Mathematics

Authors and titles for December 2009

[1301] arXiv:0912.5403 [pdf, other]

Title: q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))

R.M. Asherova, Č. Burdík, M. Havlíček, Yu.F. Smirnov, V.N. Tolstoy

Comments: Invited talk given by V.N.T. at XVIII International Colloquium "Integrable Systems and Quantum Symmetries", June 18--20, 2009, Prague, Czech Republic

Journal-ref: SIGMA 6 (2010), 010, 13 pages

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

[1302] arXiv:0912.5405 [pdf, other]

Title: Complete 4-manifolds with uniformly positive isotropic curvature

Hong Huang

Comments: The paper has been withdrawn by the author since it will be incorporated in the newest version of arXiv:1107.1469

Subjects: Differential Geometry (math.DG)

[1303] arXiv:0912.5408 [pdf, other]

Title: Homogenization of singular integrals in W^{1,\infty}

Omar Anza Hafsa, Jean-Philippe Mandallena

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[1304] arXiv:0912.5413 [pdf, other]

Title: Dynamique p-adique (d'apr\`es des expos\'es de Jean-Christophe Yoccoz)

Serge Cantat, Antoine Chambert-Loir

Comments: 47 pages, in French. To appear in États de la recherche 2006, Panoramas et synthèses, vol. 30, SMF, 2010

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

[1305] arXiv:0912.5419 [pdf, other]

Title: Breakdown of Normal Hyperbolicity for a Family of Invariant Manifolds with Generalized Lyapunov-Type Numbers Uniformly Bounded below Their Critical Values

Dennis Guang Yang

Comments: 13 pages, 6 figures, pdfLaTeX

Subjects: Dynamical Systems (math.DS)

[1306] arXiv:0912.5434 [pdf, other]

Title: A Complete Theory of Everything (will be subjective)

Marcus Hutter

Comments: 26 LaTeX pages

Journal-ref: Algorithms 3:329-350,2010

Subjects: Information Theory (cs.IT); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Popular Physics (physics.pop-ph)

[1307] arXiv:0912.5438 [pdf, other]

Title: Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories

Thomas Krajewski, Vincent Rivasseau, Fabien Vignes-Tourneret

Comments: 58 pages, 23 figures, correction in the references and addition of preprint numbers

Subjects: Mathematical Physics (math-ph)

[1308] arXiv:0912.5441 [pdf, other]

Title: Special set linear algebra and special set fuzzy linear algebra

W.B.Vasantha Kandasamy, Florentin Smarandache, K.Ilanthenral

Comments: 467 pages

Subjects: General Mathematics (math.GM)

[1309] arXiv:0912.5444 [pdf, other]

Title: Asymptotic mean density of sub-unitary ensemble

E.Bogomolny

Subjects: Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD)

[1310] arXiv:0912.5447 [pdf, other]

Title: Properties of the Exceptional ($X_{\ell}$) Laguerre and Jacobi Polynomials

Choon-Lin Ho, Satoru Odake, Ryu Sasaki

Journal-ref: SIGMA 7 (2011), 107, 24 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA); Exactly Solvable and Integrable Systems (nlin.SI)

[1311] arXiv:0912.5453 [pdf, other]

Title: On the number of n-ary quasigroups of finite order

Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia), Vladimir Potapov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

Comments: english 9pp, russian 9pp. v.2: corrected: initial data for recursion; added: Appendix with program

Journal-ref: English: Discrete Math. Appl. 21(5-6) 2011, 575-585; Russian: Diskretn. Mat. 24(1) 2012, 60-69

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

[1312] arXiv:0912.5458 [pdf, other]

Title: Combinatorics and topology of toric arrangements defined by root systems

Luca Moci

Comments: 20 pages. Updated version of a paper published in December 2008

Journal-ref: L. Moci, Combinatorics and topology of toric arrangements defined by root systems, Rend. Lincei Mat. Appl. 19 (2008), 293-308

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

[1313] arXiv:0912.5461 [pdf, other]

