associated to our
model, and a new Thouless formula which relates the sum of the positive
Lyapounov exponents to the Integrated Density of States. In the final section,
we present an example of matrix-valued Anderson model for which we have already
proved, in a previous article, that the assumption on the group $G_{\mu_{E}}$
is verified. Therefore the general results developed here can be applied to
this model.
| [
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711.389 | Alessandro Verra | Alessandro Verra | On the universal abelian variety of dimension 4 | Referee's version, appearing on Contemporary Math. vol. 465 (2008) | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let A be the moduli space of principally polarized abelian varieties of
dimension 4 over an algebraically closed field k of characteristic different
from 2,3. It is proved that the universal principally polarized abelian variety
over A, as well as the universal theta divisor over A, are unirational
varieties.
| [
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{
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711.3891 | Yu-Feng Zhou | Yue-Liang Wu and Yu-Feng Zhou | A Two Higgs Bi-doublet Left-Right Model With Spontaneous CP Violation | Talk at 4th International Conference on Flavor Physics (ICFP 2007),
Beijing, China, 24-28 Sep 2007 | Int.J.Mod.Phys.A23:3304-3308,2008 | 10.1142/S0217751X0804202X | null | hep-ph | null | We discuss a left-right symmetric model with two Higgs bi-doublet and
spontaneous P and CP violation. The flavor changing neutral currents is
suppressed by assuming approximate global U(1) family symmetry. We calculate
the constraints from neural K meson mass difference \Delta m_K and demonstrate
that a right-handed gauge boson W_2 contribution in box-diagrams with mass
around 600 GeV is allowed due to a negative interference with a light charged
Higgs boson around 150 \sim 300 GeV. The W_2 contribution to \epsilon_K is
suppressed from appropriate choice of additional CP phases appearing in the
right-handed Cabbibo-Kobayashi-Maskawa(CKM) matrix. The model is found fully
consistent with B^0 mass difference and the mixing-induced CP asymmetry
measurements.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 09:43:08 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Wu",
"Yue-Liang",
""
],
[
"Zhou",
"Yu-Feng",
""
]
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711.3892 | Bau-Sen Du | Bau-Sen Du | A Simple Proof of Sharkovsky's Theorem Rerevisited | 28 pages, 5 figures, In this revision, we replace a detailed proof of
(a), (b) and (c) in section 3 and a detailed proof of Sharkovsky's theorem in
section 11. arXiv admin note: substantial text overlap with
arXiv:math/0703592 | null | null | null | math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on various strategies and a new general doubling operator, we obtain
several simple proofs of the celebrated Sharkovsky's cycle coexistence theorem.
A simple non-directed graph proof which is especially suitable for a calculus
course right after the introduction of Intermediate Value Theorem is also given
(in section 3).
| [
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},
{
"version": "v9",
"created": "Fri, 10 Apr 2015 10:23:09 GMT"
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] | 2015-04-13T00:00:00 | [
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711.3893 | Kamuran Saygili | K. Saygili | Topologically Massive Abelian Gauge Theory | 31 pages, latex | Int.J.Mod.Phys.A23:2015-2035,2008 | 10.1142/S0217751X08039840 | null | hep-th | null | We discuss three mathematical structures which arise in topologically massive
abelian gauge theory. First, the euclidean topologically massive abelian gauge
theory defines a contact structure on a manifold. We briefly discuss three
solutions and the related contact structures on the flat 3-torus, the AdS
space, the 3-sphere which respectively correspond to Bianchi type I, VIII, IX
spaces. We also present solutions on Bianchi type II, VI and VII spaces.
