Mathematics

Authors and titles for January 2010

[801] arXiv:1001.2634 [pdf, other]

Title: Optimal combination of data modes in inverse problems: maximum compatibility estimate

Mikko Kaasalainen

Comments: ISAAC 2009 (London) conference proceedings

Journal-ref: Proceedings of ISAAC 2009, World Scientific, eds. Ruzhansky and Wirth, p. 365 (2010)

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[802] arXiv:1001.2637 [pdf, other]

Title: Tensor triangular geometry and KK-theory

Ivo Dell'Ambrogio

Comments: 33 pages, updated some references as in published version

Journal-ref: J. Homotopy Relat. Struct., vol. 5(1), 2010, pp.319-358

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

[803] arXiv:1001.2638 [pdf, other]

Title: Elementary Trigonometric Sums related to Quadratic Residues

A. Laradji, M. Mignotte, N. Tzanakis

Comments: A number of misprints have been corrected and one or two improvements have been done to the previous version of the paper with same title. The paper will appear to Elem. der Math

Subjects: Number Theory (math.NT)

[804] arXiv:1001.2645 [pdf, other]

Title: Quantum affine Knizhnik-Zamolodchikov equations and quantum spherical functions, I

Jasper V. Stokman

Comments: 47 pages

Subjects: Quantum Algebra (math.QA)

[805] arXiv:1001.2647 [pdf, other]

Title: A General Euclidean Geometric Representation for the Classical Detection Theory

Muhammet Fatih Bayramoglu, Ali Ozgur Yilmaz

Comments: 5 pages, 3 figures, submitted to ISIT 2010

Subjects: Information Theory (cs.IT)

[806] arXiv:1001.2653 [pdf, other]

Title: Two examples about zero torsion linear maps on Lie algebras

L. Magnin

Comments: 13 pages

Subjects: Rings and Algebras (math.RA)

[807] arXiv:1001.2655 [pdf, other]

Title: Twisted torus knots T(p,q,3,s) are tunnel number one

Jung Hoon Lee

Comments: 3 pages, 1 figure

Subjects: Geometric Topology (math.GT)

[808] arXiv:1001.2660 [pdf, other]

Title: Jacobian Elliptic Functions, Continued Fractions and Ramanujan Quantities

Nikos Bagis, M.L. Glasser

Comments: 12 pages

Subjects: General Mathematics (math.GM)

[809] arXiv:1001.2662 [pdf, other]

Title: Channel Polarization on q-ary Discrete Memoryless Channels by Arbitrary Kernels

Ryuhei Mori, Toshiyuki Tanaka

Comments: 5 pages, a final version of a manuscript for ISIT2010

Subjects: Information Theory (cs.IT)

[810] arXiv:1001.2672 [pdf, other]

Title: Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model

A.A.Ovchinnikov

Comments: 7 pages, LaTex

Journal-ref: Phys.Lett.A374:1311-1314,2010

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[811] arXiv:1001.2676 [pdf, other]

Title: A de Rham theorem with respect to the Liouville foliation on TM^0, for a Finsler manifold M

Adelina Manea

Subjects: Differential Geometry (math.DG)

[812] arXiv:1001.2677 [pdf, other]

Title: Periodic magnetic geodesics on almost every energy level via variational methods

I.A. Taimanov

Comments: 11 pages

Journal-ref: Regular and Chaotic Dynamics 15 (2010), 598-605

Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS)

[813] arXiv:1001.2680 [pdf, other]

Title: Representations and the colored Jones polynomial of a torus knot

Kazuhiro Hikami, Hitoshi Murakami

Comments: 18 pages, 1 figure, submitted to the Proceedings of the workshop "Chern-Simons Gauge Theory: 20 Years After"

Subjects: Geometric Topology (math.GT)

[814] arXiv:1001.2686 [pdf, other]

Title: Effective complexity of stationary process realizations

Nihat Ay, Markus Mueller, Arleta Szkola

Comments: 14 pages, no figures

Subjects: Information Theory (cs.IT)

[815] arXiv:1001.2694 [pdf, other]

Title: On a problem in simultaneous Diophantine approximation: Schmidt's conjecture

Dzmitry Badziahin, Andrew Pollington, Sanju Velani

Comments: 43 pages, 1 figure. A relatively minor mistake at the beginning of Section 4 (Proof of Theorem 3) that deals with the situation of parallel lines is corrected.

