Mathematics

Authors and titles for October 2009

[1] arXiv:0910.0036 [pdf, other]

Title: Non--Vanishing functions and Toeplitz Operators on Tube--Type Domains

Adel B. Badi

Subjects: Operator Algebras (math.OA)

[2] arXiv:0910.0038 [pdf, other]

Title: h-analogue of Fibonacci Numbers

H.B. Benaoum

Comments: 21 pages, No figures

Subjects: Mathematical Physics (math-ph)

[3] arXiv:0910.0039 [pdf, other]

Title: Analysis of a Mathematical Model of Ischemic Cutaneous wounds

Avner Friedman, Bei Hu, Chuan Xue

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:0910.0040 [pdf, other]

Title: Extremal Betti numbers of Rips complexes

Michael Goff

Subjects: Combinatorics (math.CO)

[5] arXiv:0910.0042 [pdf, other]

Title: Lower Bounds for Cubical Pseudomanifolds

Steven Klee

Comments: 14 pages

Subjects: Combinatorics (math.CO)

[6] arXiv:0910.0044 [pdf, other]

Title: The Discrete and Continuum Broken Line Process

Leonardo T. Rolla, Vladas Sidoravicius, Donatas Surgailis, Maria E. Vares

Journal-ref: Markov Processes and Related Fields, v. 16, p. 79-116 (2010)

Subjects: Probability (math.PR)

[7] arXiv:0910.0047 [pdf, other]

Title: A Tasty Combination: Multivariable Calculus and Differential Forms

Edray Herber Goins, Talitha M. Washington

Comments: 15 pages, 4 figures

Subjects: Differential Geometry (math.DG); History and Overview (math.HO)

[8] arXiv:0910.0049 [pdf, other]

Title: Semi-Magic Squares and Elliptic Curves

Edray Herber Goins

Subjects: Number Theory (math.NT)

[9] arXiv:0910.0056 [pdf, other]

Title: The canonical embedding of an unramified morphism in an \'etale morphism

David Rydh

Comments: 18 pages (uses TikZ for figures); some minor corrections; correct proof that E_{X/Y} is locally of finite presentation (Lemma 3.2 and Appendix C); final version to appear in Math. Z

Journal-ref: Math. Z. 268(3-4), 2011, p. 707-723

Subjects: Algebraic Geometry (math.AG)

[10] arXiv:0910.0057 [pdf, other]

Title: Random Sturm Liouville Operators

Rafael del Rio

Subjects: Spectral Theory (math.SP); Functional Analysis (math.FA)

[11] arXiv:0910.0065 [pdf, other]

Title: Non-existence of Ramanujan congruences in modular forms of level four

Michael Dewar

Comments: 19 pages

Journal-ref: Can. J. Math.-J. Can. Math. 63 (2011) 1284-1306

Subjects: Number Theory (math.NT)

[12] arXiv:0910.0067 [pdf, other]

Title: On the Borel-Cantelli Lemma and its Generalization

Chunrong Feng, Liangpan Li, Jian Shen

Comments: 5 Pages

Subjects: Probability (math.PR)

[13] arXiv:0910.0069 [pdf, other]

Title: Directed polymers and the quantum Toda lattice

Neil O'Connell

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 2012, Vol. 40, No. 2, 437-458

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

[14] arXiv:0910.0070 [pdf, other]

Title: On the non-existence of simple congruences for quotients of Eisenstein series

Michael Dewar

Comments: 7 pages

Subjects: Number Theory (math.NT)

[15] arXiv:0910.0078 [pdf, other]

Title: Grid diagrams and Heegaard Floer invariants

Ciprian Manolescu, Peter Ozsvath, Dylan Thurston

Comments: 55 pages, 14 figures; several minor changes

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

[16] arXiv:0910.0079 [pdf, other]

Title: Rank-width and Tree-width of H-minor-free Graphs

Fedor V. Fomin, Sang-il Oum, Dimitrios M. Thilikos

Comments: 17 pages

Journal-ref: European J. Combin. 31(2010 Oct)(7), pp. 1617-1628

Subjects: Combinatorics (math.CO)

[17] arXiv:0910.0081 [pdf, other]

Title: Good filtrations and $F$-purity of invariant subrings

Mitsuyasu Hashimoto

Comments: 5 pages, corrected some errors and replaced a reference

Subjects: Commutative Algebra (math.AC); Representation Theory (math.RT)

