Mathematics

Authors and titles for September 2007

[401] arXiv:0709.1677 [pdf, other]

Title: A remark on Frobenius descent for vector bundles

Holger Brenner, Almar Kaid

Comments: Final version. Several changes and improvements. In particular, we added the comments of the referee which helped to simplify the proof of Lemma 2.1 and to clarify Example 2.5 via Lemma 2.4. To appear in Michigan Math. J. 2008

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

[402] arXiv:0709.1678 [pdf, other]

Title: Asymptotic integration and dispersion for hyperbolic equations

Tokio Matsuyama, Michael Ruzhansky

Comments: 30 pages

Journal-ref: Adv. Diff. Equations, 15 (2010), 721-756.

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[403] arXiv:0709.1679 [pdf, other]

Title: The extremal values of the Wiener index of a tree with given degree sequence

Hua Wang

Subjects: Combinatorics (math.CO)

[404] arXiv:0709.1681 [pdf, other]

Title: Fractional dynamical systems and applications in mechanics and economics

Mihai Boleantu, Dumitru Opris

Comments: Dedicated to Acad. Radu Miron at his 80th birthday

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)

[405] arXiv:0709.1688 [pdf, other]

Title: The Generalized Burnside Theorem

S. Bachmuth

Comments: 7 pages. The only material change from the original version is the abstract. The original abstract is incorrect as stated. The proofs in the original have been left untouched here. We have, however, taken this opportunity to add additional comments in several places and removed an erroneous statement from the introduction as well as the abstract

Subjects: Group Theory (math.GR)

[406] arXiv:0709.1689 [pdf, other]

Title: Seifert surfaces, Commutators and Vassiliev invariants

Efstratia Kalfagianni, Xiao-Song Lin

Comments: 35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)

Journal-ref: J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329

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

[407] arXiv:0709.1703 [pdf, other]

Title: Existence, uniqueness and approximation of a stochastic Schr\"odinger equation: the diffusive case

Clément Pellegrini

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

Journal-ref: Annals of Probability 2008, Vol. 36, No. 6, 2332-2353

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[408] arXiv:0709.1708 [pdf, other]

Title: Symplectic symmetries of 4-manifolds

Weimin Chen, Slawomir Kwasik

Comments: 28 pages, 1 figure, 1 appendix, published

Journal-ref: Topology, Vol. 46, No.2 (2007), 103-128

Subjects: Geometric Topology (math.GT); Symplectic Geometry (math.SG)

[409] arXiv:0709.1710 [pdf, other]

Title: Symmetries and exotic smooth structures on a $K3$ surface

Weimin Chen, Slawomir Kwasik

Comments: 46 pages, final version, Journal of Topology, to appear

Subjects: Geometric Topology (math.GT); Symplectic Geometry (math.SG)

[410] arXiv:0709.1711 [pdf, other]

Title: A Hyperelliptic View on Teichmuller Space. I

Sasha Anan'in, Eduardo C. Bento Goncalves

Comments: 25 pages, 44 figures, exposition slightly improved

Subjects: Geometric Topology (math.GT)

[411] arXiv:0709.1717 [pdf, other]

Title: Lattice and Schroder paths with periodic boundaries

Joseph P.S. Kung, Anna de Mier, Xinyu Sun, Catherine H. Yan

Comments: 22 pages, 1 figure; Revised version, references added and corrected typos

Subjects: Combinatorics (math.CO)

[412] arXiv:0709.1719 [pdf, other]

Title: Mean-field conditions for percolation on finite graphs

Asaf Nachmias

Comments: 29 pages. to appear in Geometric and Functional Analysis

Subjects: Probability (math.PR); Combinatorics (math.CO)

[413] arXiv:0709.1723 [pdf, other]

Title: Statistical properties of one-dimensional maps with critical points and singularities

K. Díaz-Ordaz, M.P. Holland, S. Luzzatto

Comments: 31 pages

Journal-ref: Stochastics and Dynamics, vol 6, issue 4 (2006), pp. 423-458

Subjects: Dynamical Systems (math.DS)

[414] arXiv:0709.1726 [pdf, other]

