Mathematics

Authors and titles for June 2015

[2501] arXiv:1506.08295 [pdf, other]

Title: On the $L^{r}$ Hodge theory in complete non compact riemannian manifolds

Eric Amar (IMB)

Comments: I correct a mistake in the proof of lemma 5.2 and lemma 5.3. The statements have not changed so all the results remain

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

[2502] arXiv:1506.08296 [pdf, other]

Title: A note on a metric associated to certain finite groups

Marius Tărnăuceanu

Subjects: Group Theory (math.GR)

[2503] arXiv:1506.08298 [pdf, other]

Title: The number of chains of subgroups of a finite elementary abelian $p$-group

Marius Tărnăuceanu

Comments: accepted for publication in Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar

Journal-ref: Appl. Math. Phys., Politeh. Univ. Buchar., vol. 77 (2015), no. 4, 65-68

Subjects: Group Theory (math.GR)

[2504] arXiv:1506.08300 [pdf, other]

Title: A new equivalence relation to classify the fuzzy subgroups of finite groups

Marius Tărnăuceanu

Comments: accepted for publication in Fuzzy Sets and Systems

Journal-ref: Fuzzy Sets and Systems, vol. 289 (2016), 113-121

Subjects: Group Theory (math.GR)

[2505] arXiv:1506.08302 [pdf, other]

Title: Homogenization of reaction-diffusion equations in fractured porous media

Hermann Douanla, Jean Louis Woukeng

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[2506] arXiv:1506.08304 [pdf, other]

Title: A general strong law of large numbers and applications to associated sequences and to extreme value theory

Harouna Sangare, Gane Samb Lo

Comments: 23 pages

Subjects: Probability (math.PR)

[2507] arXiv:1506.08306 [pdf, other]

Title: Existence of a Stable Blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term

Slim Tayachi, Hatem Zaag

Subjects: Analysis of PDEs (math.AP)

[2508] arXiv:1506.08313 [pdf, other]

Title: Modular units from quotients of Rogers-Ramanujan type $q$-series

Hannah Larson

Subjects: Number Theory (math.NT)

[2509] arXiv:1506.08317 [pdf, other]

Title: On a counterexample related to weighted weak type estimates for singular integrals

Marcela Caldarelli, Andrei K. Lerner, Sheldy Ombrosi

Subjects: Classical Analysis and ODEs (math.CA)

[2510] arXiv:1506.08318 [pdf, other]

Title: Compressed Sensing Based Data Processing and MAC Protocol Design for Smartgrids

Le Thanh Tan, Long Bao Le

Comments: 2015 IEEE Wireless Communication and Networking Conference (IEEE WCNC 2015)

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

[2511] arXiv:1506.08320 [pdf, other]

Title: $H$-closed quasitopological groups

Serhiy Bardyla, Oleg Gutik, Alex Ravsky

Comments: 7 pages

Journal-ref: Topology and its Applications 217 (2017), 51-58

Subjects: General Topology (math.GN); Group Theory (math.GR)

[2512] arXiv:1506.08324 [pdf, other]

Title: Homotopy theory and generalized dimension subgroups

Sergei O. Ivanov, Roman Mikhailov, Jie Wu

Comments: 18 pages

Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)

[2513] arXiv:1506.08325 [pdf, other]

Title: Open quantum random walks, hitting times, gambler's ruin and potential theory

Carlos F. Lardizabal

Comments: This entire work is part of arXiv:1510.03454

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

[2514] arXiv:1506.08328 [pdf, other]

Title: Distributed MAC Protocol Design for Full-Duplex Cognitive Radio Networks

Le Thanh Tan, Long Bao Le

Comments: 2015 IEEE Global Communications Conference (IEEE GLOBECOM 2015) (accepted)

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

[2515] arXiv:1506.08331 [pdf, other]

Title: On Bounding the Union Probability Using Partial Weighted Information

Jun Yang, Fady Alajaji, Glen Takahara

Comments: Technical Report

Subjects: Probability (math.PR)

[2516] arXiv:1506.08333 [pdf, other]

Title: Product of statistical manifolds with a non-diagonal metric

Rafik Nasri, Djelloul Djebbouri

Comments: 14pg. arXiv admin note: substantial text overlap with arXiv:1501.00308

Subjects: Differential Geometry (math.DG)

[2517] arXiv:1506.08335 [pdf, other]

Title: A formula for certain Shalika germs of ramified unitary groups

Cheng-Chiang Tsai

Comments: 36 pages

Journal-ref: Compositio Math. 153 (2017) 175-213

Subjects: Representation Theory (math.RT)

