Mathematics

Authors and titles for April 2018

[651] arXiv:1804.02349 [pdf, other]

Title: Spectral theory of rank one perturbations of normal compact operators

Anton Baranov

Comments: 52 pages

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[652] arXiv:1804.02352 [pdf, other]

Title: Pullbacks of Saito--Kurokawa lifts and a central value formula

Aprameyo Pal, Carlos de Vera-Piquero

Comments: 59 pages, typos and minor issues corrected, To appear in Documenta Mathematica

Subjects: Number Theory (math.NT)

[653] arXiv:1804.02353 [pdf, other]

Title: Non-trivial Kazhdan-Lusztig coefficients of affine Weyl groups

Pan Chen

Comments: 34 pages

Subjects: Representation Theory (math.RT)

[654] arXiv:1804.02355 [pdf, other]

Title: On the regularity of the minimizer of the electrostatic Born-Infeld energy

Denis Bonheure, Alessandro Iacopetti

Subjects: Analysis of PDEs (math.AP)

[655] arXiv:1804.02365 [pdf, other]

Title: A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting

Xiaofeng Cai, Wei Guo, Jingmei Qiu

Comments: arXiv admin note: text overlap with arXiv:1709.02531

Subjects: Numerical Analysis (math.NA)

[656] arXiv:1804.02366 [pdf, other]

Title: Integrable coupled Li$\acute{e}$nard-type systems with balanced loss and gain

Debdeep Sinha, Pijush K. Ghosh

Comments: Latex, 24 pages, 1 figure, Added Discussions and References, Version to appear in Annals of Physics

Journal-ref: Annals of Physics 400 (2019) 109-127

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

[657] arXiv:1804.02374 [pdf, other]

Title: An abstract approach to optimal decay of functions and operator semigroups

Gregory Debruyne, David Seifert

Comments: To appear in the Israel Journal of Mathematics

Journal-ref: Israel Journal of Mathematics, vol. 233(1), 2019, pp. 439-451

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[658] arXiv:1804.02377 [pdf, other]

Title: Adaptive finite element method for the Maxwell eigenvalue problem

Daniele Boffi, Lucia Gastaldi

Subjects: Numerical Analysis (math.NA)

[659] arXiv:1804.02383 [pdf, other]

Title: Transfer operators and Hankel transforms between relative trace formulas, I: character theory

Yiannis Sakellaridis

Comments: 68pp, submitted. This is a slightly updated part 1 (of 2) of what was previously posted as a single paper

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

[660] arXiv:1804.02385 [pdf, other]

Title: The chromatic number of the plane is at least 5

Aubrey D.N.J. de Grey

Subjects: Combinatorics (math.CO)

[661] arXiv:1804.02388 [pdf, other]

Title: Design of multi-layer materials using inverse homogenization and a level set method

Grigor Nika, Andrei Constantinescu

Comments: 21 pages

Subjects: Optimization and Control (math.OC)

[662] arXiv:1804.02390 [pdf, other]

Title: Strichartz estimates and wave equation in a conic singular space

Junyong Zhang, Jiqiang Zheng

Comments: Comments are welcome! To appear in Mathematische Annalen

Journal-ref: Mathematische Annalen (2020) 376:525-581

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

[663] arXiv:1804.02394 [pdf, other]

Title: An Accelerated Directional Derivative Method for Smooth Stochastic Convex Optimization

Pavel Dvurechensky, Eduard Gorbunov, Alexander Gasnikov

Comments: arXiv admin note: text overlap with arXiv:1802.09022

Subjects: Optimization and Control (math.OC); Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS)

[664] arXiv:1804.02396 [pdf, other]

Title: On $3$-dimensional $\widetilde{J}$-tangent centro-affine hypersurfaces and $\widetilde{J}$-tangent affine hyperspheres with some null-directions

Zuzanna Szancer

Comments: arXiv admin note: text overlap with arXiv:1804.01599

Journal-ref: Turk J Math, 42, (2018), 2779-2797

Subjects: Differential Geometry (math.DG)

[665] arXiv:1804.02416 [pdf, other]

Title: Modified trace from pivotal Hopf $G$-coalgebra

Ngoc-Phu Ha

Subjects: Quantum Algebra (math.QA)

[666] arXiv:1804.02424 [pdf, other]

Title: On topological invariants of algebraic threefolds with ($\mathbb Q$-factorial) singularities

Antonella Grassi, Timo Weigand, with an Appendix by V. Srinivas

Comments: 35 pages

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

[667] arXiv:1804.02425 [pdf, other]

Title: Fast Decentralized Optimization over Networks

Meng Ma, Athanasios N. Nikolakopoulos, Georgios B. Giannakis

Comments: fix error in remark 4; clean up algorithms 2

Subjects: Optimization and Control (math.OC); Distributed, Parallel, and Cluster Computing (cs.DC); Signal Processing (eess.SP)

[668] arXiv:1804.02439 [pdf, other]