Title: A Haar-like Construction for the Ornstein Uhlenbeck Process

Thibaud Taillefumier, Marcelo O. Magnasco

Comments: 20 pages, 3 figures

Subjects: Probability (math.PR)

[415] arXiv:0709.1733 [pdf, other]

Title: Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions

Jaideep Mulherkar, Bruno Nachtergaele, Robert Sims, Shannon Starr

Journal-ref: J. Stat. Mech. (2008) P01016

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

[416] arXiv:0709.1734 [pdf, other]

Title: Residual Velocities in Steady Free Boundary Value Problems of Vector Laplacian Type

Wan Chen, Brian Wetton

Comments: 25 pages, 1 figure, 3 tables

Subjects: Numerical Analysis (math.NA)

[417] arXiv:0709.1738 [pdf, other]

Title: Symmetrized cut-join equation of Marino-Vafa formula

Lin Chen

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)

[418] arXiv:0709.1739 [pdf, other]

Title: Undecidability in function fields of positive characteristic

Kirsten Eisentraeger, Alexandra Shlapentokh

Comments: 12 pages; strengthened main theorem, proved undecidability in the language of rings without parameters

Subjects: Number Theory (math.NT); Logic (math.LO)

[419] arXiv:0709.1740 [pdf, other]

Title: Addendum to the paper "Two-Dimensional Infinite Prandtl Number Convection: Structure of Bifurcated Solutions, J. Nonlinear Sci., 17(3), 199-220, 2007"

Tian Ma, Jungho Park, Shouhong Wang

Subjects: Mathematical Physics (math-ph)

[420] arXiv:0709.1742 [pdf, other]

Title: Non-semisimple Macdonald polynomials

Ivan Cherednik

Comments: The changes vs. the first variant: a) minor corrections and improvements, b) the q-q'-duality for the affine exponents was added, c) the connectionwith the classical Poincare polynomial is more explicit now, d) the case when t are roots of unity (generic q) was incorporated; v4: to be published by Selecta Math.: editing, better references

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[421] arXiv:0709.1746 [pdf, other]

Title: On exit times of Levy-driven Ornstein--Uhlenbeck processes

K. Borovkov, A. Novikov

Comments: 12 pages

Subjects: Probability (math.PR)

[422] arXiv:0709.1751 [pdf, other]

Title: Asymptotics for the Wiener sausage among Poissonian obstacles

Ryoki Fukushima

Comments: 19 pages, Major revision made for publication in J. Stat. Phys

Journal-ref: Journal of Statistical Physics 2008, Vol. 133 No 4, 639-657

Subjects: Probability (math.PR); Mathematical Physics (math-ph)

[423] arXiv:0709.1757 [pdf, other]

Title: On the Four Vertex Theorem on planes with radial density $e^{\phi(r)}$

Doan The Hieu, Tran Le Nam

Comments: 7 pages, 2figures

Subjects: Differential Geometry (math.DG)

[424] arXiv:0709.1758 [pdf, other]

Title: Difference sets and Polynomials of prime variables

Hongze Li, Hao Pan

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

[425] arXiv:0709.1762 [pdf, other]

Title: Relative Singularity Categories and Gorenstein-Projective Modules

Xiao-Wu Chen

Comments: Comments are welcome

Journal-ref: Mathematische Nachrichten, 284 (No. 2-3) (2011), 199-212

Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT)

[426] arXiv:0709.1767 [pdf, other]

Title: K-theory of quiver varieties, q-Fock space and nonsymmetric Macdonald polynomials

Kentaro Nagao

Comments: 28 pages

Journal-ref: Osaka J. Math. 46 (2009), no. 3, 877--907

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[427] arXiv:0709.1768 [pdf, other]

Title: Cohomology of $\mathfrak {osp}(1|2)$ acting on linear differential operators on the supercircle $S^{1|1}

Imed Basdouri, Mabrouk Ben Ammar

Journal-ref: Letters in Mathematical Physics (2007) 81:239-251

Subjects: Representation Theory (math.RT)

[428] arXiv:0709.1769 [pdf, other]

Title: Feynman integrals and difference equations

S. Moch, C. Schneider

Comments: 11 pages latex, 2 figures, Proceedings of the 11th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 07), Amsterdam, The Netherlands

