Mathematics

Authors and titles for February 2007

[501] arXiv:math/0702351 [pdf, other]

Title: Hereditary properties of partitions, ordered graphs and ordered hypergraphs

József Balogh, Béla Bollobás, Robert Morris

Comments: 25 pgs, no figures

Journal-ref: European Journal of Combinatorics (special edition, eds. M. Krivelevich and B. Sudakov), 8 (2006), 1263-1281

Subjects: Combinatorics (math.CO)

[502] arXiv:math/0702352 [pdf, other]

Title: Hereditary properties of ordered graphs

József Balogh, Béla Bollobás, Robert Morris

Comments: 39 pgs, 1 figure

Journal-ref: Topics in Discrete Mathematics (special edition for J. Nesetril, eds. M. Klazar, J. Kratochvil, M. Loebl, J. Matousek, R. Thomas and P. Valtr), Springer, 26 (2006), 179-213

Subjects: Combinatorics (math.CO)

[503] arXiv:math/0702353 [pdf, other]

Title: The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

Jaume Peraire, Per-Olof Persson

Comments: 25 pages, 2 figures, 7 tables

Journal-ref: SIAM J. Sci. Comput., Vol. 30, No. 4, pp. 1806-1824, 2008

Subjects: Numerical Analysis (math.NA)

[504] arXiv:math/0702354 [pdf, other]

Title: Highly connected monochromatic subgraphs of multicoloured graphs

Henry Liu, Robert Morris, Noah Prince

Comments: 25 pgs, 3 figures, to appear in Journal of Graph Theory

Subjects: Combinatorics (math.CO)

[505] arXiv:math/0702355 [pdf, other]

Title: C$^{*}$-bialgebra defined by the direct sum of Cuntz algebras

Katsunori Kawamura

Comments: 18 pages

Subjects: Operator Algebras (math.OA)

[506] arXiv:math/0702356 [pdf, other]

Title: Relative asymptotic behavior of pseudoholomorphic half-cylinders

Richard Siefring

Comments: Withdrawn by author due to copyright transfer. For final version, see author's webpage (this http URL) or publisher's webpage (this http URL)

Journal-ref: Commun. Pure Appl. Math., 61(12):1631-1684, 2008

Subjects: Symplectic Geometry (math.SG); Analysis of PDEs (math.AP)

[507] arXiv:math/0702357 [pdf, other]

Title: Bergman kernels for weighted polynomials and weighted equilibrium measures of C^n

Robert Berman

Comments: v1: 11 pages v2: 19 pages. Substantial revision: regularity assumption on the weight weakened to C^1,1, setting of polynomials with a given Newton polytope considered, examples and a figure added

Subjects: Complex Variables (math.CV); Probability (math.PR)

[508] arXiv:math/0702358 [pdf, other]

Title: Law of Large Numbers and Central Limit Theorem under Nonlinear Expectations

Shige Peng

Comments: 7 pages

Subjects: Probability (math.PR)

[509] arXiv:math/0702359 [pdf, other]

Title: Equivariant Khovanov homology associated with symmetric links

Nafaa Chbili

Comments: 17 pages, many figures

Subjects: Geometric Topology (math.GT)

[510] arXiv:math/0702360 [pdf, other]

Title: On the number of minima of a random polynomial

Jean-Pierre Dedieu, Gregorio Malajovich

Comments: 22 pages. We learned since the first version that the probability that a matrix in GOE(n) is positive definite is known. This follows from the theory of large deviations (reference in the paper). Therefore, we can now state a precise upper bound (Theorem 2) for the number of minima of a random polynomial, instead of a bound depending on that probability

Journal-ref: Journal of Complexity 24, pp 89--108 (2008)

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC); Probability (math.PR)

[511] arXiv:math/0702361 [pdf, other]

Title: Properties of two selections in metric spaces of Busemann nonpositive curvature

Pyotr Ivanshin

Comments: 10 pages

Subjects: Metric Geometry (math.MG)

[512] arXiv:math/0702362 [pdf, other]

Title: Strichartz and smoothing estimates for dispersive equations with magnetic potentials

Piero D'Ancona, Luca Fanelli

Comments: 23 pages

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

[513] arXiv:math/0702363 [pdf, other]

Title: On the intersection of free subgroups in free products of groups

Warren Dicks, S.V. Ivanov

Comments: 28 pages, no figures

Journal-ref: Math. Proc. Cambridge Philos. Soc. 144(2008), 511-534.

