Mathematics

Authors and titles for July 2018

[1601] arXiv:1807.06493 [pdf, other]

Title: Information and Energy Transmission with Experimentally-Sampled Harvesting Functions

Daewon Seo, Lav R. Varshney

Comments: final version, to appear in IEEE Transactions on Communications

Subjects: Information Theory (cs.IT)

[1602] arXiv:1807.06494 [pdf, other]

Title: An integer degree for asymptotically conical self-expanders

Jacob Bernstein, Lu Wang

Comments: 42 pages, 0 figures

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

[1603] arXiv:1807.06495 [pdf, other]

Title: Germ order for one-dimensional packings

Aaron Abrams, Henry Landau, Zeph Landau, Jamie Pommersheim, James Propp, Alexander Russell

Comments: arXiv admin note: text overlap with arXiv:1704.08785. The new version has more results and more authors

Subjects: Combinatorics (math.CO)

[1604] arXiv:1807.06499 [pdf, other]

Title: Caratheodory type representation with unit weights and related approximation problems

Mikhail A. Komarov

Comments: Russian language

Subjects: Classical Analysis and ODEs (math.CA)

[1605] arXiv:1807.06502 [pdf, other]

Title: Square-Zero Basis of Matrix Lie Algebras

R. Durán Díaz, V. Gayoso Martínez, L. Hernández Encinas, J. Muñoz Masqué

Journal-ref: Mathematics 2020, 8, 1032

Subjects: Representation Theory (math.RT)

[1606] arXiv:1807.06512 [pdf, other]

Title: Norm-compatible systems of Galois cohomology classes for $GSp_6$

Antonio Cauchi, Joaquín Rodrigues Jacinto

Comments: 27 pages, 1 figure

Subjects: Number Theory (math.NT)

[1607] arXiv:1807.06516 [pdf, other]

Title: The Active Bijection 2.a - Decomposition of activities for matroid bases, and Tutte polynomial of a matroid in terms of beta invariants of minors

Emeric Gioan, Michel Las Vergnas

Comments: 27 pages

Subjects: Combinatorics (math.CO)

[1608] arXiv:1807.06527 [pdf, other]

Title: On monotonicity of Ramanujan function for binomial random variables

Daniil Dmitriev, Maksim Zhukovskii

Subjects: Combinatorics (math.CO)

[1609] arXiv:1807.06528 [pdf, other]

Title: Notes on asymptotic eigenvalues distribution on complex circles

Giovanni Barbarino

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

[1610] arXiv:1807.06545 [pdf, other]

Title: The active bijection for graphs

Emeric Gioan, Michel Las Vergnas

Comments: 62 pages, 10 figures, many subsections

Subjects: Combinatorics (math.CO)

[1611] arXiv:1807.06549 [pdf, other]

Title: Boundary-to-Displacement Asymptotic Gains for Wave Systems With Kelvin-Voigt Damping

Iasson Karafyllis, Maria Kontorinaki, Miroslav Krstic

Comments: 21 pages, 11 figures, submitted to Automatica for possible publication

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[1612] arXiv:1807.06552 [pdf, other]

Title: Computing the fully optimal spanning tree of an ordered bipolar directed graph

Emeric Gioan, Michel Las Vergnas

Comments: 18 pages. arXiv admin note: text overlap with arXiv:1807.06545

Subjects: Combinatorics (math.CO)

[1613] arXiv:1807.06559 [pdf, other]

Title: On Tutte polynomial expansion formulas in perspectives of matroids and oriented matroids

Emeric Gioan

Comments: 17 pages

Subjects: Combinatorics (math.CO)

[1614] arXiv:1807.06563 [pdf, other]

Title: The model theory of Commutative Near Vector Spaces

Karin-Therese Howell, Charlotte Kestner

Subjects: Logic (math.LO)

[1615] arXiv:1807.06564 [pdf, other]

Title: Loop correlations in random wire models

Costanza Benassi, Daniel Ueltschi

Comments: 20 pages, 5 figures. An error in Prop. 4.1 has been corrected

Journal-ref: Commun. Math. Phys. 374, 525-547 (2020)

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

[1616] arXiv:1807.06565 [pdf, other]

Title: Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients

Chenlin Gu

Comments: 32 pages, 3 figures

Journal-ref: Stoch PDE: Anal Comp 8, 787-818 (2020)

Subjects: Numerical Analysis (math.NA)

[1617] arXiv:1807.06570 [pdf, other]

Title: Representation Growth of Compact Special Linear Groups of degree two

M Hassain, Pooja Singla

Comments: 49 pages, Improved the general presentation and corrected many typographical errors

Subjects: Representation Theory (math.RT)

