Mathematics

Authors and titles for July 2014

[1801] arXiv:1407.6175 [pdf, other]

Title: Analysis-suitable adaptive T-mesh refinement with linear complexity

Philipp Morgenstern, Daniel Peterseim

Comments: We now account for T-splines of arbitrary polynomial degree. We replaced the proof of Dual-Compatibility by a proof of Analysis-suitability, added a section where we address nestedness of the corresponding T-spline spaces, and removed the section on finite overlap the spline supports. 24 pages, 9 Figures

Journal-ref: Computer Aided Geometric Design, 34:50 - 66, 2015

Subjects: Numerical Analysis (math.NA)

[1802] arXiv:1407.6176 [pdf, other]

Title: Galois differential algebras and categorical discretization of dynamical systems

Piergiulio Tempesta

Comments: 19 pages (examples added)

Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[1803] arXiv:1407.6181 [pdf, other]

Title: Mean field games with common noise

Rene Carmona, Francois Delarue, Daniel Lacker

Subjects: Probability (math.PR)

[1804] arXiv:1407.6185 [pdf, other]

Title: Relative generalized Hamming weights of q-ary Reed-Muller codes

Olav Geil, Stefano Martin

Comments: 41 pages. A discussion has been added on how to use secret sharing schemes from q-ary Reed-Muller codes in connection with distributed storage

Subjects: Information Theory (cs.IT)

[1805] arXiv:1407.6194 [pdf, other]

Title: Second order variational problem and 2-dimensional concircular geometry

Roman Matsyuk

Comments: Proceedings of the 8th Conference on Geometry and Topology of Manifolds (Lie algebroids, dynamical systems and applications) (Luxembourg-Poland-Ukraine conference Przemyśl (Poland)-L'viv (Ukraine), this http URL.-6.V. 2007). MR2553650(2010i:53065). Several minor typos corrected

Journal-ref: Travaux math\'ematiques (Univ. Luxembourg), Vol. XVIII (2008), 125-137

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

[1806] arXiv:1407.6201 [pdf, other]

Title: Geometrically formal homogeneous metrics of positive curvature

Manuel Amann, Wolfgang Ziller

Subjects: Differential Geometry (math.DG)

[1807] arXiv:1407.6202 [pdf, other]

Title: Estimates of the distance to the exact solution of parabolic problems based on local Poincar\'e type inequalities

Svetlana Matculevich, Sergey Repin

Comments: Error in the specification of the area of research

Subjects: Functional Analysis (math.FA); Numerical Analysis (math.NA)

[1808] arXiv:1407.6206 [pdf, other]

Title: The zero loci of Z/2 harmonic spinors in dimension 2, 3 and 4

Clifford Henry Taubes

Comments: This paper corrects and extends theorems in arXiv:1307.6451, arXiv:1307.6447 and arXiv:1205.0514

Subjects: Differential Geometry (math.DG)

[1809] arXiv:1407.6208 [pdf, other]

Title: Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations

Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck, Endre Süli

Comments: 41 pages, 1 figure

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

[1810] arXiv:1407.6210 [pdf, other]

Title: Ergodic BSDEs driven by G-Brownian motion and their applications

Mingshang Hu, Falei Wang

Comments: 27 pages, better references

Subjects: Probability (math.PR)

[1811] arXiv:1407.6215 [pdf, other]

Title: Quasi-Antichain Chermak-Delgado Lattices of Finite Groups

Ben Brewster, Peter Hauck, Elizabeth Wilcox

Comments: 11 pages

Subjects: Group Theory (math.GR)

[1812] arXiv:1407.6216 [pdf, other]

Title: Classical and free Fourth Moment Theorems: universality and thresholds

Ivan Nourdin (FSTC), Giovanni Peccati (FSTC), Guillaume Poly (FSTC), Rosaria Simone (FSTC, DiMIE)

Comments: 26 pages

Subjects: Probability (math.PR)

[1813] arXiv:1407.6217 [pdf, other]

Title: A natural generalization of Balanced Tableaux

François Viard

Comments: This new version cointains several major changes in order to take new results into account

Subjects: Combinatorics (math.CO)

[1814] arXiv:1407.6218 [pdf, other]

Title: A trace formula for non-unitary representations of a uniform lattice

Anton Deitmar, Frank Monheim

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[1815] arXiv:1407.6219 [pdf, other]

Title: Analysis of a fractal boundary: the graph of the Knopp function

Mourad Ben Slimane, Clothilde Melot (I2M)

Subjects: Classical Analysis and ODEs (math.CA)

[1816] arXiv:1407.6226 [pdf, other]

Title: Hardy-type inequality in variable exponent Lebesgue spaces derived from nonlinear problem

Sylwia Dudek, Iwona Skrzypczak

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP)

[1817] arXiv:1407.6227 [pdf, other]

