Mathematics

Authors and titles for January 2018

[1701] arXiv:1801.05842 [pdf, other]

Title: Lipschitz contact equivalence and real analytic functions

Lev Birbrair, Rodrigo Mendes

Comments: 11 pages

Subjects: Metric Geometry (math.MG)

[1702] arXiv:1801.05844 [pdf, other]

Title: Performance Analysis of Joint Pairing and Mode Selection in D2D Communications with FD Radios

Simin Badri, Mansour Naslcheraghi, Mehdi Rasti

Comments: 6 pages, 4 figures, accepted in WCNC 2018

Subjects: Information Theory (cs.IT)

[1703] arXiv:1801.05848 [pdf, other]

Title: Random Construction of Partial MDS Codes

Alessandro Neri, Anna-Lena Horlemann-Trautmann

Subjects: Information Theory (cs.IT)

[1704] arXiv:1801.05859 [pdf, other]

Title: A Kotel'nikov Representation for Wavelets

H. M. de Oliveira, R. J. Cintra, R. C. de Oliveira

Comments: 6 pages, 15 figures

Subjects: Classical Analysis and ODEs (math.CA); Audio and Speech Processing (eess.AS); Signal Processing (eess.SP); Numerical Analysis (math.NA); Methodology (stat.ME)

[1705] arXiv:1801.05870 [pdf, other]

Title: Quantized Compressive Sensing with RIP Matrices: The Benefit of Dithering

Chunlei Xu, Laurent Jacques

Comments: 42 pages, 9 figures. Diff. btw V3 & V2: better paper structure, new concepts (e.g., RIP matrix distribution, connections with Bussgang's theorem), as well as many clarifications and corrections

Subjects: Information Theory (cs.IT)

[1706] arXiv:1801.05873 [pdf, other]

Title: Sparse Activity Detection for Massive Connectivity

Zhilin Chen, Foad Sohrabi, Wei Yu

Comments: 15 pages, 7 figures; accepted at TSP

Subjects: Information Theory (cs.IT)

[1707] arXiv:1801.05875 [pdf, other]

Title: An Ultra-Weak Discontinuous Galerkin Method for Schr\"odinger Equation in One Dimension

Anqi Chen, Fengyan Li, Yingda Cheng

Subjects: Numerical Analysis (math.NA)

[1708] arXiv:1801.05877 [pdf, other]

Title: Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions

Xiaobing Feng, Thomas Lewis

Subjects: Numerical Analysis (math.NA)

[1709] arXiv:1801.05879 [pdf, other]

Title: Analysis of the Vanishing Moment Method and its Finite Element Approximations for Second-order Linear Elliptic PDEs in Non-divergence Form

Xiaobing Feng, Thomas Lewis, Stefan Schnake

Comments: 28 pages, 3 tables and 4 graphics

Subjects: Numerical Analysis (math.NA)

[1710] arXiv:1801.05880 [pdf, other]

Title: Sums of Kloosterman sums over primes in an arithmetic progression

Alexander Dunn, Alexandru Zaharescu

Comments: 19 pages. Minor corrections and improved exposition throughout

Subjects: Number Theory (math.NT)

[1711] arXiv:1801.05887 [pdf, other]

Title: Uniform Ergodicity for Brownian Motion in a Bounded Convex Set

Jackson Loper

Subjects: Probability (math.PR)

[1712] arXiv:1801.05892 [pdf, other]

Title: Evaluating High Order Discontinuous Galerkin Discretization of the Boltzmann Collision Integral in $O(N^2)$ Operations Using the Discrete Fourier Transform

Alexander Alekseenko, Jeffrey Limbacher

Comments: Submitted to Kinetic and Related Models

Subjects: Numerical Analysis (math.NA)

[1713] arXiv:1801.05893 [pdf, other]

Title: A very brief introduction to quantum computing and quantum information theory for mathematicians

J.M. Landsberg

Subjects: History and Overview (math.HO); Quantum Physics (quant-ph)

[1714] arXiv:1801.05894 [pdf, other]

Title: Deep Learning: An Introduction for Applied Mathematicians

Catherine F. Higham, Desmond J. Higham

Subjects: History and Overview (math.HO); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[1715] arXiv:1801.05898 [pdf, other]

Title: Brody hyperbolicity of base spaces of certain families of varieties

Mihnea Popa, Behrouz Taji, Lei Wu

Comments: v4: We revert to a previous version of the paper, since the latest version containing a more general result had an incomplete argument

Journal-ref: Alg. Number Th. 13 (2019) 2205-2242

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

[1716] arXiv:1801.05899 [pdf, other]

Title: On the cycle index and the weight enumerator

Tsuyoshi Miezaki, Manabu Oura

Comments: 8 pages

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

[1717] arXiv:1801.05907 [pdf, other]

Title: On the constant scalar curvature K\"ahler metrics, general automorphism group

Xiuxiong Chen, Jingrui Cheng

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[1718] arXiv:1801.05910 [pdf, other]

Title: Dual Third-order Jacobsthal Quaternions

Gamaliel Cerda-Morales

Comments: 13 pages

Journal-ref: Proyecciones. Journal of Mathematics, 37(4), (2018), 731--747

Subjects: Rings and Algebras (math.RA)