[1618] arXiv:1807.06577 [pdf, other]

Title: Fisher zeros and correlation decay in the Ising model

Jingcheng Liu, Alistair Sinclair, Piyush Srivastava

Comments: 21 pages, 1 figure

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS)

[1619] arXiv:1807.06578 [pdf, other]

Title: The Active Bijection 2.b - Decomposition of activities for oriented matroids, and general definitions of the active bijection

Emeric Gioan, Michel Las Vergnas

Comments: 58 pages, 6 tables, 21 figures

Subjects: Combinatorics (math.CO)

[1620] arXiv:1807.06580 [pdf, other]

Title: Counting higher order tangencies for plane curves

Joshua Zahl

Comments: 8 pages, 0 figures. v2: to appear in Combin. Probab. Comput

Journal-ref: Combinator. Probab. Comp. 29 (2020) 310-317

Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG)

[1621] arXiv:1807.06585 [pdf, other]

Title: Global well-posedness for the logarithmically energy-supercritical Nonlinear Wave Equation with partial symmetry

Aynur Bulut, Benjamin Dodson

Comments: 19 pages

Journal-ref: International Mathematics Research Notices (2021), no. 8, 5943--5967

Subjects: Analysis of PDEs (math.AP)

[1622] arXiv:1807.06605 [pdf, other]

Title: On the moments of the moments of the characteristic polynomials of random unitary matrices

E. C. Bailey, J. P. Keating

Comments: 35 pages, to appear in CMP

Subjects: Mathematical Physics (math-ph)

[1623] arXiv:1807.06606 [pdf, other]

Title: A compressive spectral collocation method for the diffusion equation under the restricted isometry property

Simone Brugiapaglia

Subjects: Numerical Analysis (math.NA)

[1624] arXiv:1807.06607 [pdf, other]

Title: Monochromatic cycle partitions in random graphs

Richard Lang, Allan Lo

Comments: 16 pages, accepted in Combinatorics, Probability and Computing

Journal-ref: Combinator. Probab. Comp. 30 (2021) 136-152

Subjects: Combinatorics (math.CO)

[1625] arXiv:1807.06609 [pdf, other]

Title: Principally-injective Leavitt path algebras over arbitrary graphs

Soumitra Das, Ardeline M. Buhphang

Comments: 9 pages

Subjects: Rings and Algebras (math.RA)

[1626] arXiv:1807.06611 [pdf, other]

Title: Linear Model Regression on Time-series Data: Non-asymptotic Error Bounds and Applications

Atiye Alaeddini, Siavash Alemzadeh, Afshin Mesbahi, Mehran Mesbahi

Comments: Accepted to 57th IEEE Conference on Decision and Control, 2018

Subjects: Optimization and Control (math.OC)

[1627] arXiv:1807.06612 [pdf, other]

Title: Influence Models on Layered Uncertain Networks: A Guaranteed-Cost Design Perspective

Siavash Alemzadeh, Mehran Mesbahi

Comments: Accepted to 57th IEEE Conference on Decision and Control, 2018

Subjects: Optimization and Control (math.OC)

[1628] arXiv:1807.06626 [pdf, other]

Title: The Construction of Regular Supercuspidal Representations

Jeffrey Hakim

Subjects: Representation Theory (math.RT)

[1629] arXiv:1807.06629 [pdf, other]

Title: Parallel Restarted SGD with Faster Convergence and Less Communication: Demystifying Why Model Averaging Works for Deep Learning

Hao Yu, Sen Yang, Shenghuo Zhu

Comments: No change has been made on the technical proof since V1. V2 changes the title to emphasize its value in deep learning; polishes the writing; and adds numerical simulations. This version further corrects a few typos in V2 posted a few days ago. A short version of this paper is accepted to AAAI 2019

Subjects: Optimization and Control (math.OC); Distributed, Parallel, and Cluster Computing (cs.DC); Machine Learning (cs.LG)

[1630] arXiv:1807.06635 [pdf, other]

Title: Multimatricvariate distribution under elliptical models

José A. Díaz-García, Frencisco J. Caro-Lopera

Comments: 13pages

Subjects: Statistics Theory (math.ST)

[1631] arXiv:1807.06646 [pdf, other]

Title: Stability of Steady Multi-Wave Configurations for the Full Euler Equations of Compressible Fluid Flow

Gui-Qiang G. Chen, Matthew Rigby

Comments: 9 figures;

Journal-ref: Acta Mathematica Scientia, 38B(5) (2018), 1485--1514

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

[1632] arXiv:1807.06648 [pdf, other]