Secondly, we discuss a family of complex (anti-)self-dual solutions of the
euclidean theory in cartesian coordinates on R3 which are given by
(anti-)holomorpic functions. The orthogonality relation of contact structures
which are determined by the real parts of these complex solutions separates
them into two classes: the self-dual and the anti-self-dual solutions. Thirdly,
we apply the curl transformation to this theory. An arbitrary solution is given
by a vector tangent to a sphere whose radius is determined by the topological
mass in transform space. Meanwhile a gauge transformation corresponds to a
vector normal to this sphere. We discuss the quantization of topological mass
on an example.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 10:38:12 GMT"
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] | 2008-11-26T00:00:00 | [
[
"Saygili",
"K.",
""
]
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] |
711.3894 | Nguyen Chau Van | Nguyen Van Chau | Plane Jacobian conjecture for simple polynomials | 6 pages, submitted | Ann. Pol. Math. 93 (2008), No. 3, 247-251 | null | null | math.AG math.AC | null | A non-zero constant Jacobian polynomial map $F=(P,Q):\mathbb{C}^2
\longrightarrow \mathbb{C}^2$ has a polynomial inverse if the component $P$ is
a simple polynomial, i.e. if, when $P$ extended to a morphism
$p:X\longrightarrow \mathbb{P}^1$ of a compactification $X$ of $\mathbb{C}^2$,
the restriction of $p$ to each irreducible component $C$ of the
compactification divisor $D = X-\mathbb{C}^2$ is either degree 0 or 1.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 11:44:37 GMT"
}
] | 2017-09-13T00:00:00 | [
[
"Van Chau",
"Nguyen",
""
]
] | [
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] |
711.3895 | Mannque Rho | Mannque Rho | Hidden Local Symmetry and Dense Half-Skyrmion Matter | 6 pages, 1 figure, 1 reference corrected | null | null | null | nucl-th hep-ph hep-th | null | Transition from baryonic matter to color-flavor-locked quark matter is
described in terms of skyrmion matter changing into half-skyrmion matter. The
intermediate phase between the density $n_p$ at which a skyrmion turns into two
half skyrmions and the chiral transition density $n_c^{\chi SR}$ at which
hadronic matter changes over to quark matter corresponds to a chiral symmetry
restored phase characterized by a vanishing quark condensate and a {\em
non-vanishing} pion decay constant. When hidden local fields are incorporated,
the vector manifestation of Harada-Yamawaki HLS theory implies that as density
approaches $n_c^{\chi SR}$, the gauge coupling $g$ goes to zero (in the chiral
limit) and the symmetry "swells" to $SU(N_f)^4$ as proposed by Georgi for the
"vector limit." This enhanced symmetry, not present in QCD, can be interpreted
as "emergent" in medium due to collective excitations. The fractionization of
skyrmions into half-skyrmions resembles closely the magnetic N\'eel--to-valence
bond solid (VBS) paramagnet transition where "baby" half-skyrmions enter as
relevant degrees of freedom in the intermediate phase. It is suggested that the
half-skyrmion phase in dense matter corresponds to the "hadronic freedom"
regime that plays a singularly important role in inducing kaon condensation
that leads to the collapse of massive compact stars into black holes..
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 12:52:16 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Nov 2007 07:22:35 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Rho",
"Mannque",
""
]
] | [
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] |
711.3896 | Tao Zhou | Jue Zhang, Yang Zhao, Baomei Tian, Liqian Peng, Hai-Tao Zhang,
Bing-Hong Wang, and Tao Zhou | Accelerating consensus of self-driven swarm via adaptive speed | 11 pages, 6 figures | Physica A 388: 1237-1242 (2009) | 10.1016/j.physa.2008.11.043 | null | cond-mat.dis-nn cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In resent years, Vicsek model has attracted more and more attention and been
well developed. However, the in-depth analysis on the convergence time are
scarce thus far. In this paper, we study some certain factors that mainly
govern the convergence time of Vicsek model. By extensively numerical
simulations, we find the convergence time scales in a power law with $r^2\ln N$
in the noise-free case, where $r$ and $N$ are horizon radius and the number of
particles. Furthermore, to accelerate the convergence, we propose a new model
in which the speed of each particle is variable. The convergence time can be
remarkably shortened compared with the standard Vicsek model.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 12:52:22 GMT"
},
{
"version": "v2",
"created": "Sun, 28 Sep 2008 12:32:52 GMT"
}
] | 2009-01-27T00:00:00 | [
[
"Zhang",
"Jue",
""
],
[
"Zhao",
"Yang",
""
],
[
"Tian",
"Baomei",
""
],
[
"Peng",
"Liqian",
""
],
[
"Zhang",
"Hai-Tao",
""
],
[
"Wang",
"Bing-Hong",
""
],
[
"Zhou",
"Tao",
""
]
] | [
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] |
711.3897 | Jun Tao | Jun Tao, Junhui Fan, Bochen Qian, and Yi Liu | Optical Monitoring of 3C 390.3 from 1995 to 2004 and Possible