[18] arXiv:0910.0083 [pdf, other]

Title: Macdonald operators and homological invariants of the colored Hopf link

Hidetoshi Awata, Hiroaki Kanno

Comments: 31 pages. Published version with an additional appendix

Journal-ref: J.Phys.A44:375201,2011

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Geometric Topology (math.GT)

[19] arXiv:0910.0085 [pdf, other]

Title: Time scales: from Nabla calculus to Delta calculus and vice versa via duality

M. Cristina Caputo

Comments: Changed some minor typos

Subjects: Optimization and Control (math.OC); Classical Analysis and ODEs (math.CA)

[20] arXiv:0910.0089 [pdf, other]

Title: Vey theorem in infinite dimensions and its application to KdV

Sergei Kuksin, Galina Perelman

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

[21] arXiv:0910.0090 [pdf, other]

Title: On the Abelianization of Congruence Subgroups of Aut(F_2)

Daniel Appel

Comments: Corrected typos and added two references

Subjects: Group Theory (math.GR)

[22] arXiv:0910.0091 [pdf, other]

Title: Frequency sweep for a beam system with local unilateral contact modeling satellite solar arrays

Hamad Hazim (JAD), B. Rousselet (JAD)

Journal-ref: Tendances des applications math\'ematiques en Tunisie, Algerie, Maroc, Morocco (2009)

Subjects: Numerical Analysis (math.NA)

[23] arXiv:0910.0092 [pdf, other]

Title: Lectures on supergeometry

G. Sardanashvily

Comments: 45 pages

Subjects: Mathematical Physics (math-ph)

[24] arXiv:0910.0093 [pdf, other]

Title: An invariance group for a linear combination of two Saalsch\"utzian ${}_4F_3(1)$ hypergeometric series

Ilia D. Mishev

Comments: 15 pages

Subjects: Classical Analysis and ODEs (math.CA)

[25] arXiv:0910.0094 [pdf, other]

Title: Numerical and Experimental Study for a Beam System with Local Unilateral Contact Modeling Satellite Solar Arrays

Hamad Hazim (JAD), B. Rousselet (JAD), Neil Ferguson

Journal-ref: The 11th European Spacecraft Structures, Materials and Mechanical Testing Conference (ECSSMMT 11), Toulouse : France (2009)

Subjects: Numerical Analysis (math.NA)

[26] arXiv:0910.0095 [pdf, other]

Title: The concept of primes and the algorithm for counting the greatest common divisor in Ancient China

Shaohua Zhang

Comments: 7 pages; The paper have been improved

Subjects: History and Overview (math.HO)

[27] arXiv:0910.0096 [pdf, other]

Title: Gr\"obner-Shirshov bases for Coxeter groups I

Yuqun Chen, Cihua Liu

Comments: 21 papes

Subjects: Group Theory (math.GR)

[28] arXiv:0910.0098 [pdf, other]

Title: Non-nilpotent graph of a group

Alireza Abdollahi, Mohammad Zarrin

Comments: to appear in Communications in Algebra

Subjects: Group Theory (math.GR)

[29] arXiv:0910.0100 [pdf, other]

Title: The fundamental group of a generalized trigonal curve

Alex Degtyarev

Journal-ref: Osaka J. Math., 48:3 (2011), 749--782

Subjects: Algebraic Geometry (math.AG)

[30] arXiv:0910.0105 [pdf, other]

Title: Generalized Donaldson-Thomas invariants

Dominic Joyce

Comments: 35 pages. Written for "Surveys in Differential Geometry". (v2) citations updated, reference added

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

[31] arXiv:0910.0114 [pdf, other]

Title: On the periods of some Feynman integrals

Francis C. S. Brown

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph)

[32] arXiv:0910.0120 [pdf, other]

Title: Inversion of series and the cohomology of the moduli spaces $\mathcal{M}^{\delta}_{0,n}$

Francis Brown, Jonas Bergström

Subjects: Algebraic Geometry (math.AG)

[33] arXiv:0910.0122 [pdf, other]

Title: The algebra of cell-zeta values

Francis Brown, Sarah Carr, Leila Schneps

Journal-ref: Compositio Math. 146 (2010) 731-771

Subjects: Number Theory (math.NT)