Subjects: Group Theory (math.GR)

[514] arXiv:math/0702364 [pdf, other]

Title: Smooth densities for stochastic differential equations with jumps

Thomas Cass

Subjects: Probability (math.PR)

[515] arXiv:math/0702365 [pdf, other]

Title: On the geometry of the space of oriented lines of the hyperbolic space

Marcos Salvai

Comments: Communicated at ICM 2006. Submitted to Glasgow Math. J. on November 3, 2006

Subjects: Differential Geometry (math.DG)

[516] arXiv:math/0702366 [pdf, other]

Title: The Seiberg-Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field

Clifford Henry Taubes

Comments: There are minor corrections in this new version

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

[517] arXiv:math/0702367 [pdf, other]

Title: A population model for $\Lambda$-coalescents with neutral mutations

Andreas Nordvall Lagerås

Comments: 15 pages, 4 figures. This version differs in pagination from the published version

Journal-ref: Electronic Communications in Probability 12(2007), 9-20

Subjects: Probability (math.PR); Populations and Evolution (q-bio.PE)

[518] arXiv:math/0702368 [pdf, other]

Title: Toric ideals of phylogenetic invariants for the general group-based model on claw trees $K_{1,n}$

Julia Chifman, Sonja Petrović

Comments: Revised introduction (more complete); revised algorithms; added references. To appear in Proceedings of Algebraic Biology 2007

Subjects: Commutative Algebra (math.AC); Populations and Evolution (q-bio.PE)

[519] arXiv:math/0702369 [pdf, other]

Title: Highly connected multicoloured subgraphs of multicoloured graphs

Henry Liu, Robert Morris, Noah Prince

Comments: 38 pgs, no figures, submitted Feb 2006

Subjects: Combinatorics (math.CO)

[520] arXiv:math/0702370 [pdf, other]

Title: Minimal percolating sets in bootstrap percolation

Robert Morris

Comments: 19 pgs, 4 figures, thorough rewrite, to appear in Electronic J. Combinatorics

Subjects: Combinatorics (math.CO)

[521] arXiv:math/0702371 [pdf, other]

Title: Hereditary properties of tournaments

József Balogh, Béla Bollobás, Robert Morris

Comments: 28 pgs, 2 figures, submitted November 2006

Subjects: Combinatorics (math.CO)

[522] arXiv:math/0702372 [pdf, other]

Title: A criterion for rings which are locally valuation

Kamran Divaani-Aazar, Mohammad Ali Esmkhani, Massoud Tousi

Comments: 11 pages

Subjects: Commutative Algebra (math.AC)

[523] arXiv:math/0702373 [pdf, other]

Title: Majority bootstrap percolation on the hypercube

József Balogh, Béla Bollobás, Robert Morris

Comments: 44 pgs, no figures, submitted Feb 2007

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

[524] arXiv:math/0702374 [pdf, other]

Title: Multi-geodesic tessellations, fractional Dehn twists and uniformization of algebraic curves

Samuel Lelièvre (LM-Orsay), Robert Silhol (I3M)

Comments: 35 pages, TeX, 18 figures

Subjects: Geometric Topology (math.GT)

[525] arXiv:math/0702375 [pdf, other]

Title: Functoriality in resolution of singularities

Edward Bierstone, Pierre D. Milman

Comments: 27 pages

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[526] arXiv:math/0702376 [pdf, other]

Title: On the equivalence of two quantifier elimination tests

Yimu Yin

Subjects: Logic (math.LO)

[527] arXiv:math/0702377 [pdf, other]

Title: Another look at the Burns-Krantz Theorem

David Shoikhet

Subjects: Complex Variables (math.CV)

[528] arXiv:math/0702378 [pdf, other]

Title: Integral Equations in the Theory of Levy Processes

Lev Sakhnovich

Journal-ref: Oper.Theory:Adv.Appl. 197 (2010) 337-373

Subjects: Probability (math.PR); Functional Analysis (math.FA)

[529] arXiv:math/0702379 [pdf, other]

Title: Quantum statistical mechanics and class field Theory

Jorge Plazas

Comments: Survey article. To appear in the proceedings of the summer school "Geometric and topological methods for quantum field theory", Villa de Leyva 2005. (AMS Contemporary Mathematics)

Subjects: Number Theory (math.NT); Operator Algebras (math.OA)

[530] arXiv:math/0702380 [pdf, other]

Title: Hodge genera of algebraic varieties, II

Sylvain E. Cappell, Anatoly Libgober, Laurentiu Maxim, Julius L. Shaneson

Comments: V2: No major changes in content, but some results are stated in greater generality (original proofs not altered); examples added; corrected a calculation in Example 2.9(2) following a comment of J. Steenbrink; updated references, removed typos, improved exposition; the section on intersection homology genera removed (it will be incorporated in a future paper)

Journal-ref: Math. Ann. 345 (2009), no. 4, 925-972

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)

[531] arXiv:math/0702381 [pdf, other]

Title: Large deviation asymptotics for continued fraction expansions

Marc Kesseböhmer, Mehdi Slassi

Comments: 15 pages

Journal-ref: Stochastics and Dynamics 8, no. 1, 103-113, 2008.