Subjects: Number Theory (math.NT)

[816] arXiv:1001.2696 [pdf, other]

Title: Some remarks on symmetric linear functions and pseudotrace maps

Yusuke Arike

Comments: 12 pages

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[817] arXiv:1001.2715 [pdf, other]

Title: A Causal Construction of Diffusion Processes

Tadeusz Banek

Comments: 9 pages

Subjects: Probability (math.PR)

[818] arXiv:1001.2719 [pdf, other]

Title: Curves on K3 surfaces and modular forms

D. Maulik, R. Pandharipande, R. P. Thomas

Comments: An incorrect example in Appendix A, pointed out to us by Dominic Joyce, has been replaced by a reference to a new paper arXiv:1204.3958 containing a corrected example

Journal-ref: J.Topol.3:937-996,2010

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

[819] arXiv:1001.2721 [pdf, other]

Title: Steinitz classes of some abelian and nonabelian extensions of even degree

Alessandro Cobbe

Journal-ref: Journal de Th\'eorie des Nombres de Bordeaux, tome 22, num\'ero 3, 2010, pages 607-628

Subjects: Number Theory (math.NT)

[820] arXiv:1001.2722 [pdf, other]

Title: A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String

Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres

Comments: Accepted for publication in the Journal of Mathematical Physics (14/January/2010)

Journal-ref: J. Math. Phys. 51 (2010), no. 3, 033503, 12pp

Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph)

[821] arXiv:1001.2728 [pdf, other]

Title: Burghelea-Haller analytic torsion for twisted de Rham complexes

Guangxiang Su

Comments: 14 pages

Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)

[822] arXiv:1001.2738 [pdf, other]

Title: Note on sampling without replacing from a finite collection of matrices

David Gross, Vincent Nesme

Comments: 3 pages. Answers a question raised in arXiv:0910.1879. v2: minus one typo.

Subjects: Information Theory (cs.IT); Quantum Physics (quant-ph)

[823] arXiv:1001.2744 [pdf, other]

Title: MLD Relations of Pisot Substitution Tilings

Franz Gähler

Comments: Presented at Aperiodic'09 (Liverpool)

Journal-ref: Journal of Physics: Conference Series 226 (2010) 012020

Subjects: Dynamical Systems (math.DS)

[824] arXiv:1001.2751 [pdf, other]

Title: A Milstein scheme for SPDEs

Arnulf Jentzen, Michael Roeckner

Comments: The article is slightly revised and shortened. In particular, some numerical simulations are removed

Journal-ref: J. Differential Equations 252 (2012), no. 1, 114-136

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Probability (math.PR)

[825] arXiv:1001.2755 [pdf, other]

Title: Operator algebras from the discrete Heisenberg semigroup

M. Anoussis, A. Katavolos, I. G. Todorov

Journal-ref: Proceedings of the Edinburgh Mathematical Society (2012) 55, 1-22

Subjects: Operator Algebras (math.OA)

[826] arXiv:1001.2756 [pdf, other]

Title: Quantitative Version of the Oppenheim Conjecture for Inhomogeneous Quadratic Forms

G. A. Margulis, A. Mohammadi

Journal-ref: Duke Math. J. 158, no. 1 (2011), 121-160

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

[827] arXiv:1001.2759 [pdf, other]

Title: Rigidity of noncompact complete Bach-flat manifolds

Seongtag Kim

Comments: 10 pages, To appear J. Geom. Physics

Journal-ref: J. Geometry and Physics, 2010, Vol 60, p 637-642

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc)

[828] arXiv:1001.2764 [pdf, other]

Title: Double Affine Hecke Algebras of Rank 1 and the $Z_3$-Symmetric Askey-Wilson Relations

Tatsuro Ito, Paul Terwilliger

Journal-ref: SIGMA 6 (2010), 065, 9 pages

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[829] arXiv:1001.2766 [pdf, other]

Title: On the scaling of Polar codes: I. The behavior of polarized channels

S. Hamed Hassani, Rudiger Urbanke

Comments: Submitted to ISIT 2010

Subjects: Information Theory (cs.IT)

[830] arXiv:1001.2773 [pdf, other]

Title: Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin--Shtrikman type

Graeme W. Milton, John R. Willis

Comments: 23 pages 0 figures

Subjects: Mathematical Physics (math-ph)

[831] arXiv:1001.2774 [pdf, other]

Title: A tropical proof of the Brill-Noether Theorem

Filip Cools, Jan Draisma, Sam Payne, Elina Robeva

Comments: 17 pages, 5 figures; v3: added a new Section 3, detailing how the classical Brill-Noether theorem for algebraic curves follows from Theorem 1.1. Update references, minor expository improvements

Journal-ref: Adv. Math. 230 (2012), 759--776

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

[832] arXiv:1001.2777 [pdf, other]