[34] arXiv:0910.0130 [pdf, other]

Title: The quasi-invariance property for the Gamma kernel determinantal measure

Grigori Olshanski

Comments: 53 pages, 2 figures; Version 2: minor corrections

Journal-ref: Advances in Mathematics 226 (2011), 2305-2350

Subjects: Probability (math.PR)

[35] arXiv:0910.0131 [pdf, other]

Title: Orientations and Connective Structures on 2-vector Bundles

Thomas Kragh

Comments: 16 pages, changed some typos and references and made the introduction a little more concise

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

[36] arXiv:0910.0137 [pdf, other]

Title: Affine processes on positive semidefinite matrices

Christa Cuchiero, Damir Filipović, Eberhard Mayerhofer, Josef Teichmann

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. 2, 397-463

Subjects: Probability (math.PR); Computational Finance (q-fin.CP)

[37] arXiv:0910.0142 [pdf, other]

Title: Automorphic Lefschetz properties via $L^2$ cohomology

Mathieu Cossutta (DMA, Epfl)

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

[38] arXiv:0910.0149 [pdf, other]

Title: Perturbation approaches and Taylor series

Francisco M. Fernandez

Subjects: Mathematical Physics (math-ph)

[39] arXiv:0910.0155 [pdf, other]

Title: Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators

Andreas Kriegl, Peter W. Michor, Armin Rainer

Comments: 8 pages

Journal-ref: Integral Equations and Operator Theory 71,3 (2011), 407-416

Subjects: Functional Analysis (math.FA); Spectral Theory (math.SP)

[40] arXiv:0910.0156 [pdf, other]

Title: Regularity of the laws of shot noise series and of related processes

Jean-Christophe Breton

Subjects: Probability (math.PR)

[41] arXiv:0910.0157 [pdf, other]

Title: On the etale fundamental groups of arithmetic schemes

Feng-Wen An

Comments: 11 pages. Made changes in: Section 1.1, Page 2; Section 2.2, Page 3; Section 2.3, Page 4

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

[42] arXiv:0910.0170 [pdf, other]

Title: A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$

S. Montaldo, A. Ratto

Comments: 10 pages

Subjects: Differential Geometry (math.DG)

[43] arXiv:0910.0172 [pdf, other]

Title: Global attractor for weakly damped Nonlinear Schr\"odinger equations in $L^2(\R)$

Olivier Goubet (LAMFA), Luc Molinet (LAGA)

Journal-ref: Nonlinear Analysis Theory Methods and Applications 71 (2009) 317-320

Subjects: Analysis of PDEs (math.AP)

[44] arXiv:0910.0177 [pdf, other]

Title: Analytic factorization of Lie group representations

Heiko Gimperlein, Bernhard Krötz, Christoph Lienau

Comments: 14 pages

Journal-ref: J. Funct. Anal. 262 (2012), 667--681

Subjects: Representation Theory (math.RT)

[45] arXiv:0910.0188 [pdf, other]

Title: The Gauss-Bonnet Theorem for the noncommutative two torus

Alain Connes, Paula Tretkoff

Comments: 17 pages, 1 Figure

Subjects: Quantum Algebra (math.QA); Operator Algebras (math.OA)

[46] arXiv:0910.0197 [pdf, other]

Title: A cornucopia of pythagorean triangles

Konstantine Zelator

Comments: 16 pages, 2 figures

Subjects: History and Overview (math.HO)

[47] arXiv:0910.0199 [pdf, other]

Title: A Minimal Lamination with Cantor Set-Like Singularities

Stephen J. Kleene

Comments: 15 pages, 3 figures, typos corrected

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

[48] arXiv:0910.0201 [pdf, other]

Title: Addendum to: "Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras"

S. Doty

Comments: 3 pages

Subjects: Quantum Algebra (math.QA)

[49] arXiv:0910.0208 [pdf, other]

Title: Twisting the quantum grassmannian

S Launois, T H Lenagan

Comments: 15 pages

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

[50] arXiv:0910.0211 [pdf, other]

Title: Searching the (really) real general solution of 2D Laplace differential equation

Gianluca Argentini

Comments: None new, but re-view

Subjects: Analysis of PDEs (math.AP); Computational Engineering, Finance, and Science (cs.CE); Fluid Dynamics (physics.flu-dyn)