Mathematics

Authors and titles for December 2009

[1101] arXiv:0912.4673 [pdf, other]

Title: The $\Gamma$-structure of an additive track category

Gérald Gaudens

Subjects: Algebraic Topology (math.AT)

[1102] arXiv:0912.4674 [pdf, other]

Title: On Chebyshev polynomials and torus knots

A.M. Gavrilik, A.M. Pavlyuk

Comments: 6 pages (two-column UJP style)

Journal-ref: Ukr. J. Phys. 55 (2010) 129-134

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[1103] arXiv:0912.4683 [pdf, other]

Title: Asymptotic Expansions for the Heat Kernel and the Trace of a Stochastic Geodesic Flow

Sergio Albeverio, Astrid Hilbert, Vassily Kolokoltsov

Subjects: Functional Analysis (math.FA); Probability (math.PR)

[1104] arXiv:0912.4686 [pdf, other]

Title: Robust estimation of the scale and of the autocovariance function of Gaussian short and long-range dependent processes

Céline Lévy-Leduc (LTCI), Hélène Boistard (GREMAQ), Eric Moulines (LTCI), Murad S. Taqqu, Valderio A. Reisen

Subjects: Statistics Theory (math.ST)

[1105] arXiv:0912.4688 [pdf, other]

Title: Asymptotic properties of U-processes under long-range dependence

Céline Lévy-Leduc (LTCI), Hélène Boistard (GREMAQ), Eric Moulines (LTCI), Murad S. Taqqu, Valderio A. Reisen

Subjects: Statistics Theory (math.ST)

[1106] arXiv:0912.4703 [pdf, other]

Title: Structured matrices, continued fractions, and root localization of polynomials

Olga Holtz, Mikhail Tyaglov

Comments: 79 pages; new material added to the Introduction

Journal-ref: SIAM Review, 54 (2012), no.3, 421-509

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); History and Overview (math.HO); Rings and Algebras (math.RA)

[1107] arXiv:0912.4706 [pdf, other]

Title: Maslov index, Lagrangians, Mapping Class Groups and TQFT

Patrick M. Gilmer, Gregor Masbaum

Comments: 31 pages, 11 Figures. to appear in Forum Mathematicum

Journal-ref: Forum Math. 25 (2013), no. 5, 1067-1106

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[1108] arXiv:0912.4708 [pdf, other]

Title: Triangulated Structures for projective Modules

Boryana Dimitrova

Comments: 19 pages

Subjects: Category Theory (math.CT); Rings and Algebras (math.RA)

[1109] arXiv:0912.4713 [pdf, other]

Title: Invariance principles for switched systems with restrictions

J. L. Mancilla-Aguilar, R. A. Garcia

Comments: 29 pages, 2 Appendixes

Subjects: Optimization and Control (math.OC)

[1110] arXiv:0912.4720 [pdf, other]

Title: Discrete Energy Asymptotics on a Riemannian circle

J. S. Brauchart, D. P. Hardin, E. B. Saff

Journal-ref: Unif. Distrib. Theory 7 (2012), no. 2, 77--108

Subjects: Mathematical Physics (math-ph)

[1111] arXiv:0912.4725 [pdf, other]

Title: On the soliton dynamics under a slowly varying medium for generalized KdV equations

Claudio Muñoz

Comments: Submitted. Corrected some typos, updated references

Journal-ref: Analysis and PDE Vol. 4 (2011), No. 4, 573-638

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[1112] arXiv:0912.4727 [pdf, other]

Title: Twisting 4-manifolds along RP^2

Selman Akbulut

Comments: 5 papes, 5 figures. Appeared in Proceedings of GGT.

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG)

[1113] arXiv:0912.4736 [pdf, other]

Title: The prolific backbone for supercritical superdiffusions

Julien Berestycki, Andreas E. Kyprianou, Antonio Murillo

Subjects: Probability (math.PR)

[1114] arXiv:0912.4739 [pdf, other]

Title: On representation zeta functions of groups and a conjecture of Larsen and Lubotzky

Nir Avni, Benjamin Klopsch, Uri Onn, Christopher Voll

Comments: 7 pages. Research announcement; A shortened version of this version has appeared as N. Avni et al., "On representation zeta functions of groups and a conjecture of Larsen-Lubotzky", C. R. Acad. Sci. Paris, Ser. I (2010), doi:https://doi.org/10.1016/j.crma.2010.02.019

Subjects: Group Theory (math.GR)

[1115] arXiv:0912.4743 [pdf, other]

Title: A Wiener--Hopf Monte Carlo simulation technique for L\'{e}vy processes

A. Kuznetsov, A. E. Kyprianou, J. C. Pardo, K. van Schaik

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

Journal-ref: Annals of Applied Probability 2011, Vol. 21, No. 6, 2171-2190

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

[1116] arXiv:0912.4747 [pdf, other]