Title: Equivelar and d-Covered Triangulations of Surfaces. I

Frank H. Lutz, Thom Sulanke, Anand K. Tiwari, Ashish K. Upadhyay

Comments: 21 pages, 4 figures

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT)

[833] arXiv:1001.2779 [pdf, other]

Title: Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations

Frank H. Lutz

Comments: 27 pages, 18 figures

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT)

[834] arXiv:1001.2781 [pdf, other]

Title: Interaction Strictly Improves the Wyner-Ziv Rate-distortion function

Nan Ma, Prakash Ishwar

Comments: 5 pages, submitted to IEEE International Symposium on Information Theory (ISIT) 2010

Subjects: Information Theory (cs.IT)

[835] arXiv:1001.2782 [pdf, other]

Title: R-positivity of matrices and Hamiltonians on nearest neighbors trajectories

Jorge Littin, Servet Martinez

Subjects: Probability (math.PR)

[836] arXiv:1001.2786 [pdf, other]

Title: A General Coding Scheme for Two-User Fading Interference Channels

Lalitha Sankar, Elza Erkip, H. Vincent Poor

Subjects: Information Theory (cs.IT)

[837] arXiv:1001.2789 [pdf, other]

Title: On radial and conical Fourier multipliers

Yaryong Heo, Fedor Nazarov, Andreas Seeger

Journal-ref: Journal of Geometric Analysis, Vol 21 (2011), issue 1, 96-117

Subjects: Classical Analysis and ODEs (math.CA)

[838] arXiv:1001.2792 [pdf, other]

Title: A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect

Alicia Dickenstein, Benjamin Nill

Comments: 12 pages

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

[839] arXiv:1001.2793 [pdf, other]

Title: Minimal F{\o}lner foliations are amenable

Fernando Alcalde Cuesta, Ana Rechtman

Subjects: Dynamical Systems (math.DS); Functional Analysis (math.FA)

[840] arXiv:1001.2802 [pdf, other]

Title: Some properties on $G$-evaluation and its applications to $G$-martingale decomposition

Yongsheng Song

Comments: 22 pages

Subjects: Probability (math.PR)

[841] arXiv:1001.2805 [pdf, other]

Title: Source Coding With Side Information Using List Decoding

Mortuza Ali, Margreta Kuijper

Subjects: Information Theory (cs.IT)

[842] arXiv:1001.2806 [pdf, other]

Title: MIMO Gaussian Broadcast Channels with Confidential and Common Messages

Ruoheng Liu, Tie Liu, H. Vincent Poor, Shlomo Shamai (Shitz)

Comments: Submitted to 2010 IEEE International Symposium on Information Theory, Austin, Texas

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

[843] arXiv:1001.2812 [pdf, other]

Title: Face rings of simplicial complexes with singularities

Ezra Miller, Isabella Novik, Ed Swartz

Comments: 17 pages, no figures; this paper subsumes arXiv:0908.1433, placing it in wider contexts of commutative algebra and projective algebraic geometry

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

[844] arXiv:1001.2815 [pdf, other]

Title: Geometry of tropical moduli spaces and linkage of graphs

Lucia Caporaso

Comments: Final version incorporating the referees corrections

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

[845] arXiv:1001.2819 [pdf, other]

Title: Forcing properties of ideals of closed sets

Marcin Sabok, Jindrich Zapletal

Subjects: Logic (math.LO)

[846] arXiv:1001.2820 [pdf, other]

Title: The optimal control related to Riemannian manifolds and the viscosity solutions to H-J-B equations

Xuehong Zhu

Comments: 18 pages

Subjects: Probability (math.PR)

[847] arXiv:1001.2821 [pdf, other]

Title: Integral conditions in the theory of the Beltrami equations

V. Ryazanov, U. Srebro, E. Yakubov

Comments: 26 pages, especially see Introduction and Sections 5 and 6, Lemma 5.4

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

[848] arXiv:1001.2822 [pdf, other]

Title: On some cconjectures about the Chern numbers of filtrations

Mousumi Mandal, Balwant Singh, J. K. Verma

Comments: 20 pages

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

[849] arXiv:1001.2824 [pdf, other]

Title: On the homology of the dual de Rham complex

Roman Mikhailov

Comments: 11 pages

Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

[850] arXiv:1001.2826 [pdf, other]

Title: Quantum stochastic differential equations and continuous measurements: unbounded coefficients

Ricardo Castro Santis, Alberto Barchielli

Comments: 28 pages

Journal-ref: Rep. Math. Phys. 67 (2011) 229-254

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