Mathematics

Authors and titles for September 2007

[351] arXiv:0709.1507 [pdf, other]

Title: Surgery description of colored knots

R.A. Litherland (Louisiana State University), Steven D. Wallace (Louisiana State University)

Comments: 41 pages, 23 figures (Version 3) Minor revisions and typos fixed. Proofs of Propositions 4.1 and 4.8 revised

Subjects: Geometric Topology (math.GT)

[352] arXiv:0709.1509 [pdf, other]

Title: On well-posedness of the linear Cauchy problem with the distributional right-hand side and discontinuous coefficients

Damir Kinzebulatov

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA)

[353] arXiv:0709.1514 [pdf, other]

Title: On differentiability of the Parisi formula

Dmitry Panchenko

Journal-ref: Vol. 13 (2008) Elect. Comm. in Probab. 241-247

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

[354] arXiv:0709.1515 [pdf, other]

Title: Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint

Chien-Hao Liu, Shing-Tung Yau

Comments: 57 pages

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

[355] arXiv:0709.1516 [pdf, other]

Title: On Universal Prediction and Bayesian Confirmation

Marcus Hutter

Comments: 24 pages

Journal-ref: Theoretical Computer Science, 384 (2007) pages 33-48

Subjects: Statistics Theory (math.ST); Information Theory (cs.IT); Machine Learning (cs.LG); Machine Learning (stat.ML)

[356] arXiv:0709.1521 [pdf, other]

Title: Ricci Flow with hyperbolic warped product metrics

Li Ma, Xingwang Xu

Comments: 9 pages

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

[357] arXiv:0709.1525 [pdf, other]

Title: Tensor representations of classical locally finite Lie algebras

I. Penkov, K. Styrkas

Comments: 21 pages

Subjects: Representation Theory (math.RT)

[358] arXiv:0709.1529 [pdf, other]

Title: The Existence of Pure Free Resolutions

David Eisenbud, Gunnar Floystad, Jerzy Weyman

Comments: Dedicated to Jürgen Herzog on the occasion of his sixty-fifth birthday, minor changes; NOTE: Title changed to: The Existence of Equivariant Pure Free Resolutions

Journal-ref: Annales de l'institut Fourier, 61 (2011), no. 3, p. 905-926

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

[359] arXiv:0709.1537 [pdf, other]

Title: Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay Modules

Nguyen Tu Cuong, Hoang Le Truong

Comments: 12 pages

Subjects: Commutative Algebra (math.AC)

[360] arXiv:0709.1539 [pdf, other]

Title: The Set of Prime Numbers

Gerardo Iovane

Comments: 11 pages

Subjects: General Mathematics (math.GM)

[361] arXiv:0709.1546 [pdf, other]

Title: Combinatorics of the Dimer Model on a Strip

D.Orlando, S.Reffert

Comments: 19 pages, 12 figures

Subjects: Combinatorics (math.CO); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)

[362] arXiv:0709.1556 [pdf, other]

Title: Approximation of complex algebraic numbers by algebraic numbers of bounded degree

Yann Bugeaud, Jan-Hendrik Evertse

Comments: 34 pages

Journal-ref: Ann. Scuola Norm. Sup. Pisa, Cl. Scienze (5) 8 (2009), 1-36

Subjects: Number Theory (math.NT)

[363] arXiv:0709.1557 [pdf, other]

Title: The Szemeredi property in ergodic W*-dynamical systems

Conrad Beyers, Rocco Duvenhage, Anton Stroh

Comments: v1: 39 pages. Incorporates large portions of the unpublished preprints math/0512059 and math/0611309. v2: Several corrections made, switched to amsart, 30 pages. v3: Small corrections made

Journal-ref: J. Operator Theory 64 (2010), 35-67

Subjects: Operator Algebras (math.OA)

[364] arXiv:0709.1558 [pdf, other]

Title: Global phase-locking in finite populations of phase-coupled oscillators

Mark Verwoerd, Oliver Mason

Comments: 31 pages; to appear in SIAM journal of dynamical systems (SIADS)

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

[365] arXiv:0709.1559 [pdf, other]

Title: Koppelman formulas on Grassmannians

Elin Götmark, Håkan Samuelsson, Henrik Seppänen

Comments: sections 5.3 and 6.2 are new

Subjects: Complex Variables (math.CV); Representation Theory (math.RT)

[366] arXiv:0709.1560 [pdf, other]

Title: On two notions of complexity of algebraic numbers

Yann Bugeaud, Jan-Hendrik Evertse

Comments: 31 pages

Journal-ref: Acta Arithmetica 133 (2008), 221-250 (volume dedicated to Wolfgang Schmidt on the occasion of his 75th birthday)

Subjects: Number Theory (math.NT)

[367] arXiv:0709.1565 [pdf, other]