Title: Wonderful models for toric arrangements

Luca Moci

Comments: Final version, to appear on IMRN. 23 pages, 1 picture

Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)

[1314] arXiv:0912.5464 [pdf, other]

Title: Finite dimensional attractor for a composite system of wave/plate equations with localised damping

Francesca Bucci, Daniel Toundykov

Comments: 40 pages, 1 figure; v2: added references for Section 1, submitted

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP)

[1315] arXiv:0912.5469 [pdf, other]

Title: A class of compact subsets for non-sober topological spaces

Paul Poncet

Comments: 6 pages

Subjects: General Topology (math.GN)

[1316] arXiv:0912.5471 [pdf, other]

Title: Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds

Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau

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

[1317] arXiv:0912.5472 [pdf, other]

Title: Weyl homogeneous manifolds modeled on compact Lie groups

Y. Nikolayevsky

Comments: 9 pages

Subjects: Differential Geometry (math.DG)

[1318] arXiv:0912.5477 [pdf, other]

Title: Note on multiple q-zeta functions

T. Kim

Comments: 8 pages

Subjects: Number Theory (math.NT)

[1319] arXiv:0912.5478 [pdf, other]

Title: Cubical realizations of flag nestohedra and Gal's conjecture

Vadim Volodin

Comments: 9 pages, 1 figure

Subjects: Combinatorics (math.CO)

[1320] arXiv:0912.5484 [pdf, other]

Title: Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals

Serguei Barannikov

Comments: The paper submited to the "Comptes rendus" of the French Academy of Science on May,17,2009; presented for publication by Academy member this http URL on May,20,2009

Journal-ref: Comptes Rendus Mathematique,vol 348 (2010), pp. 359-362

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

[1321] arXiv:0912.5489 [pdf, other]

Title: On multivariate quantiles under partial orders

Alexandre Belloni, Robert L. Winkler

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 2011, Vol. 39, No. 2, 1125-1179

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

[1322] arXiv:0912.5492 [pdf, other]

Title: On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type

O. I. Mokhov

Comments: 20 pages

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Symplectic Geometry (math.SG); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[1323] arXiv:0912.5501 [pdf, other]

Title: The number of points on an elliptic curve with square x-coordinates

Yu Tsumura

Comments: 2 pages, this result generalizes my old paper posted 30 Dec 2009. Comments are welcome

Subjects: Number Theory (math.NT)

[1324] arXiv:0912.5504 [pdf, other]

Title: Additive properties of even perfect numbers

Yu Tsumura

Comments: 3 pages

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

[1325] arXiv:0912.5512 [pdf, other]

Title: Functional limit theorems for linear processes in the domain of attraction of stable laws

Marta Tyran-Kaminska

Comments: 8 pages. Main result revised

Journal-ref: Statistics and Probability Letters 80 (2010) 975-981

Subjects: Probability (math.PR)

[1326] arXiv:0912.5518 [pdf, other]

Title: Optimal minimax strategy in a dice game

Fabian Crocce, Ernesto Mordecki

Comments: 14 pages

Subjects: Probability (math.PR); Computer Science and Game Theory (cs.GT); Optimization and Control (math.OC)

[1327] arXiv:0912.5519 [pdf, other]

Title: Convergent sequences of closed minimal surfaces embedded in $\S3$

Fernando A. A. Pimentel

Comments: 19 pages, typo in Lemma B.1 corrected, statement in Remark 4.1 rephrased, proof of Theorem 2.2 enhanced, additional commentary in final remarks

Subjects: Differential Geometry (math.DG)

[1328] arXiv:0912.5520 [pdf, other]

Title: Exact solution for mean energy of 2d Dyson gas at beta = 1

Sh. Shakirov

Comments: 10 pages, 1 figure

Journal-ref: Phys.Lett.A375:984-989,2011

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[1329] arXiv:0912.5523 [pdf, other]

Title: Uniformity of the uncovered set of random walk and cutoff for lamplighter chains

Jason Miller, Yuval Peres

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 2012, Vol. 40, No. 2, 535-577

Subjects: Probability (math.PR)

[1330] arXiv:0912.5524 [pdf, other]

