Mathematics

Authors and titles for December 2014

[1901] arXiv:1412.6894 [pdf, other]

Title: On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field

Fumiya Amano, Yasushi Mizusawa, Masanori Morishita

Comments: 42 pages. The previous version entitled "Arithmetic Milnor invariants and multiple power residue symbols in number fields" by F. Amano and M. Morishita contained some mistakes concerning Theorem 2.8. This is a new version for the Eisenstein number field, which revises largely the previous one, with the collaboration of Y. Mizusawa. To appear in Research in Number Theory

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

[1902] arXiv:1412.6897 [pdf, other]

Title: Local spectral asymptotics for metric perturbations of the Landau Hamiltonian

Tomás Lungenstrass, Georgi Raikov

Comments: 30 pages, typos corrected, text format modified

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[1903] arXiv:1412.6899 [pdf, other]

Title: Some generalizations of Preprojective algebras and their properties

Dennis Presotto, Louis de Thanhoffer de Völcsey

Comments: 28 pages; new in this version: the rank of the center is known and it is proven that the center is compatible with base change

Subjects: Rings and Algebras (math.RA)

[1904] arXiv:1412.6900 [pdf, other]

Title: Irreducible Representations of Bost-Connes systems

Takuya Takeishi

Comments: 15 pages. I rewrote Introduction, and I changed section numbers. I corrected several mistakes and did some minor changes

Subjects: Operator Algebras (math.OA); Number Theory (math.NT)

[1905] arXiv:1412.6902 [pdf, other]

Title: Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold

Selcen Yüksel Perktaş, Erol Kılıç, Mukut Mani Tripathi

Subjects: Differential Geometry (math.DG)

[1906] arXiv:1412.6904 [pdf, other]

Title: The automorphism groups of certain singular K3 surfaces and an Enriques surface

Ichiro Shimada

Comments: 41 pages, 1 figure, typos are corrected, references are updated

Subjects: Algebraic Geometry (math.AG)

[1907] arXiv:1412.6905 [pdf, other]

Title: Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields

Xin Zhang, Yuan-Yuan Li, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang

Comments: 24 pages, no figure, published version

Journal-ref: Nuclear Physics B 893 (2015) 70 - 88

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)

[1908] arXiv:1412.6906 [pdf, other]

Title: Generalized Legendre curves and Quaternionic Multiplication

Alyson Deines, Jenny G. Fuselier, Ling Long, Holly Swisher, Fang-Ting Tu

Subjects: Number Theory (math.NT)

[1909] arXiv:1412.6908 [pdf, other]

Title: On the intersection of subgroups in free groups: echelon subgroups are inert

Amnon Rosenmann

Subjects: Group Theory (math.GR)

[1910] arXiv:1412.6909 [pdf, other]

Title: The matching energy of random graphs

Xiaolin Chen, Xueliang Li, Huishu Lian

Comments: 14 pages

Subjects: Combinatorics (math.CO)

[1911] arXiv:1412.6911 [pdf, other]

Title: Local convergence of large critical multi-type Galton-Watson trees and applications to random maps

Robin Stephenson

Comments: Corrected typoes, and a new proof of Lemma 4.7

Subjects: Probability (math.PR)

[1912] arXiv:1412.6912 [pdf, other]

Title: Coordinated Hybrid Automatic Repeat Request; Extended Version

Behrooz Makki, Tommy Svensson, Thomas Eriksson, Mohamed-Slim Alouini

Journal-ref: IEEE Communications Letters, vol. 18, no. 11, pp-1975-1978, Nov. 2014

Subjects: Information Theory (cs.IT)

[1913] arXiv:1412.6917 [pdf, other]

Title: Pseudo-Frobenius graded algebras with enough idempotents

Estefanía Andreu Juan, Manuel Saorín

Comments: 24 pages. arXiv admin note: substantial text overlap with arXiv:1304.0586

Subjects: Representation Theory (math.RT)

[1914] arXiv:1412.6923 [pdf, other]

Title: On Lie algebra weight systems for 3-graphs

Alexander Schrijver

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

[1915] arXiv:1412.6928 [pdf, other]

Title: On the weakest version of distributional chaos

Jana Hantáková, Samuel Roth, Zuzana Roth

Subjects: Dynamical Systems (math.DS)

[1916] arXiv:1412.6930 [pdf, other]

Title: On General Closure Operators and Quasi Factorization Structures

S. Sh. Mousavi, S. N. Hosseini, A. Ilaghi-Hosseini

Comments: 21 pages

Subjects: Category Theory (math.CT)

[1917] arXiv:1412.6932 [pdf, other]

Title: Connection matrices and Lie algebra weight systems for multiloop chord diagrams

Alexander Schrijver

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

[1918] arXiv:1412.6946 [pdf, other]