Title: Dyck Paths, Standard Young Tableaux, and Pattern Avoiding Permutations

Hilmar Gudmundsson

Comments: 15 pages, 4 figures. Submitted to a special edition of Pure Mathematics and Applications in 2009. Research supported by grant no. 060005013 from the Icelandic Research Fund

Subjects: Combinatorics (math.CO)

[1117] arXiv:0912.4748 [pdf, other]

Title: The chromatic number of almost stable Kneser hypergraphs

Frédéric Meunier

Subjects: Combinatorics (math.CO)

[1118] arXiv:0912.4751 [pdf, other]

Title: Integral points of bounded height on partial equivariant compactifications of vector groups

Antoine Chambert-Loir, Yuri Tschinkel

Comments: 34 pages; revised version; submitted

Journal-ref: Duke Math. J. 161, no. 15 (2012), 2799-2836

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[1119] arXiv:0912.4753 [pdf, other]

Title: Lie-like decompositions of groups definable in o-minimal structures

Annalisa Conversano

Comments: 43 pages

Subjects: Logic (math.LO)

[1120] arXiv:0912.4756 [pdf, other]

Title: An analogue of the BGG resolution for locally analytic principal series

Owen T. R. Jones

Comments: 36 pages; corrected proof of Theorem 26; extended results to locally analytic principal series for G(L); cut unnecessary expository material

Journal-ref: Journal of Number Theory 131 (2011), pp. 1616-1640

Subjects: Representation Theory (math.RT); Number Theory (math.NT)

[1121] arXiv:0912.4758 [pdf, other]

Title: On the q-extension of higher-order Euler polynomials

Taekyun Kim

Comments: 10 pages

Subjects: Number Theory (math.NT)

[1122] arXiv:0912.4761 [pdf, other]

Title: The fluctuations in the number of points of smooth plane curves over finite fields

Alina Bucur, Chantal David, Brooke Feigon, Matilde Lalín

Comments: 12 pages

Journal-ref: J. Number Theory 130 (2010), pp. 2528-2541

Subjects: Number Theory (math.NT)

[1123] arXiv:0912.4765 [pdf, other]

Title: Spectral dimension and random walks on the two dimensional uniform spanning tree

Martin T. Barlow, Robert Masson

Comments: 37 pages

Subjects: Probability (math.PR)

[1124] arXiv:0912.4767 [pdf, other]

Title: Extended Probabilities: Mathematical Foundations

Mark Burgin

Subjects: Mathematical Physics (math-ph)

[1125] arXiv:0912.4768 [pdf, other]

Title: A new construction of the $\sigma$-finite measures associated with submartingales of class $(\Sigma)$

Joseph Najnudel, Ashkan Nikeghbali

Subjects: Probability (math.PR)

[1126] arXiv:0912.4770 [pdf, other]

Title: Every plane graph of maximum degree 8 has an edge-face 9-colouring

Ross J. Kang, Jean-Sébastien Sereni, Matěj Stehlík

Comments: 29 pages, 1 figure; v2 corrects a contraction error in v1; to appear in SIDMA

Journal-ref: SIAM Journal on Discrete Mathematics 25(2): 514-533, 2011

Subjects: Combinatorics (math.CO)

[1127] arXiv:0912.4771 [pdf, other]

Title: Zeta measures and Thermodynamic Formalism for temperature zero

Artur O. Lopes, Jairo K. Mengue

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph)

[1128] arXiv:0912.4774 [pdf, other]

Title: Kummer surfaces associated with Seiberg-Witten curves

Andreas Malmendier

Comments: 26 pages, LaTex

Journal-ref: J. Geom. Phys. 62 (2012), no. 1, 107-123

Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

[1129] arXiv:0912.4775 [pdf, other]

Title: First eigenvalue of the $p$-Laplace operator along the Ricci flow

Jia-Yong Wu, Er-Min Wang, Yu Zheng

Comments: 28 pages, added statements and references, deleted verbose statements and corrected typos

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[1130] arXiv:0912.4778 [pdf, other]

Title: Large Non-Planar Graphs and an Application to Crossing-Critical Graphs

Guoli Ding, Bogdan Oporowski, Robin Thomas, Dirk Vertigan

Comments: To appear in Journal of Combinatorial Theory B. 20 pages. No figures. TeX

Subjects: Combinatorics (math.CO)

[1131] arXiv:0912.4783 [pdf, other]

Title: Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

Feimin Huang, Xiaoding Shi, Yi Wang

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[1132] arXiv:0912.4784 [pdf, other]