Title: Overpartition pairs and two classes of basic hypergeometric series

Jeremy Lovejoy, Olivier Mallet

Comments: 31 pages, To appear in Adv. Math

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

[368] arXiv:0709.1569 [pdf, other]

Title: Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime

Miloslav Znojil

Comments: 28 pp., 4 tables, 1 figure

Journal-ref: J. Phys. A: Math. Theor. 40 (2007) 13131-13148

Subjects: Mathematical Physics (math-ph)

[369] arXiv:0709.1570 [pdf, other]

Title: Reciprocal cyclotomic polynomials

Pieter Moree

Comments: 14 pages, 1 Table (computed by Yves Gallot)

Journal-ref: J. Number Theory 129 (2009), 667-680

Subjects: Number Theory (math.NT)

[370] arXiv:0709.1576 [pdf, other]

Title: Groups which are not properly 3-realizable

Louis Funar, Francisco F. Lasheras, Dusan Repovs

Comments: revised version, 16p

Journal-ref: Rev. Mat. Iberoam. 28(2012), no.2, 401-414

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

[371] arXiv:0709.1577 [pdf, other]

Title: Analytic Extension of a maximal surface in $\Bbb L^3$ along its boudary

Doan The Hieu, Nguyen Van Hanh

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[372] arXiv:0709.1578 [pdf, other]

Title: Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection

Tristan Torrelli (JAD)

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[373] arXiv:0709.1595 [pdf, other]

Title: When will a One Parameter Family of Unimodal Maps Produce Finite Limit Cycles Monotonically with the Parameter?

John Taylor

Comments: five (5) pages. one typo corrected

Subjects: Dynamical Systems (math.DS)

[374] arXiv:0709.1596 [pdf, other]

Title: The Effects of Partial Crop Harvest on Biological Pest Control

Sapna Nundloll (INRIA Sophia Antipolis), Ludovic Mailleret (URIH), Frédéric Grognard (INRIA Sophia Antipolis)

Subjects: Dynamical Systems (math.DS)

[375] arXiv:0709.1597 [pdf, other]

Title: Analytic continuation of residue currents

Håkan Samuelsson

Subjects: Complex Variables (math.CV)

[376] arXiv:0709.1598 [pdf, other]

Title: Linear convergence of iterative soft-thresholding

Kristian Bredies, Dirk A. Lorenz

Journal-ref: Journal of Fourier Analysis and Applications, 14(5-6):813-837, 2008

Subjects: Functional Analysis (math.FA); Numerical Analysis (math.NA)

[377] arXiv:0709.1606 [pdf, other]

Title: Local and global methods in arithmetic (in Russian)

Alexei Panchishkin

Comments: in Russian, 27 pages, 5 figures

Subjects: Number Theory (math.NT)

[378] arXiv:0709.1607 [pdf, other]

Title: The hyperbolic geometric flow on Riemann surfaces

De-Xing Kong, Kefeng Liu, De-Liang Xu

Comments: New results added

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

[379] arXiv:0709.1610 [pdf, other]

Title: On q-summation and confluence

Lucia Di Vizio (IMJ), Changgui Zhang (LPP)

Comments: 36 pages. Following the referee's comments, we have clarified the exposition of some proofs and corrected some misprints

Subjects: Classical Analysis and ODEs (math.CA); Quantum Algebra (math.QA)

[380] arXiv:0709.1611 [pdf, other]

Title: Modular forms and $p$-adic numbers (in Russian)

Alexei Panchishkin

Comments: in Russian, 2 figures

Subjects: Number Theory (math.NT)

[381] arXiv:0709.1615 [pdf, other]

Title: On permutation polytopes

Barbara Baumeister, Christian Haase, Benjamin Nill, Andreas Paffenholz

Comments: AMS-LaTeX, 22 pages

Journal-ref: Adv. Math. 222 (2009), 431-452

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

[382] arXiv:0709.1621 [pdf, other]

Title: On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity

Johannes Brunnemann, Christian Fleischhack

Comments: 12 pages, LaTeX. v1 to v2: Results unchanged. Presentation improved: Sect. 4 restructured (proof of Cor. 4.5 as well); some comments added; reference updated

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc)

[383] arXiv:0709.1627 [pdf, other]

Title: Formulas of F-thresholds and F-jumping coefficients on toric rings

Daisuke Hirose

Comments: 20 pages,corrected some typos,changed statements in section 5

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

[384] arXiv:0709.1629 [pdf, other]

Title: Disordered pinning models and copolymers: beyond annealed bounds

Fabio Lucio Toninelli

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. 4, 1569-1587

Subjects: Probability (math.PR); Soft Condensed Matter (cond-mat.soft)

[385] arXiv:0709.1635 [pdf, other]

Title: Gaudin functions, and Euler-Poincar\'e characteristics

Alain Lascoux (IGM-LabInfo)