Periodicities in the Historical Light Curve | Accepted by AJ, 34 pages, 11 figures | null | 10.1088/0004-6256/135/2/737 | null | astro-ph | null | We report V, R, and I band CCD photometry of the radio galaxy 3C 390.3
obtained with the 1.56-m telescope of the Shanghai Astronomical Observatory
from March 1995 to August 2004. Combining these data with data from the
literature, we have constructed a historical light curve from 1894 to 2004 and
searched for periodicities using the CLEANest program. We find possible periods
of 8.30+-1.17, 5.37+-0.49, 3.51+-0.21, and 2.13+-0.08 years.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 12:52:58 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Tao",
"Jun",
""
],
[
"Fan",
"Junhui",
""
],
[
"Qian",
"Bochen",
""
],
[
"Liu",
"Yi",
""
]
] | [
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] |
711.3898 | Paul-Emile Paradan | Paul-Emile Paradan (I3M), Mich\`ele Vergne (CMLS-EcolePolytechnique,
IMJ) | Equivariant relative Thom forms and Chern characters | 60 pages, some misprints corrected | null | null | null | math.DG | null | These notes are the first chapter of a monograph, dedicated to a detailed
proof of the equivariant index theorem for transversally elliptic operators. In
this preliminary chapter, we prove a certain number of natural relations in
equivariant cohomology. These relations include the Thom isomorphism in
equivariant cohomology, the multiplicativity of the relative Chern characters,
and the Riemann-Roch relation between the relative Chern character of the Bott
symbol and of the relative Thom class.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 13:23:19 GMT"
},
{
"version": "v2",
"created": "Mon, 10 Dec 2007 09:08:52 GMT"
}
] | 2007-12-10T00:00:00 | [
[
"Paradan",
"Paul-Emile",
"",
"I3M"
],
[
"Vergne",
"Michèle",
"",
"CMLS-EcolePolytechnique,\n IMJ"
]
] | [
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711.3899 | R. P. Thomas | R. Pandharipande and R. P. Thomas | Stable pairs and BPS invariants | Fixed typo pointed out by Filippo Viviani | Jour. AMS. 23, 267-297, 2010 | 10.1090/S0894-0347-09-00646-8 | null | math.AG hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define the BPS invariants of Gopakumar-Vafa in the case of irreducible
curve classes on Calabi-Yau 3-folds. The main tools are the theory of stable
pairs in the derived category and Behrend's constructible function approach to
the virtual class. We prove that for irreducible classes the stable pairs
generating function satisfies the strong BPS rationality conjectures.
We define the contribution of each curve to the BPS invariants. A curve $C$
only contributes to the BPS invariants in genera lying between the geometric
genus and arithmetic genus of $C$. Complete formulae are derived for
nonsingular and nodal curves.
A discussion of primitive classes on K3 surfaces from the point of view of
stable pairs is given in the Appendix via calculations of Kawai-Yoshioka. A
proof of the Yau-Zaslow formula for rational curve counts is obtained. A
connection is made to the Katz-Klemm-Vafa formula for BPS counts in all genera.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 13:34:13 GMT"
},
{
"version": "v2",
"created": "Fri, 23 May 2008 20:06:22 GMT"
},
{
"version": "v3",
"created": "Sun, 12 Oct 2008 00:02:08 GMT"
},
{
"version": "v4",
"created": "Tue, 23 May 2017 15:05:35 GMT"
}
] | 2017-05-24T00:00:00 | [
[
"Pandharipande",
"R.",
""
],
[
"Thomas",
"R. P.",
""
]
] | [
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] |
711.39 | Walter Wreszinski F. | Walter F. Wreszinski | On Translational Superfluidity and the Landau Criterion for Trapped Bose
gases in the Gross-Pitaevski Limit | 5 pages, no figures | null | 10.1088/1751-8113/41/39/392006 | null | cond-mat.supr-con cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The two-fluid and Landau criteria for superfluidity are compared for trapped
Bose gases. While the two-fluid criterion predicts translational superfluidity,
it is suggested, on the basis of the homogeneous Gross-Pitaevski limit, that a
necessary part of Landau's criterion, adequate for non-translationally
invariant systems, d oes not hold for trapped Bose gases in the GP limit. As a
consequence, if the compressibility is detected to be very large (infinite by
experimental standards) the two-fluid criterion is seen to be the relevant one
in case the system is a tranlational superfluid, while the Landau criterion is
the relevant one if translational superfluidity is absent.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 13:47:37 GMT"
},
{
"version": "v2",
"created": "Fri, 22 Aug 2008 09:59:09 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wreszinski",
"Walter F.",
""
]
] | [
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] |
711.3901 | Marc Bonnet | Y. Rollet, M. Bonnet (LMS), N. Carr\`ere, F.-H. Leroy, J.-F. Maire | Improving the reliability of material databases using multiscale
approaches | null | Composites Science and Technology (2008) \`a para\^itre | 10.1016/j.compscitech.2007.10.049 | null | physics.class-ph | null | This article addresses the propagation of constitutive uncertainties between
scales occurring in the multiscale modelling of fibre-reinforced composites.
