Mathematics

Authors and titles for October 2007

[101] arXiv:0710.0326 [pdf, other]

Title: On Orbits of the Ring $Z_n^m$ under the Action of the Group $SL(m,Z_n)$

Petr Novotný, Jiří Hrivnák

Comments: 9 pages

Journal-ref: Acta Polytechnica Vol. 45, No. 5/2005, 41-45

Subjects: Group Theory (math.GR); Mathematical Physics (math-ph)

[102] arXiv:0710.0328 [pdf, other]

Title: Hyperplane Arrangements with Large Average Diameter

Antoine Deza, Feng Xie

Subjects: Metric Geometry (math.MG)

[103] arXiv:0710.0330 [pdf, other]

Title: Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology

Johannes Nicaise

Comments: Slightly rewritten; appendix omitted; section added on the computation of motivic nearby cycles in terms of semi-stable models

Subjects: Algebraic Geometry (math.AG)

[104] arXiv:0710.0337 [pdf, other]

Title: Graphs on Surfaces and the Partition Function of String Theory

J.Manuel Garcia-Islas

Comments: 15 pages, 2 figures, improved and corrected version

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Combinatorics (math.CO)

[105] arXiv:0710.0342 [pdf, other]

Title: A Generalization of A Leibniz Geometrical Theorem

Mihaly Bencze, Florin Popovici, Florentin Smarandache

Comments: 5 pages

Journal-ref: Octogon Mathematical Magazine, Vol. 6, No. 1, 67-70, 1998

Subjects: General Mathematics (math.GM)

[106] arXiv:0710.0349 [pdf, other]

Title: An operational calculus for the Mould operad

Frédéric Chapoton (ICJ), Florent Hivert (LIFAR EA2655), Jean-Christophe Novelli (IGM), Jean-Yves Thibon (IGM)

Comments: 16 pages, one reference added and minor changes in v2

Subjects: Quantum Algebra (math.QA); Combinatorics (math.CO)

[107] arXiv:0710.0356 [pdf, other]

Title: Mapping the geometry of the E6 group

Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai, Antonio Scotti

Comments: 30 pages

Journal-ref: J.Math.Phys.49:012107,2008

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

[108] arXiv:0710.0357 [pdf, other]

Title: On Floer homology and the Berge conjecture on knots admitting lens space surgeries

Matthew Hedden

Comments: 25 pages, 4 figures - reference updated, erroneously included figures removed

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

[109] arXiv:0710.0359 [pdf, other]

Title: Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology

Kenneth L. Baker, J. Elisenda Grigsby, Matthew Hedden

Comments: 27 pages, 8 figures; Expositional improvements, corrected normalization of A grading in proof of Lemma 4.10

Journal-ref: International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn024, 39 pages

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

[110] arXiv:0710.0363 [pdf, other]

Title: Central limits and homogenization in random media

Guillaume Bal

Comments: 37 pages, added references, corrected typos

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

[111] arXiv:0710.0377 [pdf, other]

Title: Idempotent and tropical mathematics and problems of mathematical physics (Volume I)

Grigory Litvinov, Victor Maslov, Sergei Sergeev (Editors)

Comments: This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of Moscow, Russia, on August 25-30, 2007

Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP); Operator Algebras (math.OA); Optimization and Control (math.OC); Representation Theory (math.RT)

[112] arXiv:0710.0379 [pdf, other]

Title: Consistent estimates of deformed isotropic Gaussian random fields on the plane

Ethan Anderes, Sourav Chatterjee

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

Journal-ref: Annals of Statistics 2009, Vol. 37, No. 5A, 2324-2350

Subjects: Statistics Theory (math.ST)

[113] arXiv:0710.0387 [pdf, other]

Title: Reduced zeta functions of Lie algebras

Anton Evseev

Comments: 14 pages; descriptions in Section 2 corrected; other minor changes made.

Journal-ref: Journal reine angew. Math. 633 (2009), 197-211

Subjects: Rings and Algebras (math.RA); Algebraic Geometry (math.AG)

[114] arXiv:0710.0389 [pdf, other]

Title: Long wave expansions for water waves over random topography

Anne de Bouard, Walter Craig, Oliver Díaz-Espinosa, Philippe Guyenne, Catherine Sulem

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

[115] arXiv:0710.0390 [pdf, other]

Title: Moving and ample cones of holomorphic symplectic fourfolds

Brendan Hassett, Yuri Tschinkel

Subjects: Algebraic Geometry (math.AG)

[116] arXiv:0710.0394 [pdf, other]

Title: Higman's PORC conjecture for a family of groups

Anton Evseev

Comments: 17 pages

Subjects: Group Theory (math.GR)

[117] arXiv:0710.0399 [pdf, other]

