Mathematics

Authors and titles for December 2007

[301] arXiv:0712.1298 [pdf, other]

Title: On the classification of gradient Ricci solitons

Peter Petersen, William Wylie

Comments: 14 pages. case. v.4--Added formula for the f-laplacian of the curvature operator and applications

Journal-ref: Geom. Topol. 14 (2010) 2277-2300

Subjects: Differential Geometry (math.DG)

[302] arXiv:0712.1299 [pdf, other]

Title: Stability of strong ideal-gas shock layers

Jeffrey Humpherys, Gregory Lyng, Kevin Zumbrun

Subjects: Mathematical Physics (math-ph)

[303] arXiv:0712.1300 [pdf, other]

Title: Equidistribution of Horocyclic Flows on Complete Hyperbolic Surfaces of Finite Area

John H. Hubbard, Robyn L. Miller

Comments: 29 pages, 10 figures

Subjects: Dynamical Systems (math.DS); Probability (math.PR)

[304] arXiv:0712.1301 [pdf, other]

Title: The maximum spectral radius of C_4-free graphs of given order and size

Vladimir Nikiforov

Subjects: Combinatorics (math.CO)

[305] arXiv:0712.1302 [pdf, other]

Title: Spectrum of the product of Toeplitz matrices with application in probability

Bernard Bercu, Jean-Francois Bony, Vincent Bruneau

Comments: 16 pages

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

[306] arXiv:0712.1309 [pdf, other]

Title: Complex base numeral systems

Jarek Duda

Comments: 19 pages, 7 figures

Subjects: Dynamical Systems (math.DS); Discrete Mathematics (cs.DM)

[307] arXiv:0712.1317 [pdf, other]

Title: How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture

Luis Dieulefait

Comments: Survey based on two talks I gave last summer, at the Segundas Jornadas de Teoria de Numeros (Madrid) and at the Summer School on Serre's Modularity Conjecture (Luminy)

Subjects: Number Theory (math.NT)

[308] arXiv:0712.1319 [pdf, other]

Title: A homotopy theory for enrichment in simplicial modules

Alexandru E. Stanculescu

Comments: 6 pages, comments are welcome

Subjects: Category Theory (math.CT)

[309] arXiv:0712.1320 [pdf, other]

Title: A beginner's guide to forcing

Timothy Y. Chow

Comments: Accepted version (Contemp. Math.); bugs fixed, exposition improved, new references

Subjects: Logic (math.LO); History and Overview (math.HO)

[310] arXiv:0712.1321 [pdf, other]

Title: Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor

Jeffrey S. Case

Comments: Correction to one of the examples

Journal-ref: J. Geom. Phys., Volume 60, Issue 3, March 2010, 477-490

Subjects: Differential Geometry (math.DG)

[311] arXiv:0712.1323 [pdf, other]

Title: Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity

Daniel Lenz

Comments: 22 pages

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

[312] arXiv:0712.1324 [pdf, other]

Title: Koszul differential graded algebras and BGG correspondence

J.-W. He, Q.-S. Wu

Comments: 29 pages

Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT)

[313] arXiv:0712.1327 [pdf, other]

Title: Classification of Cohomogeneity One Manifolds in Low Dimensions

Corey A. Hoelscher

Subjects: Differential Geometry (math.DG)

[314] arXiv:0712.1328 [pdf, other]

Title: When Are Torsionless Modules Projective?

Rong Luo, Zhaoyong Huang

Comments: 10 pages

Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT)

[315] arXiv:0712.1329 [pdf, other]

Title: Strong non-collapsing and uniform Sobolev inequalities for Ricci flow with surgeries

Qi S. Zhang

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

[316] arXiv:0712.1331 [pdf, other]

Title: Super-linear elliptic equation for the Pucci operator without growth restrictions for the data

Maria J. Esteban (CEREMADE), Patricio Felmer (CMM), Alexander Quaas

Subjects: Analysis of PDEs (math.AP)

[317] arXiv:0712.1332 [pdf, other]

Title: Ramanujan-type formulae for $1/\pi$: A second wind?