Subjects: Combinatorics (math.CO)

[386] arXiv:0709.1639 [pdf, other]

Title: Lefschetz fibrations and symplectic homology

Mark McLean

Comments: 62 pages, 5 figures, LaTeX; simplified section 5.1, corrected several minor mistakes and typos

Subjects: Symplectic Geometry (math.SG)

[387] arXiv:0709.1642 [pdf, other]

Title: A devil's staircase from rotations and irrationality measures for Liouville numbers

Doyong Kwon

Comments: This version was updated. The older one is available at this http URL

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

[388] arXiv:0709.1644 [pdf, other]

Title: On the Area Functional of the Second Fundamental Form of Ovaloids

Steven Verpoort

Comments: 13 pages. (v2: As compared to a previous version of this article, which was entitled "The Mean Curvature of the Second Fundamental Form of an Ovaloid", there have been made substantial changes especially to the latter part of the article.) (v3: Reference to the work of M. Wiehe has been added.) Published version available here: this http URL

Journal-ref: Mathematical Proceedings of the Royal Irish Academy 109A (2009) 2:187-200

Subjects: Differential Geometry (math.DG)

[389] arXiv:0709.1645 [pdf, other]

Title: On Zeta Functions and Families of Siegel Modular Forms

Alexei Panchishkin

Comments: in English and in Russian, 2 figures

Subjects: Number Theory (math.NT)

[390] arXiv:0709.1648 [pdf, other]

Title: Asymptotics: Particles, Processes and Inverse Problems. Festschrift for Piet Groeneboom

Eric A. Cator, Geurt Jongbloed, Cor Kraaikamp, Hendrik P. Lopuhaä, Jon A. Wellner

Comments: Published at this http URL in the IMS Lecture Notes Monograph Series (this http URL) by the Institute of Mathematical Statistics (this http URL)

Journal-ref: IMS Lecture Notes Monograph Series 2007, Vol. 55, i-xii

Subjects: Statistics Theory (math.ST)

[391] arXiv:0709.1653 [pdf, other]

Title: Counterexamples to continuity of optimal transportation on positively curved Riemannian manifolds

Young-Heon Kim

Comments: 10 pages

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

[392] arXiv:0709.1654 [pdf, other]

Title: Localizing the Elliott Conjecture at Strongly Self-absorbing C*-algebras --An Appendix

Huaxin Lin

Subjects: Operator Algebras (math.OA)

[393] arXiv:0709.1659 [pdf, other]

Title: On the localized phase of a copolymer in an emulsion: supercritical percolation regime

Frank den Hollander, Nicolas Pétrélis

Comments: 43 pages and 10 figures

Subjects: Probability (math.PR)

[394] arXiv:0709.1660 [pdf, other]

Title: Partial Gr\"obner bases for multiobjective integer linear optimization

Victor Blanco, Justo Puerto

Comments: 24 pages

Subjects: Optimization and Control (math.OC); Algebraic Geometry (math.AG)

[395] arXiv:0709.1663 [pdf, other]

Title: Uniform Bahadur Representation for Local Polynomial Estimates of M-Regression and Its Application to The Additive Model

Efang Kong, Oliver Linton, Yingcun Xia

Comments: 40 pages

Subjects: Statistics Theory (math.ST); Methodology (stat.ME)

[396] arXiv:0709.1665 [pdf, other]

Title: On some new congruences for binomial coefficients

Zhi-Wei Sun, Roberto Tauraso

Journal-ref: Int. J. Number Theory 7(2011), no.3, 645-662

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

[397] arXiv:0709.1668 [pdf, other]

Title: Anomalies in gauge theory and gerbes over quotient stacks

Vesa Tahtinen

Comments: v2. 27 pages, content reorganized

Journal-ref: J.Geom.Phys.58:1080-1100,2008

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

[398] arXiv:0709.1670 [pdf, other]

Title: On approximate solutions of semilinear evolution equations II. Generalizations, and applications to Navier-Stokes equations

Carlo Morosi (Politecnico di Milano), Livio Pizzocchero (Universita' di Milano)

Comments: LaTeX, 84 pages. The final version published in Reviews in Mathematical Physics

Journal-ref: Rev. Math. Phys. 20(6) (2008), 625-706

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

[399] arXiv:0709.1674 [pdf, other]

Title: Matrix-Lifting Semi-Definite Programming for Decoding in Multiple Antenna Systems

Amin Mobasher, Amir K. Khandani

Comments: Submitted to IEEE Transaction on Information Theory, Aug. 2007

Subjects: Information Theory (cs.IT)

[400] arXiv:0709.1676 [pdf, other]

Title: What is a metric space?

Stephen Semmes

Comments: 14 pages, latex-2e, with 12 pictures

Subjects: Metric Geometry (math.MG)