[1719] arXiv:1801.05914 [pdf, other]

Title: The De Bruijn-Newman constant is non-negative

Brad Rodgers, Terence Tao

Comments: 61 pages, no figures. This paper is the published version, but with some corrections to Section 8 to address some issues pointed out by Ofer Zeitouni that tretament of the boundary contributions to the energy was previously inadequate

Subjects: Number Theory (math.NT)

[1720] arXiv:1801.05919 [pdf, other]

Title: Rate-Optimal Streaming Codes for Channels with Burst and Isolated Erasures

M. Nikhil Krishnan, P. Vijay Kumar

Comments: shorter version submitted to ISIT 2018

Subjects: Information Theory (cs.IT)

[1721] arXiv:1801.05921 [pdf, other]

Title: Moment inequalities for matrix-valued U-statistics of order 2

Stanislav Minsker, Xiaohan Wei

Comments: Corrected typos and added more detailed references

Subjects: Probability (math.PR)

[1722] arXiv:1801.05926 [pdf, other]

Title: The Utility Cost of Robust Privacy Guarantees

Hao Wang, Mario Diaz, Flavio P. Calmon, Lalitha Sankar

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

[1723] arXiv:1801.05928 [pdf, other]

Title: On partitions into squares of distinct integers whose reciprocals sum to 1

Max A. Alekseyev

Journal-ref: In: J. Beineke, J. Rosenhouse (eds.) The Mathematics of Various Entertaining Subjects: Research in Recreational Math, Volume 3, Princeton University Press, 2019, pp. 213-221. ISBN 978-0-691-18257-5

Subjects: Number Theory (math.NT); Discrete Mathematics (cs.DM)

[1724] arXiv:1801.05934 [pdf, other]

Title: Condensation of Non-Reversible Zero-Range Processes

Insuk Seo

Comments: 62 pages, 1 figure

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

[1725] arXiv:1801.05935 [pdf, other]

Title: Computation of the Maximum Likelihood estimator in low-rank Factor Analysis

Koulik Khamaru, Rahul Mazumder

Comments: 22 pages, 4 figures

Subjects: Optimization and Control (math.OC); Computation (stat.CO); Machine Learning (stat.ML)

[1726] arXiv:1801.05936 [pdf, other]

Title: Gradient Estimates and Ergodicity for SDEs Driven by Multiplicative L\'{e}vy Noises via Coupling

Mingjie Liang, Jian Wang

Comments: 34 pages

Subjects: Probability (math.PR)

[1727] arXiv:1801.05948 [pdf, other]

Title: Uplink Coverage Performance of an Underlay Drone Cell for Temporary Events

Xiaohui Zhou, Jing Guo, Salman Durrani, Halim Yanikomeroglu

Comments: This work is accepted to 2018 IEEE International Conference on Communications Workshops (ICC Workshops): Integrating UAVs into 5G

Subjects: Information Theory (cs.IT)

[1728] arXiv:1801.05951 [pdf, other]

Title: Quadratically Constrained Myopic Adversarial Channels

Yihan Zhang, Shashank Vatedka, Sidharth Jaggi, Anand Sarwate

Comments: Improved z-aware symmetrization bound is added, subsuming those given by z-agnostic symmetrization and the old z-aware symmetrization in the previous version

Subjects: Information Theory (cs.IT)

[1729] arXiv:1801.05952 [pdf, other]

Title: Convergence rates of truncated EM scheme for NSDDEs

Li Tan, Chenggui Yuan

Subjects: Numerical Analysis (math.NA)

[1730] arXiv:1801.05963 [pdf, other]

Title: Formula for calculating the Wiener polarity index with applications to benzenoid graphs and phenylenes

Niko Tratnik

Journal-ref: J. Math. Chem. 57 (2019) 370-383

Subjects: Combinatorics (math.CO)

[1731] arXiv:1801.05965 [pdf, other]

Title: The Complexity of Combinations of Qualitative Constraint Satisfaction Problems

Manuel Bodirsky, Johannes Greiner

Journal-ref: Logical Methods in Computer Science, Volume 16, Issue 1 (February 20, 2020) lmcs:5481

Subjects: Logic (math.LO); Computational Complexity (cs.CC); Logic in Computer Science (cs.LO)

[1732] arXiv:1801.05966 [pdf, other]

Title: Towards probabilistic partial metric spaces: Diagonals between distance distributions

Jialiang He, Hongliang Lai, Lili Shen

Comments: 20 pages, final version

Journal-ref: Fuzzy Sets and Systems, 370:99-119, 2019

Subjects: General Topology (math.GN); Category Theory (math.CT)

[1733] arXiv:1801.05973 [pdf, other]

Title: A combinatorial approach to Rauzy-type dynamics II: the labelling method and a second proof of the KZB classification theorem

Quentin De Mourgues

Comments: 78 pages, 42 figure, 3 tables

Subjects: Combinatorics (math.CO)

[1734] arXiv:1801.05975 [pdf, other]

