Mathematics

Authors and titles for October 2007

[1301] arXiv:0710.5669 [pdf, other]

Title: Graphs with extremal energy should have a small number of distinct eigenvalues

Dragos Cvetkovic, Jason Grout

Comments: 17 pages; contains a SAGE program and minor grammatical corrections that are not contained in the published version

Journal-ref: Cvetkovi\' c D., Grout J., Maximal energy graphs should have a small number of distinct eigenvalues, Bull. Acad. Serbe Sci. Arts, Cl. Sci. Math. Natur., Sci. Math., 134(2007), No. 32, 43-57

Subjects: Combinatorics (math.CO)

[1302] arXiv:0710.5673 [pdf, other]

Title: Surgery and the spinorial tau-invariant

Bernd Ammann (IECN, Universitaet Regensburg), Mattias Dahl (KTH Stockholm), Emmanuel Humbert (IECN)

Comments: to appear in CPDE

Journal-ref: Comm. Partial Differential Equations 34 (2009), no. 10-12, 1147-1179

Subjects: Differential Geometry (math.DG)

[1303] arXiv:0710.5681 [pdf, other]

Title: q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions

Yilmaz Simsek

Comments: 22 pages

Journal-ref: Nonlinear Analysis 2009

Subjects: Number Theory (math.NT)

[1304] arXiv:0710.5683 [pdf, other]

Title: The random case of Conley's theorem: II. The complete Lyapunov function

Zhenxin Liu

Comments: 14 pages, no figure

Journal-ref: Nonlinearity 20 (2007), 1017--1030

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

[1305] arXiv:0710.5685 [pdf, other]

Title: Simultaneous inhomogeneous Diophantine approximation on manifolds

Victor Beresnevich, Sanju Velani

Comments: Dedicated to A.O. Gelfond on what would have been his 100th birthday 13 pages

Subjects: Number Theory (math.NT)

[1306] arXiv:0710.5687 [pdf, other]

Title: The random case of Conley's theorem: III. Random semiflow case and Morse decomposition

Zhenxin Liu

Comments: 21 pages, no figure

Journal-ref: Nonlinearity 20 (2007), 2773--2791

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

[1307] arXiv:0710.5708 [pdf, other]

Title: A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations

Masoumeh Dashti, James C. Robinson

Comments: 13 pages, 0 figures

Journal-ref: Nonlinearity 22, 735-746, 2009

Subjects: Analysis of PDEs (math.AP)

[1308] arXiv:0710.5711 [pdf, other]

Title: Generating connected and biconnected graphs

Angela Mestre

Comments: v4, v5: minor corrections; v3: 30 pages, substantially revised version; two new sections with alternative recursion formula for loopless graphs and with algorithmic considerations added; v2: 25 pages, substantially revised notation and terminology; new section with recursion formula for simple graphs added; appendixes added

Journal-ref: Journal of Graph Algorithms and Applications, Vol. 13, no. 2, pp. 251-281, 2009

Subjects: Combinatorics (math.CO)

[1309] arXiv:0710.5713 [pdf, other]

Title: Complete families of linearly non-degenerate rational curves

Matthew DeLand

Comments: 14 pages

Journal-ref: Can. Math. Bull. 54 (2011) 430-441

Subjects: Algebraic Geometry (math.AG)

[1310] arXiv:0710.5718 [pdf, other]

Title: Normal triangulations in o-minimal structures

Elias Baro

Subjects: Logic (math.LO)

[1311] arXiv:0710.5724 [pdf, other]

Title: Existence of K\"ahler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

Gordon Heier

Comments: 15 pages

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

[1312] arXiv:0710.5725 [pdf, other]

Title: Convergence of the K\"ahler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

Gordon Heier

Comments: 15 pages

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

[1313] arXiv:0710.5728 [pdf, other]

Title: The H-principle and Pseudoconcave CR Manifolds

C. Denson Hill, Egmont Porten

Journal-ref: Contemporary Mathematics, AMS, 389 (2005), 117-123

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

[1314] arXiv:0710.5729 [pdf, other]

Title: On the geometry of V-systems

M. Feigin, A.P. Veselov

Comments: 18 pages, 1 figure

Subjects: Mathematical Physics (math-ph)

[1315] arXiv:0710.5742 [pdf, other]

Title: Mathematical Foundations of Supersymmetry

L. Caston, R. Fioresi

Subjects: Rings and Algebras (math.RA); Commutative Algebra (math.AC)

[1316] arXiv:0710.5744 [pdf, other]

Title: On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk

O. Lisovyy

Comments: 38 pages, 5 figures

Journal-ref: J.Math.Phys.49:093507,2008

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA)