Title: Inhomogeneous Diophantine approximation of some Hurwitzian numbers

Richard T. Bumby, Mary E. Flahive

Comments: Diophantine Analysis and Related Fields 2007, Keio University, Japan

Subjects: Number Theory (math.NT)

[118] arXiv:0710.0403 [pdf, other]

Title: Area-expanding embeddings of rectangles

Larry Guth

Comments: 21 pages, 6 figures

Subjects: Differential Geometry (math.DG)

[119] arXiv:0710.0408 [pdf, other]

Title: Optimal Transportation under Nonholonomic Constraints

Andrei Agrachev, Paul Lee

Comments: 35 pages, 5 figures

Subjects: Optimization and Control (math.OC); Differential Geometry (math.DG)

[120] arXiv:0710.0409 [pdf, other]

Title: On potentially $K_{r+1}-U$-graphical Sequences

Chunhui Lai, Guiying Yan

Comments: 10 pages

Journal-ref: Utilitas Mathematica, 80 (2009),233-244

Subjects: Combinatorics (math.CO)

[121] arXiv:0710.0429 [pdf, other]

Title: Operated semigroups, Motzkin paths and rooted trees

Li Guo

Comments: 28 pages

Journal-ref: J. Algebraic Combinatorics 29 (2009) 35-62

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

[122] arXiv:0710.0430 [pdf, other]

Title: Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property

Lingjun Zhou

Comments: 11 pages

Subjects: Mathematical Physics (math-ph)

[123] arXiv:0710.0431 [pdf, other]

Title: New Counting Codes for Distributed Video Coding

Axel Lakus-Becker, Ka-Ming Leung

Comments: 10 pages, 4 tables

Subjects: Information Theory (cs.IT)

[124] arXiv:0710.0432 [pdf, other]

Title: Differential Birkhoff decomposition and the renormalization of multiple zeta values

Li Guo, Bin Zhang

Comments: 20 pages

Journal-ref: J. Number Theory vol 128 (2008), 2318-2339

Subjects: Number Theory (math.NT); Combinatorics (math.CO); Rings and Algebras (math.RA)

[125] arXiv:0710.0433 [pdf, other]

Title: Rota-Baxter operators on generalized power series rings

Li Guo, Zhongkui Liu

Comments: 7 pages

Journal-ref: J. Algebra and Its Applications, 8 (2009) 557-564

Subjects: Rings and Algebras (math.RA); Combinatorics (math.CO)

[126] arXiv:0710.0436 [pdf, other]

Title: Application of Quantum Theory to Super-parametric Density Estimation

Yeong-Shyeong Tsai

Comments: There are 30 pages and 3 fighures in this paper. The lemmas, the theorems and their proofs are organized in computer progromming language oriented though this is a theoretical paper. In the paper, we create a new and complete both in theory and application for density estimation

Subjects: Statistics Theory (math.ST)

[127] arXiv:0710.0437 [pdf, other]

Title: Connectivity of the Product Replacement Graph of Simple Groups of Bounded Lie Rank

Nir Avni, Shelly Garion

Comments: v2 Minor changes, some explanations added

Journal-ref: J. Algebra 320 (2008), 945-960

Subjects: Group Theory (math.GR)

[128] arXiv:0710.0442 [pdf, other]

Title: Overlapping self-affine sets of Kakeya type

Antti Kaenmaki, Pablo Shmerkin

Comments: 27 pages, 1 figure. Submitted October 2007

Journal-ref: Ergodic Theory Dynam. Systems 29 (2009), no. 3, 941-965

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

[129] arXiv:0710.0447 [pdf, other]

Title: Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers

Florent Hivert, Jean-Christophe Novelli, Lenny Tevlin, Jean-Yves Thibon

Comments: 13 pages

Journal-ref: Selecta Math. (N.S.) 15 (2009), no. 1, 105--119

Subjects: Combinatorics (math.CO)

[130] arXiv:0710.0448 [pdf, other]

Title: Differential Complexes and Stratified Pro-Modules

Luisa Fiorot

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[131] arXiv:0710.0460 [pdf, other]

Title: Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree

David Croydon

Journal-ref: Ann. Inst. H. Poincare Probab. Statist. 44 (2008), no. 6, 987-1019

Subjects: Probability (math.PR)

[132] arXiv:0710.0464 [pdf, other]

Title: Human proofs of identities by Osburn and Schneider

Helmut Prodinger

Subjects: Combinatorics (math.CO)

[133] arXiv:0710.0470 [pdf, other]

Title: A minimal set of generators for the ring of multisymmetric functions

David Rydh

Comments: 25 pages, to be published in Ann. Inst. Fourier

Journal-ref: Ann. Inst. Fourier 57(6), 2007, p. 1741-1769

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

[134] arXiv:0710.0474 [pdf, other]