Title: Asymptotics of height change on toroidal Temperleyan dimer models

Julien Dubédat, Reza Gheissari

Comments: 26 pages

Subjects: Probability (math.PR)

[1818] arXiv:1407.6232 [pdf, other]

Title: Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation

David G. Costa, Pedro M. Girão

Comments: 30 pages

Journal-ref: J. Differential Equations 188 (2003), 164-202

Subjects: Analysis of PDEs (math.AP)

[1819] arXiv:1407.6233 [pdf, other]

Title: A sharp inequality for Sobolev functions

Pedro M. Girão

Comments: 4 pages

Journal-ref: C. R. Math. Acad. Sci. Paris 334 (2002), 105-108

Subjects: Analysis of PDEs (math.AP)

[1820] arXiv:1407.6234 [pdf, other]

Title: Computing in arithmetic groups with Voronoi's algorithm

Oliver Braun, Renaud Coulangeon, Gabriele Nebe, Sebastian Schoennenbeck

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

[1821] arXiv:1407.6241 [pdf, other]

Title: Classification of Rank 2 Cluster Varieties

Travis Mandel

Comments: published version

Journal-ref: SIGMA 15 (2019), 042, 32 pages

Subjects: Algebraic Geometry (math.AG)

[1822] arXiv:1407.6246 [pdf, other]

Title: The Origin of the Mystical Number Seven in Mesopotamian Culture; Division by Seven in the Sexagesimal Number System

Kazuo Muroi

Subjects: History and Overview (math.HO)

[1823] arXiv:1407.6247 [pdf, other]

Title: On Minimum Order of Odd Regular Graphs Without Perfect Matching

Anirban Banerjee, Saptarshi Bej

Comments: We have submitted an article with arxiv identifier number arXiv:1509.05476 which cuses the same results as this article. But the philosophy of the article arXiv:1509.05476 is different and more effective. And I found no way to change the title of the article

Subjects: Combinatorics (math.CO)

[1824] arXiv:1407.6248 [pdf, other]

Title: The phase transition in the multi-type binomial random graph $G(\mathbf{n},P)$

Mihyun Kang, Christoph Koch, Angélica Pachón

Comments: 27 pages

Journal-ref: SIAM J. Discrete Math. 29 (2015), no. 2, 1042-1064

Subjects: Probability (math.PR); Combinatorics (math.CO)

[1825] arXiv:1407.6258 [pdf, other]

Title: Super quasi-symmetric functions via Young diagrams

Jean-Christophe Aval, Valentin Féray, Jean-Christophe Novelli, Jean-Yves Thibon

Comments: 12 pages, extended abstract of arXiv:1312.2727, presented at FPSAC conference. The presentation of the results is quite different from the long version

Journal-ref: FPSAC 2014, Chicago (USA), DMTCS proc. AT, 2014, 169-180

Subjects: Combinatorics (math.CO)

[1826] arXiv:1407.6259 [pdf, other]

Title: Ergodic components and topological entropy in geodesic flows of surfaces

Jan Philipp Schröder

Comments: 23 pages, 2 figures

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

[1827] arXiv:1407.6267 [pdf, other]

Title: Learning in games via reinforcement and regularization

Panayotis Mertikopoulos, William H. Sandholm

Comments: 39 pages, 6 figures

Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT); Machine Learning (cs.LG)

[1828] arXiv:1407.6274 [pdf, other]

Title: Bipartite dimer representation of squared 2d-Ising correlations

Béatrice de Tilière

Comments: 11 pages, 6 figures

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

[1829] arXiv:1407.6275 [pdf, other]

Title: Mandelbrot cascades on random weighted trees and nonlinear smoothing transforms

Julien Barral, Jacques Peyrière

Comments: 30 pages. This version contains a functional central limit theorem in the quadratic case

Subjects: Probability (math.PR)

[1830] arXiv:1407.6276 [pdf, other]

Title: Shock Formation in Small-Data Solutions to $3D$ Quasilinear Wave Equations: An Overview

Gustav Holzegel, Sergiu Klainerman, Jared Speck, Willie Wong

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

[1831] arXiv:1407.6283 [pdf, other]

Title: A semigroup theoretic approach to Whitehead's asphericity question

Elton Pasku

Subjects: Algebraic Topology (math.AT)

[1832] arXiv:1407.6287 [pdf, other]

Title: A Quantum Quasi-Harmonic Nonlinear Oscillator with an Isotonic Term

Manuel F. Rañada

Comments: two figures

Journal-ref: J. Math. Phys. 55, n.8, 082108 (2014)

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

[1833] arXiv:1407.6289 [pdf, other]

Title: Fixation results for the two-feature Axelrod model with a variable number of opinions

Nicolas Lanchier, Paul-Henri Moisson

Comments: 21 pages, 5 figures

Subjects: Probability (math.PR)

[1834] arXiv:1407.6293 [pdf, other]