Title: Dathematics: A Meta-isomorphic Version of 'Standard' Mathematics based on Proper Classes

Danny A. J. Gomez-Ramirez

Subjects: Logic (math.LO)

[669] arXiv:1804.02442 [pdf, other]

Title: A Local Sensory and Control Strategy for Following Hydrodynamic Signals

Brendan Colvert, Eva Kanso

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS); Fluid Dynamics (physics.flu-dyn)

[670] arXiv:1804.02444 [pdf, other]

Title: Dependence of the density of states on the probability distribution for discrete random Schr\"odinger operators

Peter D. Hislop, Christoph A. Marx

Subjects: Mathematical Physics (math-ph)

[671] arXiv:1804.02448 [pdf, other]

Title: Polish Mathematicians and Mathematics in World War I

Stanislaw Domoradzki, Malgorzata Stawiska

Journal-ref: Studia Historiae Scientiarum 18 (2019), 55-92 (part 2)

Subjects: History and Overview (math.HO)

[672] arXiv:1804.02450 [pdf, other]

Title: Frame sets for generalized $B$-splines

A. Ganiou D. Atindehou, Yebeni B. Kouagou, Kasso A. Okoudjou

Comments: 23 pages, 4 figures. This is version 2, some typos where corrected, figures of dual functions are given and it is proved that the duals we constructed are discontinuous

Subjects: Functional Analysis (math.FA)

[673] arXiv:1804.02451 [pdf, other]

Title: Three-colour bipartite Ramsey number for graphs with small bandwidth

Guilherme Oliveira Mota

Comments: 15 pages

Subjects: Combinatorics (math.CO)

[674] arXiv:1804.02459 [pdf, other]

Title: An estimation of distribution algorithm for the computation of innovation estimators of diffusion processes

Zochil González Arenas, Juan Carlos Jimenez, Li-Vang Lozada-Chang, Roberto Santana

Comments: 14 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[675] arXiv:1804.02468 [pdf, other]

Title: Additive quaternary codes related to exceptional linear quaternary codes

Juergen Bierbrauer, Stefano Marcugini, Fernanda Pambianco

Comments: 13 pages

Subjects: Combinatorics (math.CO)

[676] arXiv:1804.02469 [pdf, other]

Title: Coding of Graphs with Application to Graph Anomaly Detection

Anders Host-Madsen, June Zhang

Comments: To be presented at ISIT'18

Subjects: Information Theory (cs.IT)

[677] arXiv:1804.02473 [pdf, other]

Title: New Perspectives on Neighborhood-Prime Labelings of Graphs

John Asplund, N. Bradley Fox, Arran Hamm

Comments: 21 pages, 11 figures

Subjects: Combinatorics (math.CO)

[678] arXiv:1804.02475 [pdf, other]

Title: On the discretized sum-product problem

Larry Guth, Nets Hawk Katz, Joshua Zahl

Comments: 13 pages, 0 figures. v3: final version, to appear in IMRN

Journal-ref: IMRN Volume 2021, Issue 13: 9769 - 9785

Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO); Metric Geometry (math.MG)

[679] arXiv:1804.02480 [pdf, other]

Title: Data-driven closures for stochastic dynamical systems

Catherine Brennan, Daniele Venturi

Comments: 23 pages, 15 figures

Subjects: Dynamical Systems (math.DS)

[680] arXiv:1804.02481 [pdf, other]

Title: The Geometry of some Fibonacci Identities in the Hosoya Triangle

Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee

Comments: There are 17 figures representing Fibonacci identities in the Hosoya triangle

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

[681] arXiv:1804.02482 [pdf, other]

Title: High-dimensional Adaptive Minimax Sparse Estimation with Interactions

Chenglong Ye, Yuhong Yang

Subjects: Statistics Theory (math.ST)

[682] arXiv:1804.02488 [pdf, other]

Title: On integer solutions of Parsell-Vinogradov systems

Shaoming Guo, Ruixiang Zhang

Comments: 55 pages

Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)

[683] arXiv:1804.02489 [pdf, other]

Title: Lecture hall tableaux

Sylvie Corteel, Jang Soo Kim

Comments: 25 pages, 5 figures, to appear in Adv. Math

Subjects: Combinatorics (math.CO); Classical Analysis and ODEs (math.CA)

[684] arXiv:1804.02490 [pdf, other]

Title: Involutions and the Gelfand character

Kassie Archer, Virginia Germany, C. Marin King, L.-K. Lauderdale

Subjects: Combinatorics (math.CO)

[685] arXiv:1804.02494 [pdf, other]

Title: Brauer group of the moduli spaces of stable vector bundles of fixed determinant over a smooth curve

Indranil Biswas, Tathagata Sengupta

Comments: Final version

Subjects: Algebraic Geometry (math.AG)

[686] arXiv:1804.02495 [pdf, other]