The amplification of such uncertainties through upward or downward transitions
by a homogenisation model is emphasized and exemplified with the Mori-Tanaka
model. In particular, the sensitivity to data uncertainty in the inverse
determination of constituent parameters based on downward transitions is
stressed on an example. Then a database improvement method, which exploits
simultaneously the available information on constitutive uncertainties at all
scales instead of just propagating those associated with one scale, is
presented and shown to yield substantial reductions in uncertainty for both the
constitutive parameters and the response of structures. The latter finding is
demonstrated on two examples of structures, with significant gains in
confidence obtained on both.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 13:50:54 GMT"
}
] | 2008-04-21T00:00:00 | [
[
"Rollet",
"Y.",
"",
"LMS"
],
[
"Bonnet",
"M.",
"",
"LMS"
],
[
"Carrère",
"N.",
""
],
[
"Leroy",
"F. -H.",
""
],
[
"Maire",
"J. -F.",
""
]
] | [
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] |
711.3902 | Wolfgang Ochs | Wolfgang Ochs | The glueball among the light scalar mesons | Contribution to HADRON07 (XII Int. Conf. on Hadron Spectroscopy -
Frascati, Oct 8-13, 2007), reference added | null | null | MPP-2007-173 | hep-ph hep-ex | null | The lightest gluonic meson is expected with J^{PC}=0^{++}, calculations in
full QCD point towards a mass of around 1 GeV. The interpretation of the scalar
meson spectrum is hindered as some states are rather broad. In a largely
model-independent analysis of pi+ pi- \to pi+ pi-, pi0 pi0 scattering in the
region 600-1800 MeV a unique solution for the isoscalar S-wave is obtained. The
resonances f_0(980), f_0(1500) and the broad f_0(600) or ``sigma'' are clearly
identified whereas f_0(1370) is not seen at the level B(f_0(1370)\to pi
pi)\gtrsim 10%. Arguments for the broad state to be a glueball are recalled. We
see no contradiction with the reported large B(sigma \to gamma gamma) and
propose some further experimental tests.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 14:22:20 GMT"
},
{
"version": "v2",
"created": "Fri, 30 Nov 2007 14:37:18 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Ochs",
"Wolfgang",
""
]
] | [
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] |
711.3903 | Alexander Bershadskii | A. Bershadskii | Decoupling and coherent plasma oscillations around last scattering | null | Phys. Lett. A, 372, 2741-2745 (2008) | 10.1016/j.physleta.2007.12.041 | null | astro-ph nlin.CD physics.plasm-ph | null | Coherent properties of the baryon-photon fluid decoupling are considered in
the terms of an effective nonlinear Schr\"{o}dinger equation for a macroscopic
wave function that specifies the index of the coherent state. Generation of a
transitional acoustic turbulence preceding formation of large-scale condensate
in the plasma and its influence on the CMB power spectrum has been studied. A
scaling $k^{-1}$ law is derived for the CMB Doppler spectrum $E(k)$
(angle-averaged) in the {\it wavenumber} space, for sufficiently large
wavenumber $k$ and for the weak nonlinear and completely disordered initial
conditions. Using the recent WMAP data it is shown that the so-called first
acoustic peak represents (in a compensated spectral form) a pre-condensate
fraction of the spectrum $E(k)$ at a rather advance stage of the condensate
formation process.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 14:46:51 GMT"
}
] | 2008-04-07T00:00:00 | [
[
"Bershadskii",
"A.",
""
]
] | [
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] |
711.3904 | Hong-Jian Feng | Hong-Jian Feng and Fa-Min Liu | Ab initio prediction on ferrotoroidic olivine Li4MnFeCoNiP4O16 | 20 pages, 8 figures, submitted to Physics Letters A | null | null | null | cond-mat.mtrl-sci cond-mat.str-el | null | First-principles calculation predict that olivine Li4MnFeCoNiP4O16 has
ferrotoroidic characteristic and ferrimagnetic configuration with magnetic
moment of 1.56 \muB per formula unit. The ferrotoroidicity of this material
makes it a potential candidate for magnetoelectric materials . Based on the
orbital-resolved density of states for the transtion-metal ions in
Li4MnFeCoNiP4O16, the spin configuration for Mn2+,Fe3+,Co2+, and Ni2+ is
t2g3eg2, t2g3eg2,t2g1t2g3eg1eg2, and t2g2t2g3eg1eg2, respectively. Density
functional theory plus U (DFT+U) shows a indirect band gap of 1.25 eV in this
predicted material, which is not simply related to the electronic conductivity
in terms of being used as cathode material in rechargeable Li-ion batteries.
