Mathematics

Authors and titles for January 2007

[701] arXiv:math/0701551 [pdf, other]

Title: Design of Optimal Regulators

Alexander Bolonkin, Robert Sierakowski

Comments: 18 pages, 5 figures

Subjects: General Mathematics (math.GM); Optimization and Control (math.OC)

[702] arXiv:math/0701552 [pdf, other]

Title: Towards a homotopy theory of process algebra

Philippe Gaucher

Comments: 33 pages ; LaTeX2e ; 1 eps figure ; package semantics included ; v2 HDA paradigm clearly stated and simplification in a homotopical argument ; v3 "bug" fixed in notion of non-twisted shell + several redactional improvements ; v4 minor correction : the set of labels must not be ordered ; published at this http URL

Journal-ref: Homology Homotopy and Applications, vol. 10 (1):p.353-388, 2008

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

[703] arXiv:math/0701553 [pdf, other]

Title: Covering arrays on graphs: qualitative independence graphs and extremal set partition theory

Karen Meagher

Comments: Ph.D. thesis, 177 pages

Subjects: Combinatorics (math.CO)

[704] arXiv:math/0701554 [pdf, other]

Title: Pythagorean Triples and a New Pythagorean Theorem

H. Lee Price, Frank R. Bernhart

Comments: 21 pages, 5 figures, 3 tables Repaired Bibliography

Subjects: History and Overview (math.HO); Number Theory (math.NT)

[705] arXiv:math/0701555 [pdf, other]

Title: Voter models with heterozygosity selection

Anja Sturm, Jan Swart

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 2008, Vol. 18, No. 1, 59-99

Subjects: Probability (math.PR)

[706] arXiv:math/0701556 [pdf, other]

Title: Behavior of geodesic-length functions on Teichmueller space

Scott A. Wolpert

Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)

[707] arXiv:math/0701557 [pdf, other]

Title: Cluster structures for 2-Calabi-Yau categories and unipotent groups

Aslak Bakke Buan, Osamu Iyama, Idun Reiten, Jeanne Scott

Comments: 49 pages. For the third version the presentation is revised, especially Chapter III replaces the old Chapter III and IV

Subjects: Representation Theory (math.RT)

[708] arXiv:math/0701558 [pdf, other]

Title: Free Actions of Extraspecial $p$-Groups on $S^n \times S^n$

Ian Hambleton, Ozgun Unlu

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

[709] arXiv:math/0701559 [pdf, other]

Title: Idempotent Semigroups and Tropical Algebraic Sets

Z. Izhakian, E. Shustin

Comments: 23 pages, 1 figure

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

[710] arXiv:math/0701560 [pdf, other]

Title: Morse Theory and Hyperkahler Kirwan Surjectivity for Higgs Bundles

Georgios Daskalopoulos, Jonathan Weitsman, Richard Wentworth, Graeme Wilkin

Comments: 33 pages. Corrected Betti number formulae, added a description of the Γ_2-invariant cohomology in the fixed determinant case (correcting an earlier error), explained the Morse-Bott isomorphism (Proposition 3.1) in detail

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

[711] arXiv:math/0701561 [pdf, other]

Title: The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix

Polona Oblak

Comments: 17 pages

Subjects: Commutative Algebra (math.AC)

[712] arXiv:math/0701562 [pdf, other]

Title: The Graphs for which the Maximum Multiplicity of an Eigenvalue is Two

Charles R. Johnson, Raphael Loewy, Paul Anthony Smith

Subjects: Combinatorics (math.CO)

[713] arXiv:math/0701563 [pdf, other]

Title: Efficient Monte Carlo sampling by parallel marginalization

Jonathan Weare

Comments: 7 figures, 2 figures, PNAS .cls and .sty files, submitted to PNAS

Journal-ref: PNAS 2007 104: 12657-12662

Subjects: Numerical Analysis (math.NA); Statistics Theory (math.ST)

[714] arXiv:math/0701564 [pdf, other]

Title: Discreteness of the spectrum of the Laplace-Beltrami operator

M. Harmer

Journal-ref: Journal of Geometric Analysis, 19 (2009), 358--372

Subjects: Functional Analysis (math.FA); Differential Geometry (math.DG)

[715] arXiv:math/0701565 [pdf, other]

Title: Stringy power operations in Tate K-theory

Nora Ganter

Comments: This is the most recent (2008) version of this paper. Some part of the material (Devoto's Tate K-theory and the definition of power operations) has since been re-written for arXiv:1301.2754

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph)

[716] arXiv:math/0701566 [pdf, other]