Title: The Cardinality of Infinite Games

Thomas Kellam Meyer

Subjects: Category Theory (math.CT); Computer Science and Game Theory (cs.GT); Combinatorics (math.CO)

[1331] arXiv:0912.5528 [pdf, other]

Title: A Planar Linear Arboricity Conjecture

Marek Cygan, Lukasz Kowalik, Borut Luzar

Subjects: Combinatorics (math.CO)

[1332] arXiv:0912.0160 (cross-list from physics.optics) [pdf, other]

Title: Tessellated and stellated invisibility

Andre Diatta, Andre Nicolet, Sebastien Guenneau, Frederic Zolla

Journal-ref: Optics Express 17 (2009), no. 16, 13389--13394

Subjects: Optics (physics.optics); Mathematical Physics (math-ph)

[1333] arXiv:0912.0200 (cross-list from hep-th) [pdf, other]

Title: Curing the UV/IR mixing for field theories with translation-invariant $\star$ products

Adrian Tanasa, Patrizia Vitale

Comments: 21 pages, 7 figures; discussion for the Minkowskian case added; version accepted for publication in Phys. Rev. D

Journal-ref: Phys.Rev.D81:065008,2010

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1334] arXiv:0912.0209 (cross-list from hep-th) [pdf, other]

Title: On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra

Gleb Arutyunov, Marius de Leeuw, Alessandro Torrielli

Comments: Version accepted for publication in JHEP

Journal-ref: JHEP 1006:033,2010

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

[1335] arXiv:0912.0220 (cross-list from hep-th) [pdf, other]

Title: Spectral dimension of a quantum universe

Leonardo Modesto, Piero Nicolini

Comments: 5 pages, 1 figure, references added, typos corrected, title changed, final version published in Physical Review D

Journal-ref: Phys.Rev.D81:104040,2010

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[1336] arXiv:0912.0229 (cross-list from cs.DS) [pdf, other]

Title: Approximate Sparse Recovery: Optimizing Time and Measurements

Anna C. Gilbert, Yi Li, Ely Porat, Martin J. Strauss

Journal-ref: SIAM J. Comput. 41(2), pp. 436-453, 2012

Subjects: Data Structures and Algorithms (cs.DS); Information Theory (cs.IT)

[1337] arXiv:0912.0271 (cross-list from physics.optics) [pdf, other]

Title: Focusing: coming to the point in metamaterials

Sebastien Guenneau, Andre Diatta, Ross McPhedran

Comments: Version 2: 22 pages, 11 figures. More figures added, additional cases discussed. Misprints corrected. Keywords: Maxwell fisheye, Eaton lens; Non-Euclidean geometry; Stereographic projection; Transformation optics; Metamaterials; Perfect lens. The last version appears at J. Modern Opt. 57 (2010), no. 7, 511-527

Journal-ref: J. Modern Opt. 57 (2010), no. 7, 511-527

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

[1338] arXiv:0912.0372 (cross-list from q-fin.CP) [pdf, other]

Title: Variance Optimal Hedging for continuous time processes with independent increments and applications

Stéphane Goutte (LAGA, OPTEA), Nadia Oudjane (LAGA), Francesco Russo (LAGA, MathFi, CERMICS)

Subjects: Computational Finance (q-fin.CP); Probability (math.PR); Pricing of Securities (q-fin.PR)

[1339] arXiv:0912.0427 (cross-list from hep-th) [pdf, other]

Title: A bijection between paths for the M(p,2p+1) minimal model Virasoro characters

Olivier Blondeau-Fournier, Pierre Mathieu, Trevor Welsh

Comments: 20 pages

Journal-ref: Annales Henri Poincare 11:101-125,2010

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1340] arXiv:0912.0537 (cross-list from cs.CG) [pdf, other]

Title: Steinitz Theorems for Orthogonal Polyhedra

David Eppstein, Elena Mumford

Comments: 48 pages, 31 figures

Journal-ref: J. Computational Geometry 5 (1): 179-244, 2014

Subjects: Computational Geometry (cs.CG); Combinatorics (math.CO)

