Mathematics

Authors and titles for January 2009

[901] arXiv:0901.3580 [pdf, other]

Title: Feedback Capacity of the Gaussian Interference Channel to Within 1.7075 Bits: the Symmetric Case

Changho Suh, David Tse

Comments: submitted to the International Symposium and Information Theory

Subjects: Information Theory (cs.IT)

[902] arXiv:0901.3581 [pdf, other]

Title: Generalized Whittle-Mat$\acute{\text{E}}$rn random field as a model of correlated fluctuations

S.C. Lim, L.P. Teo

Comments: 22 pages, 10 figures, accepted by Journal of Physics A

Journal-ref: J. Phys. A 42 (2009), 105202

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

[903] arXiv:0901.3583 [pdf, other]

Title: Discontinuous Dynamical Systems: A tutorial on solutions, nonsmooth analysis, and stability

Jorge Cortes

Journal-ref: IEEE Control Systems Magazine 28 (3) (2008), 36-73

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[904] arXiv:0901.3594 [pdf, other]

Title: On extension of coverings

Manfred Droste, Igor Rivin

Comments: More results, LOTS more references

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

[905] arXiv:0901.3596 [pdf, other]

Title: Joint source-channel with side information coding error exponents

Cheng Chang

Comments: In preparation for IEEE Transactions on IT

Subjects: Information Theory (cs.IT)

[906] arXiv:0901.3599 [pdf, other]

Title: Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices

Junichi Shigezumi

Comments: 20 pages, 9 figures. this http URL

Subjects: Combinatorics (math.CO)

[907] arXiv:0901.3600 [pdf, other]

Title: Universality in Multidimensional Symbolic Dynamics

Michael Hochman

Comments: 17 pages

Journal-ref: DCDS-S Volume 2 (2009), Issue 2, pp 301 - 314

Subjects: Dynamical Systems (math.DS); Logic (math.LO)

[908] arXiv:0901.3602 [pdf, other]

Title: A cartesian presentation of weak n-categories

Charles Rezk

Comments: Incorporates corrections to the published version, which appeared in a separate correction note

Journal-ref: Geom. Topol. 14 (2010) 521-571

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

[909] arXiv:0901.3604 [pdf, other]

Title: Rohlin properties for $Z^d$-actions on the Cantor set

Michael Hochman

Comments: 15 pages

Journal-ref: Trans. Amer. Math. Soc. 364 (2012), 1127-1143

Subjects: Dynamical Systems (math.DS); Logic (math.LO)

[910] arXiv:0901.3605 [pdf, other]

Title: A ratio ergodic theorem for multiparameter non-singular actions

Michael Hochman

Comments: 21 pages, to appear in JEMS

Journal-ref: JEMS, Volume 12 (2010), Issue 2, pp 365-383

Subjects: Dynamical Systems (math.DS)

[911] arXiv:0901.3606 [pdf, other]

Title: On notions of determinism in topological dynamics

Michael Hochman

Comments: 27 pages; minor corrections to old version

Journal-ref: Ergodic Theory and Dynamical Systems, Volume 32 (2012), Issue 01, pp 119-140

Subjects: Dynamical Systems (math.DS)

[912] arXiv:0901.3607 [pdf, other]

Title: On the regularity of global attractors

Monica Conti, Vittorino Pata

Comments: 11 pages

Subjects: Dynamical Systems (math.DS)

[913] arXiv:0901.3623 [pdf, other]

Title: $C^k$-smooth approximations of LUR norms

Petr Hajek, Antonin Prochazka (IMB)

Subjects: Functional Analysis (math.FA)

[914] arXiv:0901.3630 [pdf, other]

Title: Decay of Correlations in Low Density Parity Check Codes: Low Noise Regime

Shrinivas Kudekar, Nicolas Macris

Comments: 5 pages, submitted to ISIT 2009

Subjects: Information Theory (cs.IT)

[915] arXiv:0901.3633 [pdf, other]

Title: A short geometric proof of a conjecture of Fulton

Nicolas Ressayre (I3M)

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

[916] arXiv:0901.3639 [pdf, other]

Title: $C^0$-rigidity of characteristics in symplectic geometry

Emmanuel Opshtein

Comments: 9 pages

Subjects: Symplectic Geometry (math.SG)

[917] arXiv:0901.3641 [pdf, other]

Title: Genus formula for modular curves of $D$-elliptic sheaves

Mihran Papikian

Comments: 13 pages, 2 tables

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

[918] arXiv:0901.3646 [pdf, other]

Title: Fixed point and spectral characterization of finite dimensional C*-algebras

S. Dhompongsa, W. Fupinwong, W. Lawton

Comments: 6 pages, no figures

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA)

