Mathematics

Authors and titles for December 2007

[1001] arXiv:0712.4076 [pdf, other]

Title: Bilinear virial identities and applications

Fabrice Planchon, Luis Vega

Comments: 30 pages, final version to appear in the Annales Scientifiques de l'ENS

Subjects: Analysis of PDEs (math.AP)

[1002] arXiv:0712.4083 [pdf, other]

Title: The damped Pinney equation and its applications to dissipative quantum mechanics

Fernando Haas

Comments: 6 figures

Subjects: Mathematical Physics (math-ph)

[1003] arXiv:0712.4087 [pdf, other]

Title: On the difference of partial theta functions

Alexander Berkovich

Comments: 6 pages

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[1004] arXiv:0712.4088 [pdf, other]

Title: On Riesz Means of Eigenvalues

Evans M. Harrell, Lotfi Hermi

Comments: 26 pages; 3 figures; submitted

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[1005] arXiv:0712.4091 [pdf, other]

Title: Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase

Pavel Bleher, Karl Liechty

Comments: 22 pages, 7 figures

Subjects: Mathematical Physics (math-ph)

[1006] arXiv:0712.4092 [pdf, other]

Title: On the role of Convexity in Isoperimetry, Spectral-Gap and Concentration

Emanuel Milman

Comments: 45 pages, to appear in Inventiones Mathematicae; revised version

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[1007] arXiv:0712.4094 [pdf, other]

Title: Twisted planes

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Comments: 33 pages

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[1008] arXiv:0712.4096 [pdf, other]

Title: Error-Correction of Multidimensional Bursts

Tuvi Etzion, Eitan Yaakobi

Comments: 15 pages

Subjects: Information Theory (cs.IT)

[1009] arXiv:0712.4103 [pdf, other]

Title: On the Monotonicity of the Generalized Marcum and Nuttall Q-Functions

Vasilios M. Kapinas, Sotirios K. Mihos, George K. Karagiannidis

Comments: Published in IEEE Transactions on Information Theory, August 2009. Only slight formatting modifications

Journal-ref: IEEE Trans. Inf. Theory, vol. 55, no. 8, pp. 3701-3710, Aug. 2009

Subjects: Information Theory (cs.IT)

[1010] arXiv:0712.4106 [pdf, other]

Title: Orthogonal Polynomials from Hermitian Matrices

Satoru Odake, Ryu Sasaki

Comments: 53 pages, no figures. Several sentences and a reference are added. To be published in J. Math. Phys

Journal-ref: J.Math.Phys.49:053503,2008

Subjects: Classical Analysis and ODEs (math.CA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[1011] arXiv:0712.4109 [pdf, other]

Title: Cofiniteness conditions, projective covers and the logarithmic tensor product theory

Yi-Zhi Huang

Comments: 40 pages

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Representation Theory (math.RT)

[1012] arXiv:0712.4110 [pdf, other]

Title: Signed-eliminable graphs and free multiplicities on the braid arrangement

Takuro Abe, Koji Nuida, Yasuhide Numata

Comments: 19 pages. In version 3, the errors in the statement and the proof of Theorem 0.3 are corrected in the Appendix

Journal-ref: J. Lond. Math. Soc. (2) 80 (2009), no. 1, 121-134

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Combinatorics (math.CO)

[1013] arXiv:0712.4113 [pdf, other]

Title: Positive mass theorems for asymptotically de Sitter spacetimes

Mingxing Luo, Naqing Xie, Xiao Zhang

Comments: 24 pages, final version, to appear in Nuclear Physics B

Journal-ref: Nucl.Phys.B825:98-118,2010

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1014] arXiv:0712.4117 [pdf, other]

Title: Image of Schwartz Space Under Spectral Projection

Joydip Jana

Comments: 21 pages,V2

Subjects: Representation Theory (math.RT); Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[1015] arXiv:0712.4118 [pdf, other]

Title: A Characterization of Signed Graphs with Generalized Perfect Elimination Orderings

Koji Nuida

Comments: 18 pages; (v2) Reference updated (v3) Major update including title change, shortening of proof of main theorem, addition of applications of main theorem to special cases, reference update

Journal-ref: Discrete Mathematics vol.310, no.4 (2010) 819-831

Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG)

[1016] arXiv:0712.4123 [pdf, other]

Title: Long-Run Accuracy of Variational Integrators in the Stochastic Context

Nawaf Bou-Rabee, Houman Owhadi

Comments: 30 pages

Subjects: Numerical Analysis (math.NA)

[1017] arXiv:0712.4124 [pdf, other]

Title: Introduction to the Galois Theory of Linear Differential Equations

Michael F. Singer

Comments: 82 pages; some typos corrected

Subjects: Classical Analysis and ODEs (math.CA); Symbolic Computation (cs.SC)