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

[532] arXiv:math/0702382 [pdf, other]

Title: Covers of the integers with odd moduli and their applications to the forms $x^m-2^n$ and $x^2-F_{3n}/2$

Ke-Jian Wu, Zhi-Wei Sun

Comments: 17 pages; accepted by Mathematics of Computation

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

[533] arXiv:math/0702383 [pdf, other]

Title: A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold

Willy Sarlet

Comments: This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL

Journal-ref: SIGMA 3 (2007), 024, 9 pages

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

[534] arXiv:math/0702384 [pdf, other]

Title: Quantitative property A, Poincare inequalities, L^p-compression and L^p-distortion for metric measure spaces

Romain Tessera

Comments: 26 pages

Subjects: Metric Geometry (math.MG)

[535] arXiv:math/0702385 [pdf, other]

Title: On a class of twistorial maps

Radu Pantilie

Comments: Preprint, I.M.A.R., 2006

Subjects: Differential Geometry (math.DG)

[536] arXiv:math/0702386 [pdf, other]

Title: On the Circular Law

F. Götze, A. Tikhomirov

Subjects: Probability (math.PR); Spectral Theory (math.SP)

[537] arXiv:math/0702387 [pdf, other]

Title: Abelian L-Functions at s=1 and Explicit Reciprocity for Rubin-Stark Elements

David Solomon

Comments: 41 pages. Several misprints corrected. Other minor changes

Subjects: Number Theory (math.NT)

[538] arXiv:math/0702388 [pdf, other]

Title: Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients

David Damanik (Rice), Rowan Killip (UCLA), Barry Simon (Caltech)

Comments: 64 pages, to appear in Ann. of Math

Journal-ref: Ann. of Math. 171 (2010), 1931-2010

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[539] arXiv:math/0702389 [pdf, other]

Title: Multiplicative functions in arithmetic progressions

Antal Balog, Andrew Granville, K. Soundararajan

Comments: 22 pages

Subjects: Number Theory (math.NT)

[540] arXiv:math/0702390 [pdf, other]

Title: The cohomology of monogenic extensions in the noncommutative setting

Marco Farinati, Jorge A. Guccione, Juan J. Guccione

Comments: 25 pages. Some examples added, and also the Gerstenhaber structure is computed in a big family of examples, including the rank one Hopf algebras

Subjects: K-Theory and Homology (math.KT)

[541] arXiv:math/0702391 [pdf, other]

Title: Stationary flows and uniqueness of invariant measures

Francois Baccelli, Takis Konstantopoulos

Subjects: Probability (math.PR)

[542] arXiv:math/0702392 [pdf, other]

Title: Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian

Luis Caffarelli, Sandro Salsa, Luis Silvestre

Subjects: Analysis of PDEs (math.AP)

[543] arXiv:math/0702393 [pdf, other]

Title: A slice genus lower bound from sl(n) Khovanov-Rozansky homology

Andrew Lobb

Comments: 68 pages, 43 figures; unused figures removed

Journal-ref: Adv. Math. 222 (2009) 1220-1276

Subjects: Geometric Topology (math.GT)

[544] arXiv:math/0702394 [pdf, other]

Title: Mahler measure under variations of the base group

Oliver T. Dasbach, Matilde N. Lalin

Comments: 21 pages

Journal-ref: Forum Math. 21 (2009), no. 4, 621--637

Subjects: Number Theory (math.NT); Geometric Topology (math.GT)

[545] arXiv:math/0702395 [pdf, other]

Title: A short proof that positive generation implies the Hanna Neumann Conjecture

Walter D Neumann

Comments: 1 page

Subjects: Group Theory (math.GR)

[546] arXiv:math/0702396 [pdf, other]

Title: What is good mathematics?

Terence Tao

Comments: 12 pages, no figures. To appear, Bull. Amer. Math. Soc

Subjects: History and Overview (math.HO)

[547] arXiv:math/0702397 [pdf, other]

Title: The quantum dilogarithm and representations quantum cluster varieties

V. V. Fock, A. B. Goncharov

Comments: Dedicated to David Kazhdan for his 60th birthday. The final version. To appear in Inventiones Math. The last Section of the previous versions was removed, and will become a separate paper

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

[548] arXiv:math/0702398 [pdf, other]

Title: Cluster ensembles, quantization and the dilogarithm II: The intertwiner

V.V. Fock, A.B. Goncharov

Comments: This is a new version of the last two chapters of our preprint ``Cluster ensembles, quantization and the dilogarithm'' math.AG/0311245

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG)

[549] arXiv:math/0702399 [pdf, other]

Title: Stacky Lie groups

Christian Blohmann

Comments: 40 pages; definition of group objects in higher categories added; coherence relations for groups in 2-categories given (section 4)

Journal-ref: Int. Mat. Res. Not. (2008) Vol. 2008: article ID rnn082, 51 pages

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Category Theory (math.CT)

[550] arXiv:math/0702400 [pdf, other]

Title: Representation Theory of Finite Semigroups, Semigroup Radicals and Formal Language Theory

Jorge Almeida, Stuart Margolis, Benjamin Steinberg, Mikhail Volkov

Journal-ref: Trans. Amer. Math. Soc. 361 (2009), 1429-1461

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