[919] arXiv:0901.3647 [pdf, other]

Title: Weyl-parallel forms, conformal products and Einstein-Weyl manifolds

Florin Belgun, Andrei Moroianu

Comments: 24 pages

Journal-ref: Asian Journal of Mathematics 15 (4), 499-520 (2011)

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

[920] arXiv:0901.3658 [pdf, other]

Title: Global Solutions for Incompressible Viscoelastic Fluids

Zhen Lei, Chun Liu, Yi Zhou

Comments: We prove the existence of global smooth solutions to the Cauchy problem for the incompressible viscoelastic system of Oldroyd-B type in the case of near equilibrium initial data

Journal-ref: Arch. Ration. Mech. Anal., 188 (2008), no. 3, 371--398

Subjects: Analysis of PDEs (math.AP)

[921] arXiv:0901.3661 [pdf, other]

Title: Having cut-points is not a Whitney reversible property

Eiichi Matsuhashi

Subjects: General Topology (math.GN)

[922] arXiv:0901.3671 [pdf, other]

Title: Correspondance de Springer modulaire et matrices de d\'ecomposition

Daniel Juteau (LMNO)

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

[923] arXiv:0901.3678 [pdf, other]

Title: The retarded van der Waals potential - revisited

Tadahiro Miyao, Herbert Spohn

Comments: 26 pages

Subjects: Mathematical Physics (math-ph)

[924] arXiv:0901.3681 [pdf, other]

Title: Computation of Principal A-determinants through Dimer Dynamics

Jan Stienstra

Comments: 17 pages, to appear in proceedings of conference 'New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry', Kyoto, January 2008

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

[925] arXiv:0901.3688 [pdf, other]

Title: Relaxation et passage 3D-2D avec contraintes de type d\'eterminant

Omar Anza Hafsa, Jean-Philippe Mandallena

Comments: 62 pages

Subjects: Analysis of PDEs (math.AP)

[926] arXiv:0901.3689 [pdf, other]

Title: Endomorphisms of exceptional $D$-elliptic sheaves

Mihran Papikian

Comments: 17 pages

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

[927] arXiv:0901.3691 [pdf, other]

Title: Generalizations of a theorem about the binomial coefficient

Shaohua Zhang

Comments: The title is changed. The paper has been improved and shortened. JP Journal of Algebra and Number Theory 14(2) (2009), 177-184, to appear. The paper "Generalizations of Several Theorems about the Binomial Coefficient and Grimm Conjecture" is available at arXiv:0901.3691v1

Subjects: General Mathematics (math.GM)

[928] arXiv:0901.3697 [pdf, other]

Title: Logconcave Random Graphs

Alan Frieze, Santosh Vempala, Juan Vera

Journal-ref: Electronic Journal of Combinatorics 17 (2010) R108

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

[929] arXiv:0901.3701 [pdf, other]

Title: A Complete Global Solution to the Pressure Gradient Equation

Zhen Lei, Yuxi Zheng

Comments: We establish global existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions

Journal-ref: Journal of Differential Equations 236 (2007), no. 1, 280--292

Subjects: Analysis of PDEs (math.AP)

[930] arXiv:0901.3704 [pdf, other]

Title: Magnetic pseudodifferential operators with coefficients in C*-algebras

Max Lein, M. Mantoiu, S. Richard

Comments: 23 pages

Journal-ref: Publ. RIMS Kyoto Univ., 46:755-788, 2010

Subjects: Mathematical Physics (math-ph)

[931] arXiv:0901.3713 [pdf, other]

Title: Large zero-free subsets of Z/pZ

Jean-Marc Deshouillers, Gyan Prakash

Comments: 17 pages

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

[932] arXiv:0901.3714 [pdf, other]

Title: On hyperelliptic modular curves over function fields

Mihran Papikian

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

[933] arXiv:0901.3735 [pdf, other]

Title: Trees, quaternion algebras and modular curves

Mihran Papikian

Comments: 14 pages

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

[934] arXiv:0901.3736 [pdf, other]

Title: Unimodal wave trains and solitons in convex FPU chains

Michael Herrmann

Comments: 27 pages, several figures

Journal-ref: Proc. R. Soc. Edinb. Sect. A-Math., vol. 140, no. 4, pp. 753-785, 2010

Subjects: Mathematical Physics (math-ph)

[935] arXiv:0901.3739 [pdf, other]

Title: Anosov automorphisms on nilmanifolds in dimensions 9 and 10

Meera G. Mainkar, Cynthia E. Will

Comments: A new paper "Characterization of of 9-dimensional Anosov Lie algebras", arXiv:1411.2006, was submitted which contains stronger results than this version. Work on 10-dimensional Anosov Lie algebras is in progress

