Mathematics

Authors and titles for December 2007

[901] arXiv:0712.3697 [pdf, other]

Title: The Baum-Connes conjecture for countable subgroups of SL(2)

Dmitry Matsnev

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

[902] arXiv:0712.3704 [pdf, other]

Title: On a Hasse principle for Mordell-Weil groups

Grzegorz Banaszak

Comments: First draft written on October 29, 2007. Submitted for publication

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

[903] arXiv:0712.3707 [pdf, other]

Title: On the realizations of high dimensional solenoids as attractors and as non-wondering sets

Fan Ding, Shicheng Wang, Jiangang Yao

Comments: This paper has been withdrawn

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS)

[904] arXiv:0712.3713 [pdf, other]

Title: Dynamic Phase Transitions in PVT Systems

Tian Ma, Shouhong Wang

Journal-ref: Indiana University Mathematics Journal,57 (2008), 2861-2890

Subjects: Mathematical Physics (math-ph)

[905] arXiv:0712.3718 [pdf, other]

Title: Picard groups of Siegel modular threefolds and theta lifting

Hongyu He, Jerome William Hoffman

Comments: 27 pages

Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)

[906] arXiv:0712.3719 [pdf, other]

Title: Isometries Groups and a Multiresolution Analysis on Sub-Riemannian Manifolds

Romina Cardo, Alvaro Corvalan

Comments: This article is submitted for publication

Subjects: Differential Geometry (math.DG)

[907] arXiv:0712.3725 [pdf, other]

Title: The rate of convergence of spectra of sample covariance matrices

F. Götze, A. Tikhomirov

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

[908] arXiv:0712.3729 [pdf, other]

Title: Passive systems with a normal main operator and quasi-selfadjoint systems

Yu.M. Arlinskiĭ, S. Hassi, H.S.V. de Snoo

Comments: 29 pages

Journal-ref: Complex Analysis and Operator Theory, 3 (2009), 19--56

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

[909] arXiv:0712.3730 [pdf, other]

Title: Subelliptic Bourgain-Brezis Estimates on Groups

Sagun Chanillo, Jean Van Schaftingen

Comments: 15 pages, v2 has some typos fixed in lemma 2.1

Journal-ref: Math. Res. Lett. 16 (2009), no. 3, 487-501

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[910] arXiv:0712.3733 [pdf, other]

Title: Elimination with applications to singularities in positive characteristic

Orlando Villamayor

Comments: 29 pages

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

[911] arXiv:0712.3736 [pdf, other]

Title: A dynamical system using the Voronoi tessellation

Natalie Priebe Frank, Sean Hart

Comments: 13 pages, 8 figures

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

[912] arXiv:0712.3743 [pdf, other]

Title: A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere equations

P. Eyssidieux, V. Guedj, A. Zeriahi

Comments: 6 pages

Subjects: Differential Geometry (math.DG)

[913] arXiv:0712.3748 [pdf, other]

Title: Galois theory for iterative connections and nonreduced Galois groups

Andreas Maurischat

Comments: 37 pages; v2->v3: more cross references to other papers are added in this version, the introduction is more detailed v3->v4: proof of Thm. 11.5iv) and of the following corollaries changed and hyperref added

Journal-ref: Transactions of the AMS, 362 (2010), no. 10, pp. 5411-5453

Subjects: Rings and Algebras (math.RA); General Mathematics (math.GM)

[914] arXiv:0712.3762 [pdf, other]

Title: Covering link calculus and iterated Bing doubles

Jae Choon Cha, Taehee Kim

Comments: 21 pages, 18 figures; typos fixed, sections 6 and 7 revised; to appear in Geometry and Topology

Subjects: Geometric Topology (math.GT)

[915] arXiv:0712.3763 [pdf, other]

Title: Cubature on Wiener space in infinite dimension

Christian Bayer, Josef Teichmann

Comments: revised version, accepted for publication in Proceedings Roy. Soc. A

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

[916] arXiv:0712.3764 [pdf, other]

Title: Vanishing of trace forms in low characteristics

Skip Garibaldi, Alexander Premet

Comments: Slightly revised since v3. Added short section 8 on Richardson's condition

Journal-ref: Algebra & Number Theory, vol. 3, #5 (2009), 543-566

Subjects: Representation Theory (math.RT)

[917] arXiv:0712.3766 [pdf, other]

Title: Convergent and conservative schemes for nonclassical solutions based on kinetic relations

Benjamin Boutin, Christophe Chalons, Frederic Lagoutiere, Philippe G. LeFloch

Comments: 31 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[918] arXiv:0712.3774 [pdf, other]