Wadim Zudilin

Comments: 13 pages; v2: two typos corrected, references updated, numeration of formulae changed to agree with the published version

Journal-ref: Modular Forms and String Duality, N. Yui, H. Verrill, and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 179--188

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

[318] arXiv:0712.1333 [pdf, other]

Title: Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights

A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky

Comments: 59 pages, 11 figures

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph); Probability (math.PR)

[319] arXiv:0712.1339 [pdf, other]

Title: Joint Receiver and Transmitter Optimization for Energy-Efficient CDMA Communications

Stefano Buzzi, H. Vincent Poor

Comments: To appear in the IEEE Journal on Selected Areas in Communications - Special Issue on Multiuser Detection for Advanced Communication Systems and Networks

Subjects: Information Theory (cs.IT); Computer Science and Game Theory (cs.GT)

[320] arXiv:0712.1357 [pdf, other]

Title: Connectivity of the Product Replacement Algorithm Graph of PSL(2,q)

Shelly Garion

Comments: 12 pages. This article was submitted to the Journal of Group Theory on July 2007 and accepted on December 2007

Journal-ref: J. Group Theory 11 (2008), 765-777

Subjects: Group Theory (math.GR)

[321] arXiv:0712.1360 [pdf, other]

Title: Signal Recovery from Incomplete and Inaccurate Measurements via Regularized Orthogonal Matching Pursuit

Deanna Needell, Roman Vershynin

Subjects: Numerical Analysis (math.NA)

[322] arXiv:0712.1366 [pdf, other]

Title: An expansion for polynomials orthogonal over an analytic Jordan curve

Erwin Miña-Díaz

Comments: 15 pages, 1 figure

Journal-ref: Communications in Mathematical Physics. Vol. 285, 3:1109-1128 (2009)

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

[323] arXiv:0712.1372 [pdf, other]

Title: Dynkin's Isomorphism with Sign Structure

Kshitij Khare

Subjects: Statistics Theory (math.ST)

[324] arXiv:0712.1373 [pdf, other]

Title: Behavior of bounded solutions of quasilinear elliptic equations on Riemannian manifolds

A.B.Ivanov

Subjects: Analysis of PDEs (math.AP)

[325] arXiv:0712.1375 [pdf, other]

Title: Commutation relations and Markov chains

Jason Fulman

Comments: 37 pages; referee suggestions implemented, discuss up-down chains as well, slightly better bounds in Props. 5.6, 7.6

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

[326] arXiv:0712.1377 [pdf, other]

Title: On classification of modular tensor categories

Eric Rowell, Richard Stong, Zhenghan Wang

Comments: Several references added. Minor revisions of the abstract, introduction and Section 2. Error in one R-matrix eigenvalue for (A_1,2) in the published version corrected

Journal-ref: Comm. Math. Phys. 292 (2009) no. 2, 343--389

Subjects: Quantum Algebra (math.QA); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Geometric Topology (math.GT)

[327] arXiv:0712.1378 [pdf, other]

Title: Lyapunov Exponents of Free Operators

Vladislav Kargin

Comments: 16 pages

Journal-ref: Journal of Functional Analysis, 2008, 255, 1874-1888

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[328] arXiv:0712.1381 [pdf, other]

Title: Cluster combinatorics of d-cluster categories

Yu Zhou, Bin Zhu

Comments: correted many typos according to the referee's comments, final version to appear in J. Algebra

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

[329] arXiv:0712.1385 [pdf, other]

Title: Cotangent Microbundle Category, I

Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein

Comments: 32 pages, 5 figures

Subjects: Mathematical Physics (math-ph); Symplectic Geometry (math.SG)

[330] arXiv:0712.1391 [pdf, other]

Title: The Hyperbolic Lattice Point Count in Infinite Volume with Applications to Sieves

Alex V. Kontorovich

Comments: 33 pages, 1 figure, minor corrections. To appear, Duke Math J

Journal-ref: Duke Math. J. 149, no. 1 (2009), 1-36

Subjects: Number Theory (math.NT); Spectral Theory (math.SP)

[331] arXiv:0712.1393 [pdf, other]

Title: Local wellposedness for the 2+1 dimensional monopole equation

Magdalena Czubak

Comments: 23 pages; Added some remarks, and rewrote parts of Sections 4 and 5; Submitted

Subjects: Analysis of PDEs (math.AP)

[332] arXiv:0712.1398 [pdf, other]

Title: Prolongations of Lie algebras and applications

Paul-Andi Nagy

Comments: New version. Proofs shortened, one section added on flat connections with 3-form torsion

Journal-ref: Journal of Lie Theory 23 (2013), No. 1, 1-33

Subjects: Differential Geometry (math.DG)

[333] arXiv:0712.1401 [pdf, other]

Title: Measures on two-component configuration spaces

D.L. Finkelshtein

Journal-ref: Condensed Matter Physics, 2009, 12(1), p. 5-18

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

[334] arXiv:0712.1414 [pdf, other]

Title: One metric result about analytic continuation of some Dirichlet series

Irina Rezvyakova

Comments: 4 pages

Subjects: Complex Variables (math.CV); Number Theory (math.NT)