| [
{
"version": "v1",
"created": "Mon, 26 Nov 2007 02:01:53 GMT"
}
] | 2007-11-27T00:00:00 | [
[
"Feng",
"Hong-Jian",
""
],
[
"Liu",
"Fa-Min",
""
]
] | [
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] |
711.3905 | John Ryan | Alexander Balinsky and John Ryan | Some Sharp L^2 Inequalities for Dirac Type Operators | This is a contribution to the Proceedings of the 2007 Midwest
Geometry Conference in honor of Thomas P. Branson, published in SIGMA
(Symmetry, Integrability and Geometry: Methods and Applications) at
http://www.emis.de/journals/SIGMA/ | SIGMA 3 (2007), 114, 10 pages | 10.3842/SIGMA.2007.114 | null | math-ph math.DG math.MP | null | We use the spectra of Dirac type operators on the sphere $S^{n}$ to produce
sharp $L^{2}$ inequalities on the sphere. These operators include the Dirac
operator on $S^{n}$, the conformal Laplacian and Paenitz operator. We use the
Cayley transform, or stereographic projection, to obtain similar inequalities
for powers of the Dirac operator and their inverses in $\mathbb{R}^{n}$.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 15:05:14 GMT"
}
] | 2008-04-25T00:00:00 | [
[
"Balinsky",
"Alexander",
""
],
[
"Ryan",
"John",
""
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711.3906 | Tarek Khalil | Tarek Khalil and Jean Richert | Low energy properties of non-perturbative quantum systems: a space
reduction approach | 13 pages, 3 figures, to appear in PLA | Physics Letters A 372 (2008) 2217--2222 | 10.1016/j.physleta.2007.11.044 | null | quant-ph cond-mat.str-el nucl-th physics.atm-clus | null | We propose and test a renormalization procedure which acts in Hilbert space.
We test its efficiency on strongly correlated quantum spin systems by working
out and analyzing the low-energy spectral properties of frustrated quantum spin
systems in different parts of the phase diagram and in the neighbourhood of
quantum critical points.
| [
{
"version": "v1",
"created": "Sun, 25 Nov 2007 15:18:11 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Khalil",
"Tarek",
""
],
[
"Richert",
"Jean",
""
]
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711.3907 | Atsushi Takahashi | Atsushi Takahashi | Weighted Projective Lines Associated to Regular Systems of Weights of
Dual Type | 16 pages, improved Section 7 | null | null | null | math.AG | null | We associate to a regular system of weights a weighted projective line over
an algebraically closed field of characteristic zero in two different ways. One
is defined as a quotient stack via a hypersurface singularity for a regular
system of weights and the other is defined via the signature of the same
regular system of weights.
The main result in this paper is that if a regular system of weights is of
dual type then these two weighted projective lines have equivalent abelian
categories of coherent sheaves. As a corollary, we can show that the
triangulated categories of the graded singularity associated to a regular
system of weights has a full exceptional collection, which is expected from
homological mirror symmetries.
Main theorem of this paper will be generalized to more general one, to the
case when a regular system of weights is of genus zero, which will be given in
the joint paper with Kajiura and Saito. Since we need more detailed study of
regular systems of weights and some knowledge of algebraic geometry of
Deligne--Mumford stacks there, the author write a part of the result in this
paper to which another simple proof based on the idea by Geigle--Lenzing can be
applied.
| [
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},
{
"version": "v2",
"created": "Fri, 7 Mar 2008 08:52:16 GMT"
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] | 2008-03-07T00:00:00 | [
[
"Takahashi",
"Atsushi",
""
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