[1317] arXiv:0710.5745 [pdf, other]

Title: Random Walk on a Surface Group: Boundary Behavior of the Green's Function at the Spectral Radius

Steven P. Lalley

Comments: Minor corrections of version 2

Subjects: Probability (math.PR); Group Theory (math.GR)

[1318] arXiv:0710.5749 [pdf, other]

Title: On the Laplace transform of some quadratic forms and the exact distribution of the sample variance from a gamma or uniform parent distribution

T. Royen

Comments: 9 pages

Subjects: Statistics Theory (math.ST)

[1319] arXiv:0710.5751 [pdf, other]

Title: A Vanishing Result for Toric Varieties Associated with Root Systems

Qëndrim R. Gashi

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

[1320] arXiv:0710.5752 [pdf, other]

Title: Some classifications of \infty-Harmonic maps between Riemannian manifolds

Ze-Ping Wang, Ye-Lin Ou

Comments: 25 pages

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

[1321] arXiv:0710.5753 [pdf, other]

Title: Integrability and reduction of Poisson group actions

Luca Stefanini

Comments: 20 pages, corrected misspellt preposition in the title

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)

[1322] arXiv:0710.5755 [pdf, other]

Title: On axiomatic aspects of N=2 vertex superalgebras with odd formal variables, and deformations of N=1 vertex superalgebras

Katrina Barron

Comments: 94 pages

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1323] arXiv:0710.5758 [pdf, other]

Title: Grassmannian Beamforming for MIMO Amplify-and-Forward Relaying

Behrouz Khoshnevis, Wei Yu, Raviraj Adve

Comments: Submitted to IEEE Journal of Selected Areas in Communications, Special Issue on Exploiting Limited Feedback in Tomorrows Wireless Communication Networks

Subjects: Information Theory (cs.IT)

[1324] arXiv:0710.5761 [pdf, other]

Title: On exotic modular tensor categories

Seung-moon Hong, Eric Rowell, Zhenghan Wang

Comments: Minor changes and addition of a few references. To appear in the special volume of CCM dedicated to Xiao-Song Lin

Subjects: Geometric Topology (math.GT); Category Theory (math.CT); Quantum Algebra (math.QA)

[1325] arXiv:0710.5772 [pdf, other]

Title: Pre-Poisson submanifolds

Alberto S. Cattaneo, Marco Zambon

Comments: Proceedings of the conference "Poisson 2006". 14 pages

Journal-ref: Travaux Mathematiques, Vol. XVII (2007), pp. 61-74

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)

[1326] arXiv:0710.5779 [pdf, other]

Title: Geometric approach towards stable homotopy groups of spheres. The Hopf invariant

Petr M. Akhmet'ev

Comments: 99 pages, in Russian

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT)

[1327] arXiv:0710.5783 [pdf, other]

Title: Logarithmic singularities of Schwartz kernels and local invariants of conformal and CR structures

Raphael Ponge (University of Toronto)

Comments: 44 pages

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

[1328] arXiv:0710.5785 [pdf, other]

Title: On extremely amenable groups of homeomorphisms

Vladimir Uspenskij

Comments: 10 pages

Journal-ref: Topology Proceedings 33 (2009), 1--12

Subjects: Dynamical Systems (math.DS); General Topology (math.GN)

[1329] arXiv:0710.5787 [pdf, other]

Title: The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups

Joshua S. Friedman

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

[1330] arXiv:0710.5790 [pdf, other]

Title: On uniform continuity of Cauchy's function and uniform convergence of Cauchy's integral formula with applications

Theodore Yaotsu Wu

Comments: 21 pages, 2 figures

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph)

[1331] arXiv:0710.5793 [pdf, other]

Title: Congruences for Andrews' Smallest Parts Partition Function and New Congruences for Dyson's Rank

F.G. Garvan

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

[1332] arXiv:0710.5797 [pdf, other]

Title: The distribution of maxima of approximately Gaussian random fields

Yuval Nardi, David O. Siegmund, Benjamin Yakir

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

Journal-ref: Annals of Statistics 2008, Vol. 36, No. 3, 1375-1403

Subjects: Statistics Theory (math.ST)

[1333] arXiv:0710.5799 [pdf, other]

Title: Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

Scott D. Kominers, Zachary Abel

Comments: 5 pages. To appear, Journal de Theorie des Nombres de Bordeaux

Journal-ref: Journal de Theorie des Nombres de Bordeaux 20, (2008), 365-371

Subjects: Number Theory (math.NT)

[1334] arXiv:0710.5800 [pdf, other]

Title: Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem

Alin Ciuperca, Leonel Robert, Luis Santiago

Subjects: Operator Algebras (math.OA)