[335] arXiv:0712.1426 [pdf, other]

Title: C*-Algebras over Topological Spaces: The Bootstrap Class

Ralf Meyer, Ryszard Nest

Comments: Final version, very minor changes

Journal-ref: Munster J. Math. 2 (2009), pp. 215-252

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

[336] arXiv:0712.1442 [pdf, other]

Title: On types of growth for graph-different permutations

János Körner, Gábor Simonyi, Blerina Sinaimeri

Comments: 14 pages+title page

Subjects: Combinatorics (math.CO); Information Theory (cs.IT)

[337] arXiv:0712.1455 [pdf, other]

Title: On contact equivalence of systems of ordinary differential equations

Wojciech Kryński

Subjects: Classical Analysis and ODEs (math.CA); Differential Geometry (math.DG)

[338] arXiv:0712.1456 [pdf, other]

Title: Detecting abrupt changes of the long-range dependence or the self-similarity of a Gaussian process

Jean-Marc Bardet (SAMOS, Ces), Imen Kammoun (SAMOS, Ces)

Subjects: Statistics Theory (math.ST)

[339] arXiv:0712.1457 [pdf, other]

Title: Abel maps of Gorenstein curves

Lucia Caporaso, Juliana Coelho, Eduardo Esteves

Subjects: Algebraic Geometry (math.AG)

[340] arXiv:0712.1460 [pdf, other]

Title: Bounds on Tur{\'a}n determinants

Christian Berg (University of Copenhagen), Ryszard Szwarc (University of Wroclaw)

Subjects: Classical Analysis and ODEs (math.CA)

[341] arXiv:0712.1464 [pdf, other]

Title: Spectral Radius and Amenability in Hilbert Geometries

Constantin Vernicos

Comments: 24 pages, 3 figures

Journal-ref: Houston Journal of Math, 35(4):1143-1169 (2009)

Subjects: Differential Geometry (math.DG); General Mathematics (math.GM)

[342] arXiv:0712.1465 [pdf, other]

Title: Binary and Ternary Quasi-perfect Codes with Small Dimensions

Tsonka Baicheva, Iliya Bouyukliev, Stefan Dodunekov, Veerle Fack

Comments: 4 pages

Journal-ref: IEEE Transactions on Information Theory, vol. 54, issue 9, pp. 4335-4339, 2008

Subjects: Combinatorics (math.CO)

[343] arXiv:0712.1468 [pdf, other]

Title: High frequency limit of the Transport Cross Section and boundedness of the Total Cross Section in scattering by an obstacle with impedance boundary conditions

A. I. Aleksenko, J. P. Cruz, E. L. Lakshtanov

Journal-ref: J. Phys. A: Math. Theor., 41(1), 255203 (5pp), 2008

Subjects: Mathematical Physics (math-ph)

[344] arXiv:0712.1472 [pdf, other]

Title: Classification of Connections on Higher-Dimensional Non-Commutative Tori

Ryszard Nest, Rolf Dyre Svegstrup

Comments: 13 pages

Subjects: Operator Algebras (math.OA); Differential Geometry (math.DG); Quantum Algebra (math.QA)

[345] arXiv:0712.1495 [pdf, other]

Title: Three conjectures on lagrangian tori in the projective plane

Nikolay A. Tyurin

Comments: 17 pages, no figas

Subjects: Symplectic Geometry (math.SG); Mathematical Physics (math-ph)

[346] arXiv:0712.1496 [pdf, other]

Title: A basis for the polynomial eigenfunctions of deformed Calogero-Moser-Sutherland operators

Martin Hallnäs

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph)

[347] arXiv:0712.1497 [pdf, other]

Title: How universal are asymptotics of disconnection times in discrete cylinders?

Alain-Sol Sznitman

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

Journal-ref: Annals of Probability 2008, Vol. 36, No. 1, 1-53

Subjects: Probability (math.PR)

[348] arXiv:0712.1500 [pdf, other]

Title: Curvature estimates for minimal surfaces with total boundary curvature less than 4\pi

Giuseppe Tinaglia

Comments: 7 pages

Subjects: Differential Geometry (math.DG)

[349] arXiv:0712.1501 [pdf, other]

Title: Equilateral quantum graphs and boundary triples

Olaf Post

Comments: 19 pages, some references added

Subjects: Mathematical Physics (math-ph)

[350] arXiv:0712.1507 [pdf, other]

Title: Spectral analysis of metric graphs and related spaces

Olaf Post

Comments: 24 pages, extended version of a lecture held at the EPF Lausanne, some references added and typos corrected

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