Title: Probability Estimates for Fading and Wiretap Channels from Ideal Class Zeta Functions

David Karpuk, Anne-Maria Ernvall-Hytönen, Camilla Hollanti, Emanuele Viterbo

Comments: 24 pages. Extends our earlier arxiv submission arxiv.1303.3475

Subjects: Information Theory (cs.IT); Number Theory (math.NT)

[1919] arXiv:1412.6958 [pdf, other]

Title: Global Stabilization of Triangulated Formations

Xudong Chen, M.-A. Belabbas, Tamer Başar

Subjects: Dynamical Systems (math.DS)

[1920] arXiv:1412.6961 [pdf, other]

Title: Transmission Expansion Planning Considering Energy Storage

Cameron A. G. MacRae, Melih Ozlen, Andreas T. Ernst

Subjects: Optimization and Control (math.OC)

[1921] arXiv:1412.6962 [pdf, other]

Title: On the Fourier expansion of Bloch-Okounkov

Kathrin Bringmann, Antun Milas

Comments: comments are very welcome

Subjects: Number Theory (math.NT)

[1922] arXiv:1412.6964 [pdf, other]

Title: Non Jordan groups of diffeomorphisms and actions of compact Lie groups on manifolds

Ignasi Mundet-i-Riera

Comments: 14 pages

Subjects: Differential Geometry (math.DG); Group Theory (math.GR)

[1923] arXiv:1412.6967 [pdf, other]

Title: Lie and conditional symmetries of a class of nonlinear (1+2)-dimensional boundary value problems

Roman Cherniha, John R King

Comments: 25 pages; the main results were presented at the Conference Symmetry, Methods, Applications and Related Fields, Vancouver, Canada, May 13-16, 2014

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[1924] arXiv:1412.6968 [pdf, other]

Title: A trace for bimodule categories

Jurgen Fuchs, Gregor Schaumann, Christoph Schweigert

Comments: 49 pages; typos corrected

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

[1925] arXiv:1412.6969 [pdf, other]

Title: Order of zeta functions for compact odd-dimensional locally symmetric spaces

Muharem Avdispahic, Dzenan Gusic

Subjects: Number Theory (math.NT)

[1926] arXiv:1412.6970 [pdf, other]

Title: Conneted sum of representations of knot groups

Jinseok Cho

Comments: After the publication of this article, serious errors were found. The author wanted to preserve the content of the publication, so he added the errata in the appendix

Journal-ref: J. Knot Theory Ramifications, 24(3):1550020 (18 pages), 2015

Subjects: Geometric Topology (math.GT)

[1927] arXiv:1412.6971 [pdf, other]

Title: Biregular graphs with three eigenvalues

Xi-Ming Cheng, Alexander L. Gavrilyuk, Gary R. W. Greaves, Jack H. Koolen

Comments: 28 pages

Journal-ref: European J. Combin. 56 (2016), pp. 57--80

Subjects: Combinatorics (math.CO)

[1928] arXiv:1412.6978 [pdf, other]

Title: Orbit parametrizations of theta characteristics on hypersurfaces over arbitrary fields

Yasuhiro Ishitsuka

Comments: 35 pages

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

[1929] arXiv:1412.6979 [pdf, other]

Title: Multi-scale metastable dynamics and the asymptotic stationary distribution of perturbed Markov chains

Volker Betz, Stéphane Le Roux

Comments: 26 pages, 1 figure

Subjects: Probability (math.PR)

[1930] arXiv:1412.6984 [pdf, other]

Title: A counterexample to a conjecture of Ghosh

Hung Hua, Elliot Krop, Christopher Raridan

Comments: 4 pages

Subjects: Combinatorics (math.CO)

[1931] arXiv:1412.6985 [pdf, other]

Title: Coloring graphs using topology

Oliver Knill

Comments: 81 pages, 48 figures

Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG); Discrete Mathematics (cs.DM); Geometric Topology (math.GT)

[1932] arXiv:1412.6988 [pdf, other]

Title: Universal test for Hippocratic randomness

Hayato Takahashi

Comments: Submitted to Information Processing Letters

Subjects: Information Theory (cs.IT)

[1933] arXiv:1412.6994 [pdf, other]

Title: Topics on mathematical crystallography

Toshikazu Sunada

Subjects: Metric Geometry (math.MG); History and Overview (math.HO)

[1934] arXiv:1412.7000 [pdf, other]

Title: Braids, conformal module and entropy

Burglind Jöricke

Comments: 384 pages, 35 figures, revised and extended version

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Complex Variables (math.CV)

[1935] arXiv:1412.7001 [pdf, other]

Title: Character series and Sklyanin algebras at points of order 2

Kevin De Laet

Comments: 23 pages, this version is updated with a better exposition and useful information to understand all the results

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[1936] arXiv:1412.7002 [pdf, other]