Subjects: Dynamical Systems (math.DS)

[936] arXiv:0901.3749 [pdf, other]

Title: Equations for hidden Markov models

Alexander Schoenhuth

Comments: 28 pages; Results presented at the Workshop on Algebraic Statistics, MSRI, UC Berkeley, Dec. 2008. Simplified arguments

Subjects: Statistics Theory (math.ST); Algebraic Geometry (math.AG); Computation (stat.CO)

[937] arXiv:0901.3764 [pdf, other]

Title: Controllability, Observability, Realizability, and Stability of Dynamic Linear Systems

John M. Davis, Ian A. Gravagne, Billy J. Jackson, Robert J. Marks II

Comments: typos corrected; current form is as accepted in EJDE

Journal-ref: Electron. J. Diff. Eqns., Vol. 2009(2009), No. 37, pp. 1-32

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[938] arXiv:0901.3774 [pdf, other]

Title: Graphs of subgroups of free groups

Larsen Louder, D. B. McReynolds

Comments: To appear in Algebr. and Geom. Topol

Journal-ref: Algebr. and Geom. Topol. 9 (2009), 327-335.

Subjects: Group Theory (math.GR)

[939] arXiv:0901.3786 [pdf, other]

Title: Refined Asymptotics for Multigraded Sums of Squares

J. Maurice Rojas, Swaminathan Sethuraman

Comments: There is an error invalidating the bounds of our main theorem. We are withdrawing this paper until we can replace it with a correct new version

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

[940] arXiv:0901.3787 [pdf, other]

Title: Multiplication operators on the Bergman space via analytic continuation

Ronald G. Douglas, Shunhua Sun, Dechao Zheng

Subjects: Functional Analysis (math.FA)

[941] arXiv:0901.3795 [pdf, other]

Title: On a random number of disorders

Krzysztof Szajowski

Comments: in Institute of Mathematics, Polish Academy of Science, Preprint no. 702, 25 references, 34 pages

Journal-ref: Probability and Mathematical Statistics, vol. 31, Fasc. 1 (2011), pp. 17-45

Subjects: Probability (math.PR); Information Theory (cs.IT); Statistics Theory (math.ST)

[942] arXiv:0901.3797 [pdf, other]

Title: Capping off open books and the Ozsvath-Szabo contact invariant

John A. Baldwin

Comments: 29 pages, 15 figures. Added section on support genera for genus one, one boundary component open books. Added result about gluing open books

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

[943] arXiv:0901.3804 [pdf, other]

Title: On closed geodesics in the leaf spaces of singular Riemannian foliations

Marcos M. Alexandrino, Miguel Angel Javaloyes

Comments: 18 pages. A section was expanded and new results were added. The final publication is available at this http URL

Journal-ref: Glasgow Mathematical Journal, 53 (2011), pp 555-568

Subjects: Differential Geometry (math.DG)

[944] arXiv:0901.3805 [pdf, other]

Title: Growth Rates and Explosions in Sandpiles

Anne Fey, Lionel Levine, Yuval Peres

Comments: 19 pages, 4 figures, to appear in Journal of Statistical Physics. v2 corrects the proof of the outer bound of Theorem 4.1 of arXiv:0704.0688

Journal-ref: J. Stat. Phys. 138, 143--159 (2010)

Subjects: Combinatorics (math.CO); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR)

[945] arXiv:0901.3809 [pdf, other]

Title: Interference channel capacity region for randomized fixed-composition codes

Cheng Chang

Comments: In preparation for IEEE Transactions on IT

Subjects: Information Theory (cs.IT)

[946] arXiv:0901.3814 [pdf, other]

Title: On the global maximum of the solution to a stochastic heat equation with compact-support initial data

Mohammud Foondun, Davar Khoshnevisan

Subjects: Probability (math.PR)

[947] arXiv:0901.3820 [pdf, other]

Title: On the rate distortion function of Bernoulli Gaussian sequences

Cheng Chang

Comments: In preparation for IEEE Transactions on IT

Subjects: Information Theory (cs.IT)

[948] arXiv:0901.3822 [pdf, other]

Title: A binary infinitesimal form of Teichmuller metric

Guowu Yao

Comments: 10 pages(to appear after modified)

Subjects: Complex Variables (math.CV)

[949] arXiv:0901.3825 [pdf, other]

Title: Filter-regular sequences and mixed multiplicities

Nguyen Tien Manh, Duong Quoc Viet

Comments: 23 pages

Subjects: Commutative Algebra (math.AC)

[950] arXiv:0901.3832 [pdf, other]

Title: Tate Safarevich groups of elliptic curves with complex multiplication

J.Coates, Z. Liang, R. Sujatha

Subjects: Number Theory (math.NT)