Title: Hodge and Prym tau functions, Jenkins-Strebel differentials and combinatorial model of $\mathcal M_{g,n}$

M. Bertola, D. Korotkin

Comments: 54 pages, 17 figures. Minor improvements

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Exactly Solvable and Integrable Systems (nlin.SI)

[687] arXiv:1804.02497 [pdf, other]

Title: Characterizations of countably $n$-rectifiable Radon measures by higher-dimensional Menger curvatures

Max Goering

Comments: Technical issue in Theorem 3.12 fixed

Subjects: Classical Analysis and ODEs (math.CA)

[688] arXiv:1804.02500 [pdf, other]

Title: Variants on Andrica's conjecture with and without the Riemann hypothesis

Matt Visser (Victoria University of Wellington)

Comments: V1: 12 pages; V2: 9 pages. Discussion simplified and streamlined. Various numerical constants improved. Extra section added on what can be proved unconditionally. Updated discussion on using maximal prime gaps to verify the standard Andrica conjecture up to 1.8 x 10^{19}. V3: 10 pages; 4 references added; some cosmetic changes; more discussion of numerics; closely resembles published version

Journal-ref: Mathematics 6 #12 (2018) 289

Subjects: Number Theory (math.NT)

[689] arXiv:1804.02501 [pdf, other]

Title: Chemotaxis effect vs logistic damping on boundedness in the 2-D minimal Keller-Segel model

Hai-Yang Jin, Tian Xiang

Comments: 13 pages, under review

Journal-ref: 2018, Comptes Rendus de l Acad\'emie des Sciences - Series I - Mathematics

Subjects: Analysis of PDEs (math.AP)

[690] arXiv:1804.02507 [pdf, other]

Title: A fully non-linear optimization approach to acousto-electric tomography

B. J. Adesokan, Kim Knudsen, Venkateswaran P. Krishnan, Souvik Roy

Subjects: Optimization and Control (math.OC)

[691] arXiv:1804.02511 [pdf, other]

Title: Virtual Knot Cobordism and the Affine Index Polynomial

Louis H Kauffman

Comments: 29 pages, 32 figures, LaTeX document. arXiv admin note: substantial text overlap with arXiv:1409.0324

Subjects: Geometric Topology (math.GT)

[692] arXiv:1804.02514 [pdf, other]

Title: Some Studies On Central Derivation of Nilpotent Lie Superalgebras

Rudra Narayan Padhan, K.C. Pati

Comments: Comments are welcome

Subjects: Rings and Algebras (math.RA)

[693] arXiv:1804.02515 [pdf, other]

Title: Periodic ellipsoidal billiard trajectories and extremal polynomials

Vladimir Dragovic, Milena Radnovic

Comments: 29 pages, 11 figures

Subjects: Dynamical Systems (math.DS); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA)

[694] arXiv:1804.02517 [pdf, other]

Title: Sensitive open map semigroups on Peano continua having a free arc

Suhua Wang, Enhui Shi, Pingping Dong

Comments: 10

Subjects: Dynamical Systems (math.DS)

[695] arXiv:1804.02521 [pdf, other]

Title: Inertia groups and uniqueness of holomorphic vertex operator algebras

Ching Hung Lam, Hiroki Shimakura

Comments: 46 pages

Subjects: Quantum Algebra (math.QA)

[696] arXiv:1804.02524 [pdf, other]

Title: Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential

Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

Comments: 22 pages, no figures

Subjects: Analysis of PDEs (math.AP)

[697] arXiv:1804.02531 [pdf, other]

Title: On the ratio of prefix codes to all uniquely decodable codes with a given length distribution

Adam Woryna

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

[698] arXiv:1804.02532 [pdf, other]

Title: Total domination in cubic Kn\"odel graphs

Doost Ali Mojdeh, Seyed Reza Musawi, Esmaeil Nazari, Nader Jafari Rad

Subjects: Combinatorics (math.CO)

[699] arXiv:1804.02534 [pdf, other]

Title: A representation theorem for measurable relation algebras with cyclic groups

Hajnal Andréka, Steven Givant

Comments: This is the fourth member of a series of papers on measurable relation algebras

Subjects: Logic (math.LO)

[700] arXiv:1804.02536 [pdf, other]

Title: Generalized Fractional Operators on Time Scales with Application to Dynamic Equations

Kheira Mekhalfi, Delfim F. M. Torres

Comments: This is a preprint whose final and definite form is with 'The European Physical Journal Special Topics' (EPJ ST), ISSN 1951-6355 (Print), ISSN 1951-6401 (Online), available at [this https URL]. Submitted 20-June-2017; revised 26-Oct-2017; accepted for publication 06-April-2018. arXiv admin note: text overlap with arXiv:1508.00754; text overlap with arXiv:nlin/0507061 by other authors

Journal-ref: Eur. Phys. J. Special Topics 226 (2017), no. 16-18, 3489--3499

Subjects: Classical Analysis and ODEs (math.CA)