[2518] arXiv:1506.08338 [pdf, other]

Title: Certificates of infeasibility via nonsmooth optimization

Hannes Fendl, Arnold Neumaier, Hermann Schichl

Comments: arXiv admin note: substantial text overlap with arXiv:1506.08021

Subjects: Optimization and Control (math.OC)

[2519] arXiv:1506.08341 [pdf, other]

Title: Systolic Surfaces of Arithmetic Hyperbolic 3-Manifolds

Benjamin Linowitz, Jeffrey S. Meyer

Subjects: Geometric Topology (math.GT); Number Theory (math.NT)

[2520] arXiv:1506.08345 [pdf, other]

Title: Color-blind index in graphs of very low degree

Jennifer Diemunsch, Nathan Graber, Lucas Kramer, Victor Larsen, Lauren M. Nelsen, Luke L. Nelsen, Devon Sigler, Derrick Stolee, Charlie Suer

Comments: 10 pages, 3 figures, and a 4 page appendix

Journal-ref: Discrete Applied Mathematics, Volume 225, 10 July 2017, Pages 122-129

Subjects: Combinatorics (math.CO)

[2521] arXiv:1506.08357 [pdf, other]

Title: An Example of non-simply connected non-liftable Calabi-Yau 3-fold in positive characteristic

Yukihide Takayama

Comments: 5 pages

Subjects: Algebraic Geometry (math.AG)

[2522] arXiv:1506.08360 [pdf, other]

Title: Optimal financing and dividend distribution in a general diffusion model with regime switching

Jinxia Zhu, Hailiang Yang

Subjects: Optimization and Control (math.OC); Portfolio Management (q-fin.PM)

[2523] arXiv:1506.08365 [pdf, other]

Title: Topological invariants for semigroups of holomorphic self-maps of the unit disc

Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal

Comments: 28 pages, final version, to appear in J. Math. Pures Appl

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[2524] arXiv:1506.08367 [pdf, other]

Title: The fundamental group of symplectic $4$-manifolds with $b^+=1$

Anar Akhmedov, Weiyi Zhang

Comments: 34 pages, 6 figures. In this version, we revised the paper according to the comments and suggestions of the reviewers. Comments are welcome

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

[2525] arXiv:1506.08369 [pdf, other]

Title: Least Energy Approximation for Processes with Stationary Increments

Zakhar Kabluchko, Mikhail Lifshits

Comments: 29 pages, 1 figure

Journal-ref: J. Theor. Probab., 2017, 30, no. 1, 268--296

Subjects: Probability (math.PR); Optimization and Control (math.OC)

[2526] arXiv:1506.08370 [pdf, other]

Title: On the Construction of Polar Codes for Channels with Moderate Input Alphabet Sizes

Ido Tal

Comments: 9 pages

Subjects: Information Theory (cs.IT)

[2527] arXiv:1506.08376 [pdf, other]

Title: A one-line undergraduate proof of Zariski's lemma and Hilbert's nullstellensatz

Alborz Azarang

Comments: 2 page

Subjects: Commutative Algebra (math.AC)

[2528] arXiv:1506.08382 [pdf, other]

Title: A combinatorial identity on Galton-Watson process

Linyuan Lu, Arthur L.B. Yang

Comments: 9 pages

Subjects: Combinatorics (math.CO)

[2529] arXiv:1506.08385 [pdf, other]

Title: Birational motives, II: Triangulated birational motives

Bruno Kahn, R. Sujatha

Comments: Compared to the initial version: previous Subsection 4.2 has been upgraded to Section 5; previous Lemmas 5.2.5 and 5.2.6 have been corrected to Proposition 6.2.5 and Lemma 6.2.6; at the referee's request, previous Appendix B and the proof of previous Proposition C.1.1 (now A.4.1) have been removed (please consult the initial version for them)

Journal-ref: International Mathematics Research Notices, Vol. 2017, No. 22, pp. 6778-6831

Subjects: Algebraic Geometry (math.AG)

[2530] arXiv:1506.08386 [pdf, other]

Title: Motifs et adjoints

Bruno Kahn

Comments: in French. Minor changes; added Th. 8.6 to justify the terminology "Tate-Safarevic motive"; its proof will be completed elsewhere

Journal-ref: Rend. Semin. Mat. Univ. Padova 139 (2018), 77-128

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

[2531] arXiv:1506.08389 [pdf, other]

Title: On fillings of homotopy equivalent contact structures

Ahmet Beyaz

Comments: 5 pages

Subjects: Geometric Topology (math.GT)