Title: A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation

Igor Rodnianski, Jared Speck

Comments: 73 pages

Journal-ref: Annals of Mathematics (2), 187, no. 1, (2018), 65-156

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc)

[1835] arXiv:1407.6298 [pdf, other]

Title: Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems

Igor Rodnianski, Jared Speck

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc)

[1836] arXiv:1407.6303 [pdf, other]

Title: Expansion of Building-Like Complexes

Alexander Lubotzky, Roy Meshulam, Shahar Mozes

Comments: 18 pages

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

[1837] arXiv:1407.6304 [pdf, other]

Title: Hamiltonian L-stability of Lagrangian Translating Solitons

Liuqing Yang

Comments: arXiv admin note: text overlap with arXiv:1312.7759

Subjects: Differential Geometry (math.DG)

[1838] arXiv:1407.6305 [pdf, other]

Title: On the singularities of the Szeg\"o projections on lower energy forms

Chin-Yu Hsiao, George Marinescu

Comments: 57 pages; references added

Journal-ref: J. Differential Geom. 107 (2017), No. 1 , 83-155

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

[1839] arXiv:1407.6306 [pdf, other]

Title: A method to derive concentration of measure bounds on Markov chains

Stephen Ng, Meg Walters

Comments: 13 pages. Additional applications added and method clarified. in Electronic Communications in Probability [Online], 20 (2015): 1-13. Web

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

[1840] arXiv:1407.6309 [pdf, other]

Title: The gap between Gromov-vague and Gromov-Hausdorff-vague topology

Siva Athreya, Wolfgang Löhr, Anita Winter

Journal-ref: Stochastic Proc. Appl. 126 (2016), no. 9, 2527-2553

Subjects: Probability (math.PR); Metric Geometry (math.MG)

[1841] arXiv:1407.6312 [pdf, other]

Title: The diameter of a random elliptical cloud

Yann Demichel, Ana Karina Fermin, Philippe Soulier

Comments: 39 pages, 5 figures Version 2: Constants corrected in Theorems 4.1 and 4.5 and a reference added

Journal-ref: Electronic Journal of Probability Vol20, 27, 2015

Subjects: Probability (math.PR)

[1842] arXiv:1407.6316 [pdf, other]

Title: Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration

Evgeny Feigin, Ievgen Makedonskyi

Comments: 22 pages

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

[1843] arXiv:1407.6320 [pdf, other]

Title: Shock Formation in Small-Data Solutions to $3D$ Quasilinear Wave Equations

Jared Speck

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

[1844] arXiv:1407.6325 [pdf, other]

Title: Log-Concavity of Combinations of Sequences and Applications to Genus Distributions

Jonathan L. Gross, Toufik Mansour, Thomas W. Tucker, David G.L. Wang

Comments: 28 pages, 5 figures

Subjects: Combinatorics (math.CO)

[1845] arXiv:1407.6329 [pdf, other]

Title: Perfect codes in Doob graphs

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

Comments: 11pp

Journal-ref: Des. Codes Cryptogr. 80(1) 2016, 91-102

Subjects: Combinatorics (math.CO); Information Theory (cs.IT)

[1846] arXiv:1407.6330 [pdf, other]

Title: Reduction of symplectic homeomorphisms

Vincent Humilière, Rémi Leclercq, Sobhan Seyfaddini

Comments: 39 pages, to appear in Annales scientifiques de l'École normale supérieure

Subjects: Symplectic Geometry (math.SG)

[1847] arXiv:1407.6335 [pdf, other]

Title: Large cardinals need not be large in HOD

Yong Cheng, Sy-David Friedman, Joel David Hamkins

Comments: 20 pages. Commentary concerning this article can be made at this http URL

Journal-ref: Annals of Pure and Applied Logic, Volume 166, Issue 11, November 2015, Pages 1186-1198

Subjects: Logic (math.LO)

[1848] arXiv:1407.6336 [pdf, other]

Title: A priori estimates and application to the symmetry of solutions for critical $p$-Laplace equations

Jérôme Vétois

Journal-ref: Journal of Differential Equations 260 (2016), no. 1, 149-161

Subjects: Analysis of PDEs (math.AP)

[1849] arXiv:1407.6341 [pdf, other]

Title: Partial Classification of Lorenz Knots: Syllable Permutations of Torus Knots Words

Paulo Gomes, Nuno Franco, Luis Silva

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS)

[1850] arXiv:1407.6343 [pdf, other]

Title: Pull-based load distribution in large-scale heterogeneous service systems

Alexander Stolyar

Comments: 17 pages. The previous version, arxiv.org/abs/1407.6343v2, is the one published in Queueing Systems, 2015, DOI https://doi.org/10.1007/s11134-015-9448-8. This version, in addition, has a short Appendix containing some corollaries from the main results

Subjects: Probability (math.PR)