Title: On the uniqueness of solutions to continuity equations

V.I. Bogachev, G. Da Prato, M. Röckner, S.V. Shaposhnikov

Journal-ref: J. Differential Equations 259 (2015), no. 8, 3854-3873

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[1937] arXiv:1412.7005 [pdf, other]

Title: Fine singularity analysis of solutions to the Laplace equation: Berg's effect

Adam Kubica, Piotr Rybka

Subjects: Analysis of PDEs (math.AP)

[1938] arXiv:1412.7008 [pdf, other]

Title: Long time behavior for a semilinear hyperbolic equation with asymtotically vanishing damping term and convex potential

Ramzi May

Comments: 7 pages

Subjects: Analysis of PDEs (math.AP)

[1939] arXiv:1412.7013 [pdf, other]

Title: SPM Bulletin 37

Boaz Tsaban

Comments: Boaz Tsaban is an editor of this bulletin

Subjects: General Topology (math.GN); Logic (math.LO)

[1940] arXiv:1412.7014 [pdf, other]

Title: Truncated versions of Dwork's lemma for exponentials of power series and $p$-divisibility of arithmetic functiens

Christian Krattenthaler (Universität Wien), Thomas W. Müller (Queen Mary, University of London)

Comments: AmS-LaTeX; 34 pages; several typos corrected; final version, to appear in Adv. Math

Journal-ref: Adv. Math. 283 (2015), 489-529

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

[1941] arXiv:1412.7017 [pdf, other]

Title: Cartan matrices and Brauer's k(B)-Conjecture III

Benjamin Sambale

Comments: 11 pages

Subjects: Representation Theory (math.RT)

[1942] arXiv:1412.7020 [pdf, other]

Title: Cartan matrices and Brauer's k(B)-Conjecture IV

Benjamin Sambale

Comments: 15 pages, some errors corrected

Subjects: Representation Theory (math.RT)

[1943] arXiv:1412.7023 [pdf, other]

Title: On Gauss maps in positive characteristic in view of images, fibers, and field extensions

Katsuhisa Furukawa, Atsushi Ito

Comments: 27 pages, Corollary 5.4 added

Subjects: Algebraic Geometry (math.AG)

[1944] arXiv:1412.7025 [pdf, other]

Title: On the number of rich lines in high dimensional real vector spaces

Marton Hablicsek, Zachary Scherr

Journal-ref: Discrete and Computational Geometry, 55(4), 955-962, (2016)

Subjects: Combinatorics (math.CO)

[1945] arXiv:1412.7034 [pdf, other]

Title: Harnack inequalities and $W$-entropy formula for Witten Laplacian on Riemannian manifolds with $K$-super Perelman Ricci flow

Songzi Li, Xiang-Dong Li

Comments: Theorem 1.1 in the first version has been improved. In the case of time dependent metrics and potentials, an error in the proof of Theorem 1.5 (i.e., Theorem 2.2), Theorem 2.3 and Theorem 2.4 in the first version has been corrected. See Section 4 and Section 5

Subjects: Differential Geometry (math.DG)

[1946] arXiv:1412.7037 [pdf, other]

Title: Construction de courbes sur les surfaces K3 [d'apr\`es Bogomolov-Hassett-Tschinkel, Charles, Li-Liedtke, Madapusi Pera, Maulik...]

Olivier Benoist

Comments: 33 pages, in French, séminaire Bourbaki, mars 2014, exposé 1081

Journal-ref: Asterisque No. 367-368 (2015), Exp. No. 1081, 219--253

Subjects: Algebraic Geometry (math.AG)

[1947] arXiv:1412.7040 [pdf, other]

Title: Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types $A_{n}$, $B_{n}$, $C_{n}$, $D_{n}$, and $G_2$

Alan J. Cain, Robert D. Gray, António Malheiro

Comments: 57 pages. Major revision

Journal-ref: Journal of Combinatorial Theory, Series A, 162 (2019), pp. 406-466

Subjects: Group Theory (math.GR); Formal Languages and Automata Theory (cs.FL)

[1948] arXiv:1412.7044 [pdf, other]

Title: Sign changes of coefficients of certain Dirichlet series

Jaban Meher, Sudhir Pujahari, Karam Deo Shankhadhar

Comments: To appear in Funct. Approx. Comment. Math

Subjects: Number Theory (math.NT)

[1949] arXiv:1412.7057 [pdf, other]

Title: An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

Karthik Adimurthi, Nguyen Cong Phuc

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[1950] arXiv:1412.7060 [pdf, other]

Title: On the noncommutative rigidity of the moduli stack of stable pointed curves

Shinnosuke Okawa, Taro Sano

Comments: v2: major revision. contribution from the twisted sectors is treated, assuming the HKR isomorphism for DM stacks. title changed. 32 pages

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