Title: Modeling and simulation with operator scaling

Serge Cohen, Mark M. Meerschaert, Jan Rosinski

Comments: 29 pages, 13 figures

Subjects: Probability (math.PR)

[1133] arXiv:0912.4791 [pdf, other]

Title: Strong cohomological rigidity of a product of projective spaces

Suyoung Choi, Dong Youp Suh

Journal-ref: Bull. Korean Math. Soc. 49(4) (2012), 761--765

Subjects: Algebraic Topology (math.AT)

[1134] arXiv:0912.4795 [pdf, other]

Title: New Computable Necessary Conditions for the Regularity Theory of Optimal Transportation

Paul W.Y. Lee

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[1135] arXiv:0912.4803 [pdf, other]

Title: A geometric approach to the two-dimensional Jacobian Conjecture

Alexander Borisov

Comments: 17 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)

[1136] arXiv:0912.4804 [pdf, other]

Title: Z-stability of crossed products by strongly outer actions

Hiroki Matui, Yasuhiko Sato

Subjects: Operator Algebras (math.OA)

[1137] arXiv:0912.4806 [pdf, other]

Title: Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields

Toshiyuki Ichiyama, Jun-ichi Inoguchi, Hajime Urakawa

Subjects: Differential Geometry (math.DG)

[1138] arXiv:0912.4809 [pdf, other]

Title: On the structure of simplicial categories associated to quasi-categories

Emily Riehl

Comments: 16 pages, expanded exposition

Journal-ref: Math. Proc. Camb. Phil. Soc. 150 (2011) 489-504

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

[1139] arXiv:0912.4812 [pdf, other]

Title: Joint Vertex Degrees in an Inhomogeneous Random Graph Model

K. Lin, G. Reinert

Comments: 30 pages, 9 figures

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

[1140] arXiv:0912.4814 [pdf, other]

Title: Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles

Claire Chavaudret (IMJ)

Journal-ref: Bulletin de la soci\'et\'e math\'ematique de France 141, 1 (2013) 47-106

Subjects: Dynamical Systems (math.DS)

[1141] arXiv:0912.4815 [pdf, other]

Title: Some results on Theory of Infinite Series and Divisor Sums

Nikos Bagis

Comments: 24 pages

Subjects: General Mathematics (math.GM)

[1142] arXiv:0912.4821 [pdf, other]

Title: On the sum of the dimension of a matrix subalgebra and its centralizer

Clément de Seguins Pazzis

Comments: 17 pages (withdrawn as it appears there is a much shorter proof available)

Subjects: Rings and Algebras (math.RA)

[1143] arXiv:0912.4827 [pdf, other]

Title: Garside groups and Yang-Baxter equation

Fabienne Chouraqui

Comments: This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010

Journal-ref: Communications in Algebra, Volume 38 n.12 (December2010)

Subjects: Group Theory (math.GR); Rings and Algebras (math.RA)

[1144] arXiv:0912.4828 [pdf, other]

Title: On different extremal bases for $\CC$-convex domains

Nikolai Nikolov, Peter Pflug, Pascal J. Thomas

Comments: Few typos have been corrected in v3

Journal-ref: Proc. Amer. Math. Soc. 141 (2013), 3223-3230

Subjects: Complex Variables (math.CV)

[1145] arXiv:0912.4834 [pdf, other]

Title: On the X-rank with respect to linear projections of projective varieties

Edoardo Ballico, Alessandra Bernardi

Comments: 10 pages

Journal-ref: Math. Nachr. 284, (2011), 17-18, pp. 2133-2140

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

[1146] arXiv:0912.4839 [pdf, other]

Title: Stationary waves to viscous heat-conductive gases in half space: existence, stability and convergence rate

Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu

Comments: 34 pages, 1 figure

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[1147] arXiv:0912.4844 [pdf, other]

Title: The de Rham homotopy theory and differential graded category

Syunji Moriya

Comments: 47 pages. final version. The final publication is available at this http URL

Journal-ref: Math. Z. 271 (2012), no. 3-4, 961-1010

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)

[1148] arXiv:0912.4845 [pdf, other]

Title: q-Euler numbers and polynomials associated with multiple q-zeta functions

Taekyun Kim

Comments: 12 pages

Subjects: Number Theory (math.NT)

[1149] arXiv:0912.4853 [pdf, other]

Title: Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation

R. Garifullin, B. Suleimanov, N. Tarkhanov

Comments: 13 pages, 3 figures

Journal-ref: Physics Letters A, Volume 374, Issue 13-14, 2010, p. 1420-1424.

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[1150] arXiv:0912.4854 [pdf, other]

Title: The Euler system of cyclotomic units and higher Fitting ideals

Tatsuya Ohshita

Comments: 30 pages

Subjects: Number Theory (math.NT)