Title: Groups whose elements are not conjugate to their powers

Andreas Bächle, Benjamin Sambale

Comments: 6 pages

Journal-ref: Arch. Math. 110 (2018), 447-454

Subjects: Group Theory (math.GR)

[1735] arXiv:1801.05977 [pdf, other]

Title: An FFT-based algorithm for efficient computation of Green's functions for the Helmholtz and Maxwell's equations in periodic domains

Bo Zhang, Ruming Zhang

Journal-ref: SIAM Journal on Scientific Computing, volume 40, number 3, B915-B941, 2018

Subjects: Numerical Analysis (math.NA)

[1736] arXiv:1801.05979 [pdf, other]

Title: On Krull-Gabriel dimension and Galois coverings

Grzegorz Pastuszak

Comments: We have added a corrigendum to the original paper since an error was found in the proof of Theorem 6.3

Subjects: Representation Theory (math.RT)

[1737] arXiv:1801.05981 [pdf, other]

Title: Doubling Algorithms for Stationary Distributions of Fluid Queues: A Probabilistic Interpretation

Nigel Bean, Giang T. Nguyen, Federico Poloni

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

[1738] arXiv:1801.05989 [pdf, other]

Title: Code Constructions for Distributed Storage With Low Repair Bandwidth and Low Repair Complexity

Siddhartha Kumar, Alexandre Graell i Amat, Iryna Andriyanova, Fredrik Brännström, Eirik Rosnes

Comments: To appear in IEEE Transactions on Communications

Subjects: Information Theory (cs.IT)

[1739] arXiv:1801.05993 [pdf, other]

Title: Direct sampling method for imaging small dielectric inhomogeneities: analysis and improvement

Sangwoo Kang, Marc Lambert, Won-Kwang Park

Comments: 18 pages

Journal-ref: Inverse Problems, 34 (9) (2018), 095005 (18pp)

Subjects: Numerical Analysis (math.NA)

[1740] arXiv:1801.05996 [pdf, other]

Title: $\varepsilon$-Approximability of Harmonic Functions in $L^p$ Implies Uniform Rectifiability

Simon Bortz, Olli Tapiola

Subjects: Analysis of PDEs (math.AP)

[1741] arXiv:1801.05998 [pdf, other]

Title: A single server queue with batch arrivals and semi-Markov services

Abhishek, Marko Boon, Onno Boxma, Rudesindo Núñez-Queija

Subjects: Probability (math.PR)

[1742] arXiv:1801.05999 [pdf, other]

Title: On the characterisations of wave front sets via the short-time Fourier transform

Stevan Pilipovic, Bojan Prangoski

Comments: corrected typos

Subjects: Analysis of PDEs (math.AP)

[1743] arXiv:1801.06001 [pdf, other]

Title: Generalized power central group identities in almost subnormal subgroups of $\GL_n(D)$

Bui Xuan Hai, Huynh Viet Khanh, Mai Hoang Bien

Comments: 13 pages

Journal-ref: Algebra i Analiz (St. Petersburg Math. Journal) (2019)

Subjects: Rings and Algebras (math.RA)

[1744] arXiv:1801.06002 [pdf, other]

Title: Short walk adventures

Armin Straub, Wadim Zudilin

Comments: 15 pages

Journal-ref: From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein (Callaghan, Australia, September 2017), B. Sims et al. (eds.), Springer Proceedings in Mathematics and Statistics 313 (Springer, 2020), 423--439

Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); K-Theory and Homology (math.KT); Probability (math.PR)

[1745] arXiv:1801.06004 [pdf, other]

Title: Scattered classes of graphs

O-joung Kwon, Sang-il Oum

Comments: 42 pages, 5 figures. Final version.(Fixing minor typos in 7.4)

Journal-ref: SIAM J. Discrete Math., 34(March 2020), no. 1, pp. 972-999

Subjects: Combinatorics (math.CO)

[1746] arXiv:1801.06006 [pdf, other]

Title: Bounds for higher topological complexity of real projective space implied by BP

Donald M Davis

Subjects: Algebraic Topology (math.AT)

[1747] arXiv:1801.06008 [pdf, other]

Title: Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample

Bruno Ziliotto

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[1748] arXiv:1801.06010 [pdf, other]

Title: Divisibility properties of motivic cohomology

Bruno Kahn

Comments: 8 pages

Journal-ref: Published as an appendix to: F. Andreatta, L. Barbieri-Viale, A. Bertapelle, Motivic periods and Grothendieck arithmetic invariants, Adv. in Math. 359 (2020) 106880

Subjects: Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)

[1749] arXiv:1801.06013 [pdf, other]

Title: Inverse of Infinite Hankel Moment Matrices

Christian Berg, Ryszard Szwarc

Journal-ref: SIGMA 14 (2018), 109, 48 pages

Subjects: Classical Analysis and ODEs (math.CA)

[1750] arXiv:1801.06016 [pdf, other]

Title: On improving the numerical convergence of highly nonlinear elasticity problems

Yue Mei, Daniel E. Hurtado, Sanjay Pant, Ankush Aggarwal

Subjects: Numerical Analysis (math.NA)