[2532] arXiv:1506.08401 [pdf, other]

Title: Vari\'et\'es de Kisin stratifi\'ees et d\'eformations potentiellement Barsotti-Tate

Xavier Caruso, Agnès David, Ariane Mézard

Comments: in French

Journal-ref: J. Inst. Math. Jussieu 17 (2018) 1019-1064

Subjects: Number Theory (math.NT)

[2533] arXiv:1506.08404 [pdf, other]

Title: Asymptotic behaviour of viscoelastic composites with almost periodic microstructures

Jean Louis Woukeng

Comments: 24 pages. Some minor changes to the previous version

Subjects: Analysis of PDEs (math.AP)

[2534] arXiv:1506.08405 [pdf, other]

Title: Tautological Integrals on Hilbert Schemes of Points on Curves

Zhilan Wang

Comments: 12 pages. Accepted by Acta Mathematica Sinica, English Series

Subjects: Algebraic Geometry (math.AG)

[2535] arXiv:1506.08406 [pdf, other]

Title: Critical surface of the 1-2 model

Geoffrey R. Grimmett, Zhongyang Li

Comments: To appear in 'International Mathematics Research Notices'

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

[2536] arXiv:1506.08412 [pdf, other]

Title: Attempts to define a Baum--Connes map via localization of categories for inverse semigroups

Bernhard Burgstaller

Comments: The last section was split up in three sections and the theory there was somewhat strengthened by providing a Baum-Connes map under unverified but motivated assumptions

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

[2537] arXiv:1506.08414 [pdf, other]

Title: Relation between spherical designs through a Hopf map

Takayuki Okuda

Comments: 14 pages

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)

[2538] arXiv:1506.08418 [pdf, other]

Title: Chow ring and BP-theory of the extraspecial 2-group of order 32

Nobuaki Yagita

Comments: 10 pages

Subjects: Algebraic Topology (math.AT)

[2539] arXiv:1506.08420 [pdf, other]

Title: Riesz Decomposition Properties and the Lexicographic Product of po-groups

Anatolij Dvurečenskij

Subjects: Rings and Algebras (math.RA)

[2540] arXiv:1506.08421 [pdf, other]

Title: Abstract sectional category in model structures on topological spaces

Marco Moraschini, Aniceto Murillo

Subjects: Algebraic Topology (math.AT)

[2541] arXiv:1506.08423 [pdf, other]

Title: Initial-to-Interface Maps for the Heat Equation on Composite Domains

Natalie E. Sheils, Bernard Deconinck

Comments: 11 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[2542] arXiv:1506.08424 [pdf, other]

Title: Almost quasi-isometries and more non-exact groups

Martin Finn-Sell

Comments: 11 pages

Subjects: Group Theory (math.GR); Metric Geometry (math.MG); Operator Algebras (math.OA)

[2543] arXiv:1506.08431 [pdf, other]

Title: The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space

David Bate, Marianna Csörnyei, Bobby Wilson

Journal-ref: Isr. J. Math. (2017) 220: 175

Subjects: Functional Analysis (math.FA)

[2544] arXiv:1506.08434 [pdf, other]

Title: Exact Fractional Revival in Spin Chains

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

Comments: 4 pages

Journal-ref: Mod. Phys. Lett. B 30, 1650315 (2016)

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

[2545] arXiv:1506.08435 [pdf, other]

Title: Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies

J. Chang, S. Karra, K. B. Nakshatrala

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE); Performance (cs.PF)

[2546] arXiv:1506.08437 [pdf, other]

Title: Supercongruences for the Almkvist-Zudilin numbers

Tewodros Amdeberhan, Roberto Tauraso

Comments: 15 pages

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

[2547] arXiv:1506.08439 [pdf, other]

Title: Calibration of L\'evy Processes using Optimal Control of Kolmogorov Equations with Periodic Boundary Conditions

Mario Annunziato, Hanno Gottschalk

Comments: 30 pages, 7 figures

Subjects: Optimization and Control (math.OC)

[2548] arXiv:1506.08447 [pdf, other]

Title: Improved lower bounds on extremal functions of multidimensional permutation matrices

Jesse Geneson

Comments: 8 pages

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

[2549] arXiv:1506.08449 [pdf, other]

Title: Smoothed corners and scattered waves

Charles L. Epstein, Michael O'Neil

Subjects: Numerical Analysis (math.NA)

[2550] arXiv:1506.08450 [pdf, other]

Title: Pointwise Convergence in Probability of General Smoothing Splines

Matthew Thorpe, Adam M. Johansen

Subjects: Statistics Theory (math.ST)