Title: The minimum entropy principle for fluid flows in a nozzle with discontinuous cross-section

Dietmar Kroener, Philippe G. LeFloch, Mai-Duc Thanh

Comments: 18 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[919] arXiv:0712.3777 [pdf, other]

Title: Convex Hulls of Orbits and Orientations of a Moving Protein Domain

Marco Longinetti, Luca Sgheri, Frank Sottile

Comments: 21 pages. Some mild revisions

Subjects: Metric Geometry (math.MG)

[920] arXiv:0712.3778 [pdf, other]

Title: The Riemann problem for the shallow water equations with discontinuous topography

Philippe G. LeFloch, Mai-Duc Thanh

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[921] arXiv:0712.3784 [pdf, other]

Title: The conjecture H: A lower bound of cohomologic dimension for an elliptic space

Mohamed Rachid Hilali, My Ismail Mamouni

Comments: 18 pages; Work exposed by the second author in the Algebraic topology conference of Angers, France, October 2007

Subjects: Algebraic Topology (math.AT)

[922] arXiv:0712.3794 [pdf, other]

Title: Simple algebras of Gelfand-Kirillov dimension two

Jason P. Bell

Comments: 6 pages; fixed reference and corrected a misquoted statement from the literature

Subjects: Rings and Algebras (math.RA)

[923] arXiv:0712.3801 [pdf, other]

Title: A Counterexample to a conjecture of Bosio and Meersseman

David Allen, Jose La Luz

Subjects: Symplectic Geometry (math.SG)

[924] arXiv:0712.3802 [pdf, other]

Title: Hyperbolic billiards with nearly flat focusing boundaries. I

Luca Bussolari, Marco Lenci

Comments: 21 pages, 9 figures

Journal-ref: Physica D 237 (2008), no. 18, 2272-2281

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

[925] arXiv:0712.3810 [pdf, other]

Title: Why many theories of shock waves are necessary. Kinetic functions, equivalent equations, and fourth-order models

Philippe G. LeFloch, Majid Mohammadian

Comments: 35 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[926] arXiv:0712.3815 [pdf, other]

Title: Rotation set for maps of degree 1 on the graph sigma

Sylvie Ruette

Comments: Changes in new version: numbers of theorems cited from [2] (consequence of editing process of [2]), modification of definition 2.8 (to avoid a possible ambiguity), reference [2] (now published), some typos

Journal-ref: Israel Journal of Mathematics, 184, 275-299, 2011

Subjects: Dynamical Systems (math.DS)

[927] arXiv:0712.3816 [pdf, other]

Title: The essential spectrum of the Laplacian on rapidly branching tessellations

Matthias Keller

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

[928] arXiv:0712.3818 [pdf, other]

Title: Serre's Condition R_l for Affine Semigroup Rings

Marie A. Vitulli

Comments: 13 pages

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

[929] arXiv:0712.3820 [pdf, other]

Title: Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert Sims

Journal-ref: Commun. Math. Phys. 286 (2009) 1073--1098

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

[930] arXiv:0712.3828 [pdf, other]

Title: Lie Algebroids and generalized projective structures on Riemann surfaces

A.Levin, M.Olshanetsky

Comments: 36 pages,AMS-LaTeX 1.2, Essentially revised and elaborated version of hep-th/0010043

Subjects: Quantum Algebra (math.QA)

[931] arXiv:0712.3836 [pdf, other]

Title: The well-ordering of dual braid monoids

Jean Fromentin (LMNO)

Subjects: Group Theory (math.GR)

[932] arXiv:0712.3837 [pdf, other]

Title: On the convergence to the multiple Wiener-Ito integral

Xavier Bardina, Maria Jolis, Ciprian Tudor (CES, SAMOS)

Subjects: Probability (math.PR)

[933] arXiv:0712.3840 [pdf, other]

Title: Invertible harmonic mappings, beyond Kneser

Giovanni Alessandrini, Vincenzo Nesi

Comments: One section added. 15 pages

Journal-ref: Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (5) VIII (2009), 451-468

Subjects: Analysis of PDEs (math.AP)

[934] arXiv:0712.3847 [pdf, other]

Title: Random and Integrable Models in Mathematics and Physics

Pierre van Moerbeke

Comments: Lectures (163 pages) at Montreal, CRM Short Program on Random Matrices, Random Processes and Integrable Systems, June 20 - July 8, 2005

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

[935] arXiv:0712.3850 [pdf, other]