[1018] arXiv:0712.4127 [pdf, other]

Title: On irreducible algebras of conformal endomorphisms over a linear algebraic group

Pavel Kolesnikov

Journal-ref: Journal of Mathematical Sciences 161 (2009) no. 1, 41--56

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[1019] arXiv:0712.4131 [pdf, other]

Title: On cluster algebras arising from unpunctured surfaces

Ralf Schiffler, Hugh Thomas

Comments: 24 page, 8 figures

Subjects: Representation Theory (math.RT); Combinatorics (math.CO)

[1020] arXiv:0712.4133 [pdf, other]

Title: Orthogonal involution on algebras of degree 16 and the Killing form of E8

Skip Garibaldi

Comments: Small revisions since v1

Journal-ref: in "Quadratic forms--algebra, arithmetic, and geometry", Contemporary Math., vol. 493 (2009), 131-162

Subjects: Rings and Algebras (math.RA)

[1021] arXiv:0712.4135 [pdf, other]

Title: On the Throughput of Secure Hybrid-ARQ Protocols for Gaussian Block-Fading Channels

Xiaojun Tang, Ruoheng Liu, Predrag Spasojevic, H. Vincent Poor

Comments: Submitted to IEEE Transactions on Information Theory

Subjects: Information Theory (cs.IT)

[1022] arXiv:0712.4137 [pdf, other]

Title: Uniqueness for the martingale problem associated with pure jump processes of variable order

Huili Tang

Subjects: Probability (math.PR)

[1023] arXiv:0712.4139 [pdf, other]

Title: Surfaces in three-dimensional Lie groups in terms of spinors

I.A. Taimanov

Comments: 18 pages

Journal-ref: RIMS Kokyuroku 1605 (2008), 133-150

Subjects: Differential Geometry (math.DG)

[1024] arXiv:0712.4142 [pdf, other]

Title: Analogues of the Jordan-Holder theorem for transitive G-sets

Greg Kuperberg, Michael Zieve

Subjects: Group Theory (math.GR); Algebraic Geometry (math.AG)

[1025] arXiv:0712.4151 [pdf, other]

Title: Packing 3-Vertex Paths in 2-Connected Graphs

Alexander Kelmans

Comments: 13 pages, 14 figures

Subjects: Combinatorics (math.CO)

[1026] arXiv:0712.4158 [pdf, other]

Title: Invariant measures on the space of horofunctions of a word hyperbolic group

Lewis Phylip Bowen

Comments: 37 pages. This new version corrects several typos including one in the statement of theorem 1.5

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR)

[1027] arXiv:0712.4160 [pdf, other]

Title: Quiver varieties and Beilinson-Drinfeld Grassmannians of type A

Ivan Mirković, Maxim Vybornov

Comments: 36 pages. Minor errors corrected on page 12, references added

Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)

[1028] arXiv:0712.4163 [pdf, other]

Title: The probability of entanglement

William Arveson

Comments: Significant revisions and clarifications, more references. 33 pages

Subjects: Operator Algebras (math.OA); Quantum Physics (quant-ph)

[1029] arXiv:0712.4185 [pdf, other]

Title: Appell polynomials and their relatives II. Boolean theory

Michael Anshelevich

Journal-ref: Indiana Univ. Math. J. 58 (2009), 929-968

Subjects: Operator Algebras (math.OA); Combinatorics (math.CO)

[1030] arXiv:0712.4199 [pdf, other]

Title: Edgeworth expansions in operator form

Zbigniew S. Szewczak

Comments: 12 pages

Journal-ref: Statist. Probab. Lett. 78 12 (2008), pp. 1583--1592

Subjects: Probability (math.PR); Spectral Theory (math.SP)

[1031] arXiv:0712.4209 [pdf, other]

Title: The Generalized Random Energy Model and its Application to the Statistical Physics of Ensembles of Hierarchical Codes

Neri Merhav

Comments: 43 pages, 1 figure, submitted to the IEEE Transactions on Information Theory

Subjects: Information Theory (cs.IT)

[1032] arXiv:0712.4211 [pdf, other]

Title: Martingale proofs of many-server heavy-traffic limits for Markovian queues

Guodong Pang, Rishi Talreja, Ward Whitt

Comments: Published in at this http URL the Probability Surveys (this http URL) by the Institute of Mathematical Statistics (this http URL)

Journal-ref: Probability Surveys 2007, Vol. 4, 193-267

Subjects: Probability (math.PR)

[1033] arXiv:0712.4214 [pdf, other]

Title: Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity

Philippe G. LeFloch, Cristinel Mardare, Sorin Mardare

Comments: 29 pages

Subjects: Classical Analysis and ODEs (math.CA); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[1034] arXiv:0712.4223 [pdf, other]