Journal-ref: PoSACAT2007:083,2007

Subjects: Mathematical Physics (math-ph)

[429] arXiv:0709.1774 [pdf, other]

Title: A parametrized version of the Borsuk Ulam theorem

Thomas Schick (Georg-August Universität Göttingen), Robert Simon (London School of Economics), Stanislav Spiez (Polish Academy of Sciences, Warszawa), Henryk Torunczyk (Warsaw University, Warszawa)

Comments: 15 pages, v2: typos corrected, v3: missing bibliography added, v4: completely rewritten version with (hopefully) much clearer exposition. Section on relation to game theory added. v5+v6: small typographical and stylistic correction, v7: reference to related work added. to appear in Bulletin of the London Math. Society

Journal-ref: Bull. Lond. Math. Soc. 43 (2011), no. 6, 1035-1047

Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

[430] arXiv:0709.1776 [pdf, other]

Title: Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang

Comments: 30 pages

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

[431] arXiv:0709.1778 [pdf, other]

Title: A local homology theory for linearly compact modules

Nguyen Tu Cuong, Tran Tuan Nam

Comments: 24 pages

Subjects: Commutative Algebra (math.AC); Rings and Algebras (math.RA)

[432] arXiv:0709.1787 [pdf, other]

Title: Dismantling sparse random graphs

Svante Janson, Andrew Thomason

Comments: 7 pages

Subjects: Combinatorics (math.CO)

[433] arXiv:0709.1788 [pdf, other]

Title: Leonhard Euler and a q-analogue of the logarithm

Erik Koelink, Walter Van Assche

Comments: 13 pages, to appear in Proc. AMS

Journal-ref: Proc AMS 137 (2009), no. 5, 1663-1676

Subjects: Classical Analysis and ODEs (math.CA); History and Overview (math.HO)

[434] arXiv:0709.1793 [pdf, other]

Title: Effective dislocation lines in continuously dislocated crystals. I. Material anholonomity

Andrzej Trzesowski

Comments: Keywords. Anholonomity, Bravais moving frame, Burgers vector, crystal surfaces, dislocation density, integral manifolds, Killing vector, Lie algebra, long-range distortion, Riemannian space, short-range order, self-balance equations

Journal-ref: Journal of Technical Physics, vol. 48, 3-4, pp. 193-214, 2007.

Subjects: Mathematical Physics (math-ph)

[435] arXiv:0709.1798 [pdf, other]

Title: Effective dislocation lines in continuously dislocated crystals. II. Congruences of effective dislocations

Andrzej Trzesowski

Comments: Keywords. Anholonomity, crystal surfaces, dislocation density, effective dislocation lines, Frenet formulae, integral manifolds, local Burgers vector, minimal varieties, moving frames, principal congruences, Riemannian space, slip, self-energy, Volterra dislocations

Journal-ref: Journal of Technical Physics, vol. 49, 1, pp. 53-74, 2008.

Subjects: Mathematical Physics (math-ph)

[436] arXiv:0709.1799 [pdf, other]

Title: Symplectically aspherical manifolds

Jarek Kedra, Yuli Rudyak, Aleksy Tralle

Comments: AMSLaTeX, corrected version

Journal-ref: J. Fixed Point Theory Appl. 3(2008),1-21

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

[437] arXiv:0709.1801 [pdf, other]

Title: Campbell equilibrium equation and pseudo-likelihood estimation for non-hereditary Gibbs point processes

David Dereudre, Frédéric Lavancier

Comments: Published in at this http URL the Bernoulli (this http URL) by the International Statistical Institute/Bernoulli Society (this http URL)

Journal-ref: Bernoulli 2009, Vol. 15, No. 4, 1368-1396

Subjects: Statistics Theory (math.ST)

[438] arXiv:0709.1802 [pdf, other]

Title: Effective dislocation lines in continuously dislocated crystals. III. Kinematics

Andrzej Trzesowski

Comments: Keywords. Anholonomity, crystal surfaces, dislocation density, dislocation speed, glide surfaces, instantaneous metric tensor, Killing vector, kinematics, material flow, Orowan kinematic relation, rate of stretchings, time-dependent Bravais moving frame

Journal-ref: Journal of Technical Physics, vol. 49, 2, pp. 79-99, 2008.