[1335] arXiv:0710.5806 [pdf, other]

Title: Bernoulli-Taylor formula in the case of Q-umbral Calculus

Ewa Krot-Sieniawska

Comments: 6 pages, presented at The 8th Conference on Geometry and Topology of Manifolds, Przemysl-Lviv, 30.04.07 - 6.05.2007

Subjects: General Mathematics (math.GM)

[1336] arXiv:0710.5810 [pdf, other]

Title: Note on q-extensions of Euler numbers and polynomials of higher order

Taekyun Kim, Leechae Jang, Cheon-Seoung Ryoo

Comments: 11 pages

Subjects: Number Theory (math.NT)

[1337] arXiv:0710.5815 [pdf, other]

Title: Periodic cyclic homology of reductive p-adic groups

Maarten Solleveld

Comments: Second version, 56 pages. Lemma 2.9 of the first version was incorrect, and has been replaced by Lemma 2.12. Several proofs have been written down more clearly

Journal-ref: Journal of Noncommutative Geometry 3 (2009), 501-558

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

[1338] arXiv:0710.5818 [pdf, other]

Title: Asymptotic behavior of Tor over complete intersections and applications

Hailong Dao

Subjects: Commutative Algebra (math.AC)

[1339] arXiv:0710.5826 [pdf, other]

Title: On a random recursion related to absorption times of death Markov chains

Alex Iksanov, Martin Möhle

Comments: 33 pages

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

[1340] arXiv:0710.5835 [pdf, other]

Title: On finite index subgroups of a universal group

G. Brumfiel, H. Hilden, M.T. Lozano, J.M. Montesinos--Amilibia, E. Ramirez--Losada, H. Short, D. Tejada, D. Toro

Comments: 15 pages, 9 figures

Subjects: Geometric Topology (math.GT)

[1341] arXiv:0710.5839 [pdf, other]

Title: Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms

S. Albeverio, Sh. A. Ayupov, A. A. Zaitov, J. E. Ruziev

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

[1342] arXiv:0710.5845 [pdf, other]

Title: Sturm numbers and substitution invariance of 3iet words

Pierre Arnoux, Valérie Berthé, Zuzana Masáková, Edita Pelantová

Comments: 13pages

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

[1343] arXiv:0710.5848 [pdf, other]

Title: Ising model fog drip: the first two droplets

Dmitry Ioffe, Senya Shlosman

Subjects: Mathematical Physics (math-ph)

[1344] arXiv:0710.5853 [pdf, other]

Title: Geometric approach towards stable homotopy groups of spheres. Kervaire Invariant

Peter M. Akhmet'ev

Comments: 82pp. (In Russian)

Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT)

[1345] arXiv:0710.5854 [pdf, other]

Title: Lingering random walks in random environment on a strip

Erwin Bolthausen, Ilya Goldsheid

Subjects: Probability (math.PR)

[1346] arXiv:0710.5856 [pdf, other]

Title: On reality property of Wronski maps

E.Mukhin, V.Tarasov, A.Varchenko

Comments: Latex, 20 pages

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

[1347] arXiv:0710.5859 [pdf, other]

Title: Non-commutative geometry and exactly solvable systems

Edwin Langmann

Comments: Contribution to the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France)

Journal-ref: J.Phys.Conf.Ser.103:012015,2008

Subjects: Mathematical Physics (math-ph)

[1348] arXiv:0710.5860 [pdf, other]

Title: Frobenius Manifolds as a Special Class of Submanifolds in Pseudo-Euclidean Spaces

O. I. Mokhov

Comments: 33 pages

Journal-ref: Amer. Math. Soc. Transl. (2), Vol. 224, Geometry, Topology, and Mathematical Physics. S.P.Novikov's Seminar: 2006-2007, Providence, RI: Amer. Math. Soc., 2008, 213-246.

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP); Symplectic Geometry (math.SG); Exactly Solvable and Integrable Systems (nlin.SI)

[1349] arXiv:0710.5863 [pdf, other]

Title: An elementary proof of Grothendieck's Non-vanishing Theorem

Tony J. Puthenpurakal

Comments: Title & abstract changed, some minor changes in the main body of the paper, 3 pages, To appear in Communications in Algebra

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

[1350] arXiv:0710.5868 [pdf, other]

Title: Phase Integral Approximation for coupled ODEs of the Schroedinger type

Andrzej A. Skorupski

Comments: 27 pages, RevTeX, accepted for publication in J. Math. Phys

Journal-ref: J. Math. Phys., vol. 49, 053523 (2008)

Subjects: Mathematical Physics (math-ph)