Title: A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients

Ting Zhang, Daoyuan Fang

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[1035] arXiv:0712.4228 [pdf, other]

Title: The Cohomology of Transitive Lie Algebroids

Z. Chen, Z.-J. Liu

Comments: 17pages, no figures

Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[1036] arXiv:0712.4236 [pdf, other]

Title: Generalized backscattering and the Lax-Phillips transform

Richard Melrose, Gunther Uhlmann

Comments: Minor changes, typos corrected, references added

Subjects: Analysis of PDEs (math.AP)

[1037] arXiv:0712.4244 [pdf, other]

Title: Virtually free pro-p groups whose torsion elements have finite centralizer

W. Herfort, P.A. Zalesski

Subjects: Group Theory (math.GR)

[1038] arXiv:0712.4251 [pdf, other]

Title: The one-dimensional stratum in the boundary of the moduli stack of stable curves

Joerg Zintl

Comments: 34 pages

Subjects: Algebraic Geometry (math.AG)

[1039] arXiv:0712.4253 [pdf, other]

Title: Determinants of elliptic hypergeometric integrals

E.M. Rains, V.P. Spiridonov

Comments: 17 pages; minor modifications

Journal-ref: Funct. Analysis and its Appl. 43 (2009), no. 4, 297-311

Subjects: Classical Analysis and ODEs (math.CA)

[1040] arXiv:0712.4254 [pdf, other]

Title: Homology of the mapping class group for surfaces of genus 2 with boundary

Jochen Abhau, Carl-Friedrich Boedigheimer, Ralf Ehrenfried

Comments: This is the version published by Geometry & Topology Monographs on 29 April 2008

Journal-ref: Geom. Topol. Monogr. 14 (2008) 1-25

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT)

[1041] arXiv:0712.4255 [pdf, other]

Title: On 3-decomposable geometric drawings of $K_n$

Bernardo Abrego, Silvia Fernandez-Merchant, Jesus Leanos, Gelasio Salazar

Subjects: Combinatorics (math.CO)

[1042] arXiv:0712.4259 [pdf, other]

Title: The skew spectrum of functions on finite groups and their homogeneous spaces

Risi Kondor

Comments: 10 pages

Subjects: Representation Theory (math.RT); Group Theory (math.GR)

[1043] arXiv:0712.4266 [pdf, other]

Title: A singular perturbation problem for a quasilinear operator satisfying the natural growth condition of Lieberman

Sandra Martinez, Noemi Wolanski

Subjects: Analysis of PDEs (math.AP)

[1044] arXiv:0712.4267 [pdf, other]

Title: Hyperbolic dimension and radial Julia sets of transcendental functions

Lasse Rempe

Comments: 11 pages

Journal-ref: Proc. Amer. Math. Soc. 137 (2009), 1411-1420.

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[1045] arXiv:0712.4276 [pdf, other]

Title: Excursion sets of stable random fields

Robert J. Adler, Gennady Samorodnitsky, Jonathan E. Taylor

Comments: 35 pages, 1 figure

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[1046] arXiv:0712.4282 [pdf, other]

Title: On 1-Harmonic Functions

Shihshu Walter Wei

Comments: 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 this http URL

Journal-ref: SIGMA 3 (2007), 127, 10 pages

Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)

[1047] arXiv:0712.4294 [pdf, other]

Title: Hyperbolic Geometry and Distance Functions on Discrete Groups

Anne Thomas

Comments: Submitted in partial fulfillment of the requirements of the degree of Bachelor of Science with Honours in Pure Mathematics, University of New South Wales, Australia, June 2002. 105 pages

Subjects: Group Theory (math.GR); History and Overview (math.HO)

[1048] arXiv:0712.4295 [pdf, other]

Title: Short Rational Generating Functions For Multiobjective Linear Integer Programming

Victor Blanco, Justo Puerto

Comments: 18 pages

Subjects: Optimization and Control (math.OC)

[1049] arXiv:0712.4296 [pdf, other]

Title: Letters from William Burnside to Robert Fricke: Automorphic Functions, and the Emergence of the Burnside Problem

Clemens Adelmann, Eberhard H.-A. Gerbracht

Comments: documentclass amsart, 17 pages

Journal-ref: Archive for History of Exact Sciences 63 (2009), 33-50

Subjects: History and Overview (math.HO); Group Theory (math.GR)

[1050] arXiv:0712.4299 [pdf, other]

Title: P-symbols, Heun Identities, and 3F2 Identities

Robert S. Maier

Comments: 20 pages

Journal-ref: pp. 139-159 in `Special Functions and Orthogonal Polynomials' (eds. D. Dominici and R. S. Maier), American Mathematical Society, 2008

Subjects: Classical Analysis and ODEs (math.CA)