Title: Twists of Drinfeld-Stuhler modular varieties

Michael Spiess

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

[717] arXiv:math/0701567 [pdf, other]

Title: Polyn\^omes de Hua, noyau de Bergman des domaines de Cartan-Hartogs et probl\`eme de Lu Qikeng

F.Zohra Demmad-Abdessameud

Comments: 38 pages, French, abstract in English language, Rend. Sem. Mat. Univ. Pol. Torino, vol. 67, 1 (2009), to appear

Subjects: Complex Variables (math.CV)

[718] arXiv:math/0701568 [pdf, other]

Title: Introduction to the Gopakumar-Vafa Large N Duality

Dave Auckly, Sergiy Koshkin

Comments: This is the version published by Geometry & Topology Monographs on 21 September 2007

Journal-ref: Geom. Topol. Monogr. 8 (2006) 195-456

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

[719] arXiv:math/0701569 [pdf, other]

Title: Exit asymptotics for small diffusion about an unstable equilibrium

Yuri Bakhtin

Comments: 13 pages

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[720] arXiv:math/0701570 [pdf, other]

Title: Generating Random Vectors in (Z/pZ)^d Via an Affine Random Process

Martin Hildebrand, Joseph McCollum

Comments: This version incorporates some changes suggested by a referee and is the final pre-publication version. The published version is to appear in the Journal of Theoretical Probability

Subjects: Probability (math.PR)

[721] arXiv:math/0701571 [pdf, other]

Title: Semidefinite descriptions of separable matrix cones

Roland Hildebrand

Comments: 23 pages

Subjects: Rings and Algebras (math.RA); Quantum Physics (quant-ph)

[722] arXiv:math/0701572 [pdf, other]

Title: Classical Two-parabolic T-Schottky groups

Jane Gilman, Peter Waterman

Comments: one pdf file

Journal-ref: J. D'Analyse Mathematique, Volume XCVIII, pp 1-42, 2006

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[723] arXiv:math/0701573 [pdf, other]

Title: Informative Words and Discreteness

Jane Gilman

Comments: one pdf file

Journal-ref: AMS Cont. Math., Volume 421, 2007

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[724] arXiv:math/0701574 [pdf, other]

Title: Stability of Stein structures on the Euclidean space

Herve Gaussier, Alexandre Sukhov

Comments: 15 pages

Subjects: Complex Variables (math.CV)

[725] arXiv:math/0701575 [pdf, other]

Title: Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles

Liming Wang, Eduardo Sontag

Comments: 21 pages, 3 figures, corrected typos, references removed

Subjects: Dynamical Systems (math.DS); Classical Analysis and ODEs (math.CA)

[726] arXiv:math/0701576 [pdf, other]

Title: Some aspects of analysis on almost complex manifolds with boundary

Bernard Coupet, Herve Gaussier, Alexandre Sukhov

Comments: 76 pages

Subjects: Complex Variables (math.CV)

[727] arXiv:math/0701577 [pdf, other]

Title: On Primes in Quadratic Progressions

Stephan Baier, Liangyi Zhao

Comments: Fourteen(14) pages, minor changes were made and a longer instruction was given

Journal-ref: Int. J. Number Theory, Vol. 5, 2009, No. 6, pp. 1017-1035.

Subjects: Number Theory (math.NT)

[728] arXiv:math/0701578 [pdf, other]

Title: Combinatorial Dehn-Lickorish Twists and Framed Link Presentations of 3-Manifolds Revisited

Sostenes Lins

Subjects: Geometric Topology (math.GT)

[729] arXiv:math/0701579 [pdf, other]

Title: Growth of the number of geodesics between points and insecurity for riemannian manifolds

Keith Burns, Eugene Gutkin

Comments: 14 pages, 0 figures

Journal-ref: Discrete and Continuous Dynamical Systems A 21 (2008), 403 -- 413

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

[730] arXiv:math/0701580 [pdf, other]

Title: On controlled linear diffusions with delay in a model of optimal advertising under uncertainty with memory effects

Fausto Gozzi, Carlo Marinelli, Sergei Savin

Comments: numerical example added; minor revisions

Subjects: Optimization and Control (math.OC)

[731] arXiv:math/0701581 [pdf, other]

Title: Frobenius manifold structures on the spaces of abelian integrals

Roman M. Fedorov

Comments: Expanded version. The case of an abelian integral with multiple poles is treated. Other minor improvements. Final version

Journal-ref: Journal of Geometry and Physics, Vol. 61 (2011), no. 2, pp. 485-497

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

[732] arXiv:math/0701582 [pdf, other]