[1341] arXiv:0912.0597 (cross-list from cs.CR) [pdf, other]

Title: Constructing Optimal Authentication Codes with Perfect Multi-fold Secrecy

Michael Huber

Comments: 4 pages (double-column); to appear in Proc. 2010 International Zurich Seminar on Communications (IZS 2010, Zurich)

Subjects: Cryptography and Security (cs.CR); Information Theory (cs.IT)

[1342] arXiv:0912.0599 (cross-list from cs.NI) [pdf, other]

Title: Conceptual Model for Communication

Sabah Al Fedaghi, Alaa Alsaqa, Zahraa Fadel

Comments: 13 pages IEEE format, International Journal of Computer Science and Information Security, IJCSIS November 2009, ISSN 1947 5500, this http URL

Journal-ref: International Journal of Computer Science and Information Security, IJCSIS, Vol. 6, No. 2, pp. 029-041, November 2009, USA

Subjects: Networking and Internet Architecture (cs.NI); Information Theory (cs.IT)

[1343] arXiv:0912.0631 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Random Convex Hulls and Extreme Value Statistics

Satya N. Majumdar, Alain Comtet, Julien Randon-Furling

Comments: 61 pages (pedagogical review); invited contribution to the special issue of J. Stat. Phys. celebrating the 50 years of Yeshiba/Rutgers meetings

Journal-ref: J. Stat. Phys, 138, 955 (2010)

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

[1344] arXiv:0912.0704 (cross-list from hep-th) [pdf, other]

Title: Twist Deformations of the Supersymmetric Quantum Mechanics

P. G. Castro, B. Chakraborty, Z. Kuznetsova, F. Toppan

Comments: 18 pages; two references added

Journal-ref: Central Eur.J.Phys.9:841-851,2011

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1345] arXiv:0912.0718 (cross-list from hep-th) [pdf, other]

Title: Nonrelativistic Chern-Simons Vortices on the Torus

Nikolas Akerblom, Gunther Cornelissen, Gerben Stavenga, Jan-Willem van Holten

Comments: 25 pages, 2+3 figures; improved exposition, corrected typos, added one reference

Journal-ref: J.Math.Phys.52:072901,2011

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Number Theory (math.NT)

[1346] arXiv:0912.0737 (cross-list from hep-th) [pdf, other]

Title: Crystal melting on toric surfaces

Michele Cirafici, Amir-Kian Kashani-Poor, Richard J. Szabo

Comments: 30 pages; v2: references added

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

[1347] arXiv:0912.0766 (cross-list from physics.data-an) [pdf, other]

Title: Approximate reconstruction of bandlimited functions for the integrate and fire sampler

Hans G. Feichtinger, José C. Príncipe, José Luis Romero, Alexander Singh Alvarado, Gino Angelo Velasco

Comments: 12 pages, 7 figures

Journal-ref: Adv. Comput. Math. 36 (2012), no. 1, 67-78

Subjects: Data Analysis, Statistics and Probability (physics.data-an); Functional Analysis (math.FA)

[1348] arXiv:0912.0837 (cross-list from quant-ph) [pdf, other]

Title: Quantum communication through a spin chain with interaction determined by a Jacobi matrix

R. Chakrabarti, J. Van der Jeugt

Journal-ref: J. Phys. A 43 (8) 085302 (2010)

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)

[1349] arXiv:0912.0874 (cross-list from stat.ML) [pdf, other]

Title: Qualitative Robustness of Support Vector Machines

Robert Hable, Andreas Christmann (University of Bayreuth)

Subjects: Machine Learning (stat.ML); Statistics Theory (math.ST)

[1350] arXiv:0912.0878 (cross-list from cs.DM) [pdf, other]

Title: Nullity Invariance for Pivot and the Interlace Polynomial

Robert Brijder, Hendrik Jan Hoogeboom

Comments: small revision of Section 8 w.r.t. v2, 14 pages, 6 figures

Journal-ref: Linear Algebra and its Applications, v. 435, 277-288, 2011

Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)