Title: Fermat's Four Squares Theorem

Alf van der Poorten

Comments: 3 pqges

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

[936] arXiv:0712.3856 [pdf, other]

Title: Topics in Special Functions

G. D. Anderson, M. K. Vamanamurthy, M. Vuorinen

Comments: 22 pages

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[937] arXiv:0712.3857 [pdf, other]

Title: String topology for stacks

Kai Behrend, Grégory Ginot, Behrang Noohi, Ping Xu

Comments: extended version, 152 pages

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

[938] arXiv:0712.3859 [pdf, other]

Title: Classification of $k$-tangle projections using cascade representation

Andrey Bogdanov, Vadim Meshkov, Alexander Omelchenko, Michael Petrov

Comments: 15 pages, 15 figures and 3 tables

Subjects: Geometric Topology (math.GT)

[939] arXiv:0712.3863 [pdf, other]

Title: Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry

Maria Laura Barberis, Isabel G. Dotti, Misha Verbitsky

Comments: 19 pages, v. 4, added reference to arXiv:0803.2048 by S. Rollenske

Journal-ref: Math. Res. Lett. 16 (2009), no. 2, 331--347.

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

[940] arXiv:0712.3865 [pdf, other]

Title: Local smoothing for the backscattering transform

Ingrid Beltita, Anders Melin

Comments: 22 pages

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

[941] arXiv:0712.3868 [pdf, other]

Title: Correlation Inequalities for Spin Glass in one Dimension

Pierluigi Contucci, Francesco Unguendoli

Comments: typos corrected

Subjects: Mathematical Physics (math-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech)

[942] arXiv:0712.3869 [pdf, other]

Title: Jordan-Holder theorem for imprimitivity systems and maximal decompositions of rational functions

M. Muzychuk, F. Pakovich

Comments: In the current version the approach was considerably simplified and a lot of new material was added (see e.g. Section 2.2, Section 2.3 and Section 3.2). On the other hand, some results of rather calculating character were removed

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

[943] arXiv:0712.3873 [pdf, other]

Title: On the uniqueness of elliptic K3 surfaces with maximal singular fibre

Matthias Schuett, Andreas Schweizer

Comments: 20 pages; v2: refereed version with some corrections and additions; author addresses and bibliography updated

Journal-ref: Annales de l'institut Fourier, 63 no. 2 (2013), p. 689-713

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

[944] arXiv:0712.3875 [pdf, other]

Title: A Unified Approach to Local Cohomology Modules Using Serre Classes

Mohsen Asgharzadeh, Massoud Tousi

Comments: 10 pages

Journal-ref: Can. Math. Bull. 53 (2010) 577-586

Subjects: Commutative Algebra (math.AC)

[945] arXiv:0712.3877 [pdf, other]

Title: The Dehn function of Stallings' group

Will Dison, Murray Elder, Tim Riley, Robert Young

Comments: 19 pages, 2 figures

Journal-ref: Geometric and Functional Analysis, 19(2), pages 406-422, 2009

Subjects: Group Theory (math.GR)

[946] arXiv:0712.3878 [pdf, other]

Title: Trisecant Lemma for Non Equidimensional Varieties

J.Y. Kaminski, A. Kanel-Belov, M. Teicher

Journal-ref: J. Math. Sci., 149:2 (2008), 1087--1097

Subjects: Algebraic Geometry (math.AG)

[947] arXiv:0712.3881 [pdf, other]

Title: Further results on the Craig-Sakamoto equation

John Maroulas

Comments: International Conference of Applied and Engineering Mathematics (ICAEM 2007), London

Subjects: Rings and Algebras (math.RA)

[948] arXiv:0712.3882 [pdf, other]

Title: Arithmetic progressions in sets of fractional dimension

Izabella Laba, Malabika Pramanik

Comments: 42 pages

Journal-ref: Geom. Funct. Anal. 19 (2009), 429-456

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[949] arXiv:0712.3883 [pdf, other]

Title: The generalized Levinger transformation

M. Adam, J. Maroulas

Comments: 8th Workshop on "Numerical Ranges and Numerical Radii" (WONRA), University of Bremen, 2006

Subjects: Rings and Algebras (math.RA); Numerical Analysis (math.NA)

[950] arXiv:0712.3884 [pdf, other]

Title: Slow energy dissipation in anharmonic oscillator chains

Martin Hairer, Jonathan C. Mattingly

Comments: 29 pages, 1 figure Corrected version fixing error in equation (2.12) and a few typos

Subjects: Mathematical Physics (math-ph)