Title: On a theorem of Bredihin and Linnik

J.B. Friedlander, H. Iwaniec

Subjects: Number Theory (math.NT)

[1633] arXiv:1807.06652 [pdf, other]

Title: From modelling of systems with constraints to generalized geometry and back to numerics

Vladimir Salnikov, Aziz Hamdouni

Comments: 19 pages, 6 figures

Subjects: Numerical Analysis (math.NA); Differential Geometry (math.DG)

[1634] arXiv:1807.06654 [pdf, other]

Title: Distinct Volume Subsets via Indiscernibles

William Gasarch, Douglas Ulrich

Comments: 15 pages

Subjects: Logic (math.LO)

[1635] arXiv:1807.06691 [pdf, other]

Title: Boundary connected sum of Escobar manifolds

Weiwei Ao, Maria del Mar Gonzalez, Yannick Sire

Subjects: Differential Geometry (math.DG)

[1636] arXiv:1807.06692 [pdf, other]

Title: A characterization of superreflexivity through embeddings of lamplighter groups

Mikhail I. Ostrovskii, Beata Randrianantoanina

Journal-ref: Proc. Amer. Math. Soc. 147 (2019), no. 11, 4745-4755

Subjects: Functional Analysis (math.FA); Group Theory (math.GR); Metric Geometry (math.MG)

[1637] arXiv:1807.06693 [pdf, other]

Title: Tensor Methods for Additive Index Models under Discordance and Heterogeneity

Krishnakumar Balasubramanian, Jianqing Fan, Zhuoran Yang

Subjects: Statistics Theory (math.ST); Methodology (stat.ME); Machine Learning (stat.ML)

[1638] arXiv:1807.06695 [pdf, other]

Title: Regularized Zero-Forcing Precoding Aided Adaptive Coding and Modulation for Large-Scale Antenna Array Based Air-to-Air Communications

Jiankang Zhang, Sheng Chen, Robert G. Maunder, Rong Zhang, Lajos Hanzo

Subjects: Information Theory (cs.IT)

[1639] arXiv:1807.06707 [pdf, other]

Title: Stochastic defense against complex grid attacks

Daniel Bienstock, Mauro Escobar

Journal-ref: IEEE Transactions on Control of Network Systems, vol. 7, no. 2, pp. 842-854, June 2020

Subjects: Optimization and Control (math.OC)

[1640] arXiv:1807.06709 [pdf, other]

Title: On the Dundas-Goodwillie-McCarthy theorem

Sam Raskin

Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

[1641] arXiv:1807.06710 [pdf, other]

Title: Digit sums and generating functions

Maxwell Schneider, Robert Schneider

Comments: 10 pages

Journal-ref: The Ramanujan Journal (2020): 1-12

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

[1642] arXiv:1807.06715 [pdf, other]

Title: Multivariate approximation in total variation using local dependence

A. D. Barbour, A. Xia

Comments: 39 pages, 4 figures

Subjects: Probability (math.PR)

[1643] arXiv:1807.06730 [pdf, other]

Title: Visualization of the convex integration solutions to the Monge-Amp\`ere equation

Luca Codenotti, Marta Lewicka

Subjects: Analysis of PDEs (math.AP)

[1644] arXiv:1807.06733 [pdf, other]

Title: $n$-abelian quotient categories

Panyue Zhou, Bin Zhu

Comments: 14 pages

Subjects: Representation Theory (math.RT)

[1645] arXiv:1807.06741 [pdf, other]

Title: $L^2$ harmonic forms and the Seiberg-Witten map on non compact four manifolds

Tsuyoshi Kato

Comments: The content of this article is contained in the new version

Subjects: Differential Geometry (math.DG)

[1646] arXiv:1807.06743 [pdf, other]

Title: A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices

Peter J. Forrester, Jesper R. Ipsen

Comments: 13 pages

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

[1647] arXiv:1807.06751 [pdf, other]

Title: On the Lane-Emden conjecture

Kui Li, Zhitao Zhang

Subjects: Analysis of PDEs (math.AP)

[1648] arXiv:1807.06760 [pdf, other]

Title: Complete $\lambda$-surfaces in $\mathbb R^3$

Qing-Ming Cheng, Guoxin Wei

Comments: 19 pages, comments are welcome

Subjects: Differential Geometry (math.DG)

[1649] arXiv:1807.06764 [pdf, other]

Title: A simplified threshold dynamics algorithm for isotropic surface energies

Tiago Salvador, Selim Esedoglu

Comments: 21 pages, 4 figures, 4 tables

Subjects: Numerical Analysis (math.NA)

[1650] arXiv:1807.06774 [pdf, other]

Title: Knapsack in hyperbolic groups

Markus Lohrey

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