Title: On the generalization of the Costas property to higher dimensions

Konstantinos Drakakis

Subjects: Combinatorics (math.CO)

[733] arXiv:math/0701583 [pdf, other]

Title: Bayesian shrinkage prediction for the regression problem

Kei Kobayashi, Fumiyasu Komaki

Subjects: Statistics Theory (math.ST)

[734] arXiv:math/0701584 [pdf, other]

Title: Meinardus' theorem on weighted partitions: extensions and a probabilistic proof

Boris L. Granovsky, Dudley Stark, Michael Erlihson

Comments: The version contains a few minor this http URL will be published in Advances in Applied Mathematics

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

[735] arXiv:math/0701585 [pdf, other]

Title: A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields

Ben Green, Terence Tao

Comments: 12 pages, to appear in J. Aust. Math. Society. Some very minor revisions from previous version

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

[736] arXiv:math/0701586 [pdf, other]

Title: Derived equivalence of symmetric special biserial algebras

Mikhail Antipov

Comments: 19 pages, 13 figures

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

[737] arXiv:math/0701587 [pdf, other]

Title: Bounds On Isoperimetric Values of Trees

B.V. Subramanya Bharadwaj, L. Sunil Chandran

Comments: 18 pages

Subjects: Combinatorics (math.CO)

[738] arXiv:math/0701588 [pdf, other]

Title: On closed rational functions in several variables

A.P. Petravchuk, O.G. Iena

Comments: Added references, corrected some typos

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

[739] arXiv:math/0701589 [pdf, other]

Title: A forgotten little chapter on isoperimetric inequalities: On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter

Jose M. Pacheco

Comments: 6 pages, 5+2 figures

Subjects: General Mathematics (math.GM)

[740] arXiv:math/0701590 [pdf, other]

Title: Hyperplane sections of Legendrian subvarieties

Jaroslaw Buczynski

Comments: 9 pages

Journal-ref: Math. Res. Lett. 15 (2008), no. 4, 623--629.

Subjects: Algebraic Geometry (math.AG)

[741] arXiv:math/0701591 [pdf, other]

Title: Parameter test ideals of Cohen Macaulay rings

Mordechai Katzman

Comments: 16 pages To appear in Compositio Mathematica

Subjects: Commutative Algebra (math.AC)

[742] arXiv:math/0701592 [pdf, other]

Title: Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation

Peter Constantin, Jiahong Wu

Subjects: Analysis of PDEs (math.AP)

[743] arXiv:math/0701593 [pdf, other]

Title: Stability Analysis of the Helmholtz Oscillator with Time Varying Mass

Richard A. Morrison

Comments: 10 pages, 7 figures

Subjects: Dynamical Systems (math.DS)

[744] arXiv:math/0701594 [pdf, other]

Title: H\"older continuity of solutions of supercritical dissipative hydrodynamic transport equations

Peter Constantin, Jiahong Wu

Subjects: Analysis of PDEs (math.AP)

[745] arXiv:math/0701595 [pdf, other]

Title: Local lens rigidity with incomplete data for a class of non-simple Riemannian manifolds

Plamen Stefanov, Gunther Uhlmann

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

[746] arXiv:math/0701596 [pdf, other]

Title: Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian

Ciro Ciliberto, Francesco Russo, Aron Simis

Comments: 56 pages. v2: Some material added in section 1; minor changes. v3: typos corrected in Propositions 1.1 and 1.7

Journal-ref: Advances in Mathematics 218 (2008), 1759--1805

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

[747] arXiv:math/0701597 [pdf, other]

Title: Non vanishing loci of Hodge numbers of local systems

A.Libgober

Comments: Final version. To appear in Manuscripta Mathematica

Subjects: Algebraic Geometry (math.AG)

[748] arXiv:math/0701598 [pdf, other]

Title: Computer analysis of the two versions of Byzantine chess

Anatole Khalfine, Ed Troyan

Subjects: History and Overview (math.HO); General Mathematics (math.GM)

[749] arXiv:math/0701599 [pdf, other]

Title: Long-time dynamics for the 3-D viscous primitive equations of large-scale moist atmosphere

Boling Guo, Daiwen Huang

Comments: 49 pages

Subjects: Analysis of PDEs (math.AP)

[750] arXiv:math/0701600 [pdf, other]

Title: Random dense bipartite graphs and directed graphs with specified degrees

Catherine Greenhill, Brendan D. McKay

Comments: Corrected the name of a cited author. A concise version has been accepted by Random Structures and Algorithms

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