Title: Fractional dynamical systems defined on fractional jet bundle and applications in economics

Mihai Boleantu

Comments: presented at Differential Geometry-Dynamical Systems Conference, DGDS, 5-7 October, 2007, Bucharest, Romania

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

[135] arXiv:0710.0483 [pdf, other]

Title: Reduction for constrained variational problems on 3D null curves

Emilio Musso, Lorenzo Nicolodi

Comments: 16 pages

Journal-ref: SIAM J. Control Optim.47:1399-1414, 2008

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

[136] arXiv:0710.0491 [pdf, other]

Title: Analysis of Linear Difference Schemes in the Sparse Grid Combination Technique

Christoph Reisinger

Subjects: Numerical Analysis (math.NA)

[137] arXiv:0710.0492 [pdf, other]

Title: On the second Paneitz-Branson invariant

Mohammed Benalili, Hichem Boughazi

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

[138] arXiv:0710.0493 [pdf, other]

Title: Planar trees, free nonassociative algebras, invariants, and elliptic integrals

Vesselin Drensky, Ralf Holtkamp

Comments: Revised version, after suggestions of the anonymous referee, 39 pages

Journal-ref: Algebra Discrete Math. 2008, no. 2, 1-41

Subjects: Rings and Algebras (math.RA); Combinatorics (math.CO)

[139] arXiv:0710.0502 [pdf, other]

Title: Dynamical resonances and SSF singularities for a magnetic Schroedinger operator

Maria Angélica Astaburuaga (PUC), Philippe Briet (CPT), Vincent Bruneau (IMB), Claudio Fernandez (PUC), Georgi Raikov (PUC)

Comments: 29 pages, published version

Journal-ref: Serdica Math. J. 34 (2008) 179-218

Subjects: Spectral Theory (math.SP)

[140] arXiv:0710.0507 [pdf, other]

Title: Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane

David Brander

Comments: 8 Pages. Comments and references added

Journal-ref: Electron. Res. Announc. Math. Sci. 15 (2008), 8 - 16

Subjects: Differential Geometry (math.DG)

[141] arXiv:0710.0511 [pdf, other]

Title: Constraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle

Mihai Damian

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

[142] arXiv:0710.0516 [pdf, other]

Title: Essential curves in handlebodies and topological contractions

Viatcheslav Grines, François Laudenbach (LMJL)

Journal-ref: Geometry & Topology 12 (2008) 981-986

Subjects: Geometric Topology (math.GT)

[143] arXiv:0710.0519 [pdf, other]

Title: Differential Invariants of Conformal and Projective Surfaces

Evelyne Hubert, Peter J. Olver

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), 097, 15 pages

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

[144] arXiv:0710.0533 [pdf, other]

Title: Preliminary results on the homogenization of thin piezoelectric perforated shells

Houari Mechkour

Comments: 21 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[145] arXiv:0710.0537 [pdf, other]

Title: Dispersion Law of the Form $\epsilon(p)=\hbar^2p^2/2m +\widetilde V(p)-\widetilde V(0)$ for Elementary Excitations of Nonideal Fermi Gas in the Pair Interaction Approximation $(i\leftrightarrow j)$, $V(|x_i-x_j|)$

V. P. Maslov

Comments: Latex, 21 p

Subjects: Mathematical Physics (math-ph)

[146] arXiv:0710.0555 [pdf, other]

Title: Investigation of one boundary-value problem for elliptic type equation

O. H. Asadova

Comments: 4 pages

Subjects: Classical Analysis and ODEs (math.CA)

[147] arXiv:0710.0557 [pdf, other]

Title: Trace ideals for pseudo-differential operators and their commutators with symbols in $\alpha$-modulation spaces

Masaharu Kobayashi, Mitsuru Sugimoto, Naohito Tomita

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

[148] arXiv:0710.0564 [pdf, other]

Title: TP Decoding

Yi Lu, Cyril Measson, Andrea Montanari

Comments: 8 pages, 9 figures

Journal-ref: See also: 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, USA, 2007

Subjects: Information Theory (cs.IT)

[149] arXiv:0710.0572 [pdf, other]

Title: The diagonal of the Stasheff polytope

Jean-Louis Loday

Comments: Complete modification of the last part, that is the map p':AA-infinity -> A-infinity

Subjects: Algebraic Topology (math.AT); Quantum Algebra (math.QA)

[150] arXiv:0710.0574 [pdf, other]

Title: Combinatorial Aspects of Elliptic Curves II: Relationship between Elliptic Curves and Chip-Firing Games on Graphs

Gregg Musiker

Comments: 24 pages, 2 figures, part of author's Ph.D. Thesis, presented at FPSAC 2007

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