Subjects: Mathematical Physics (math-ph)

[439] arXiv:0709.1826 [pdf, other]

Title: Tropical analysis of plurisubharmonic singularities

Alexander Rashkovskii

Comments: conference talk; slightly extended, final version: an introduction and sketch of a proof added, some other minor changes

Journal-ref: Tropical and Idempotent Mathematics. Contemporary Mathematics, Vol. 495, 305-315. AMS, 2009

Subjects: Complex Variables (math.CV)

[440] arXiv:0709.1837 [pdf, other]

Title: Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms

Xiang Ma, Peng Wang

Comments: 19 pages

Journal-ref: Science in China (Series A), Vol. 51(2008), No. 9, 1561-1576

Subjects: Differential Geometry (math.DG)

[441] arXiv:0709.1865 [pdf, other]

Title: Orthonormal dilations of Parseval wavelets

Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga, Qiyu Sun

Comments: v2, improved introduction according to the referee's suggestions, corrected some typos. Accepted for Mathematische Annalen

Journal-ref: Math. Ann. 341 (2008), no. 3, 483--515.

Subjects: Functional Analysis (math.FA)

[442] arXiv:0709.1890 [pdf, other]

Title: Freeness of Conic-Line Arrangements in $\mathbb P^2$

Hal Schenck, Stefan O. Tohaneanu

Comments: 19 pages, 9 figures

Journal-ref: Commentarii Mathematici Helvetici, 84 (2009) 235-258

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

[443] arXiv:0709.1897 [pdf, other]

Title: Energy Optimal Control for Quantum System Evolving on SU(1,1)

Jian-Wu Wu, Chun-Wen Li, Jing Zhang, Tzyh-Jong Tarn

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[444] arXiv:0709.1905 [pdf, other]

Title: On the lower central series of an associative algebra

Galyna Dobrovolska, John Kim, Xiaoguang Ma, Pavel Etingof

Comments: 23 pages, latex, corrected some more typos

Journal-ref: Journal of Algebra, Volume 320, Issue 1, 1 July 2008, Pages 213-237

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[445] arXiv:0709.1909 [pdf, other]

Title: Asymptotics and Sequential Closures of Continued Fractions and Generalizations

Douglas Bowman, James Mc Laughlin

Comments: Revised Version: intermediate version loaded by mistake earlier. 52 pages, 3 figures, final version may be slightly different. Keywords: Limit Periodic Continued Fractions, $q$-Continued Fractions, Continued Fractions, Poincaré-type Recurrences, $q$-series, Infinite Products, Asymptotics, sequential closures, Ramanujan, Cauchy Distribution

Subjects: Complex Variables (math.CV); Number Theory (math.NT)

[446] arXiv:0709.1911 [pdf, other]

Title: The K\"unneth formula for nuclear $DF$-spaces and Hochschild cohomology

Zinaida A. Lykova

Comments: 31 pages

Subjects: K-Theory and Homology (math.KT); Functional Analysis (math.FA)

[447] arXiv:0709.1914 [pdf, other]

Title: Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibr\'ees lisses

Mario Ponce

Subjects: Dynamical Systems (math.DS)

[448] arXiv:0709.1918 [pdf, other]

Title: Chaoticity for multi-class systems and exchangeability within classes

Carl Graham (CMAP)

Comments: Third revision, v4. The paper is similar to the second revision v3, with several improvements

Subjects: Probability (math.PR)

[449] arXiv:0709.1919 [pdf, other]

Title: Symmetric $\alpha$-stable subordinators and Cauchy problems

Erkan Nane

Comments: 7 pages, survey paper, changes to the initial use of fractional Cauchy problem

Journal-ref: IJPAM (International Journal of Pure and Applied Mathematics) Volume 42 no.2 (2008), 217-225

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[450] arXiv:0709.1929 [pdf, other]

Title: Explicit representation of Green function for 3Dimensional exterior Helmholtz equation

P.Cruz, E.L. Lakshtanov

Journal-ref: Theoretical and Mathematical Physics Volume 157, Number 2, 1503-1513, 2008

Subjects: Mathematical Physics (math-ph)