Mathematics

Authors and titles for July 2018

[901] arXiv:1807.03676 [pdf, other]

Title: Remarks on the nonlocal Dirichlet problem

Tomasz Grzywny, Moritz Kassmann, Łukasz Leżaj

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP)

[902] arXiv:1807.03677 [pdf, other]

Title: On the Dehn functions of K\"ahler groups

Claudio Llosa Isenrich, Romain Tessera

Comments: 15 pages, V2: Minor corrections and improvements to the exposition. Final accepted version, to appear in Groups, Geometry, and Dynamics

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Group Theory (math.GR)

[903] arXiv:1807.03678 [pdf, other]

Title: On the choice of weight functions for linear representations of persistence diagrams

Vincent Divol, Wolfgang Polonik

Journal-ref: J Appl. and Comput. Topology 3, 249-283 (2019)

Subjects: Probability (math.PR); Computational Geometry (cs.CG)

[904] arXiv:1807.03679 [pdf, other]

Title: Steady free surface potential flow of an ideal fluid due to a singular sink on the flat bottom

Anastasia A. Mestnikova, Victor N. Starovoitov

Subjects: Analysis of PDEs (math.AP)

[905] arXiv:1807.03680 [pdf, other]

Title: On the s-injectivity of the X-ray transform on manifolds with hyperbolic trapped set

Thibault Lefeuvre

Comments: 24 pages, 2 figures. Theorem 1.2 improved thanks to a referee's suggestion: the condition "I^e_m is s-injective" is relaxed to "I_m is s-injective"

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

[906] arXiv:1807.03700 [pdf, other]

Title: Lie symmetries methods in boundary crossing problems for diffusion processes

Dmitry Muravey

Subjects: Probability (math.PR)

[907] arXiv:1807.03705 [pdf, other]

Title: Decision making under uncertainty using imprecise probabilities

Matthias C. M. Troffaes

Comments: 11 pages

Journal-ref: International Journal of Approximate Reasoning 45 (2007) 17-29

Subjects: Probability (math.PR); Methodology (stat.ME)

[908] arXiv:1807.03706 [pdf, other]

Title: H\"older Conditions of Local Times and Exact Moduli of non-differentiability for Spherical Gaussian fields

Xiaohong Lan, Yimin Xiao

Comments: 23 pages

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[909] arXiv:1807.03712 [pdf, other]

Title: Certified dimension reduction in nonlinear Bayesian inverse problems

Olivier Zahm, Tiangang Cui, Kody Law, Alessio Spantini, Youssef Marzouk

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

[910] arXiv:1807.03714 [pdf, other]

Title: Counting fixed points free vector fields on $\mathbb{B}^{2}$

Simeon T. Stefanov

Comments: 14 pages, 11 figures

Subjects: Geometric Topology (math.GT); Combinatorics (math.CO)

[911] arXiv:1807.03726 [pdf, other]

Title: Unit distance graphs and algebraic integers

Danylo Radchenko

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

[912] arXiv:1807.03727 [pdf, other]

Title: Geometric realization of the almost-extreme Khovanov homology of semiadequate links

Józef H. Przytycki, Marithania Silvero

Comments: 13 pages, 7 figures, 3 tables

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

[913] arXiv:1807.03728 [pdf, other]

Title: A second-order asymptotic-preserving and positivity-preserving exponential Runge-Kutta method for a class of stiff kinetic equations

Jingwei Hu, Ruiwen Shu

Subjects: Numerical Analysis (math.NA)

[914] arXiv:1807.03736 [pdf, other]

Title: Commutative cocycles and stable bundles over surfaces

Daniel A. Ramras, Bernardo Villarreal

Comments: 26 pages. Minor revisions. This version has been accepted for publication in Forum Math

Subjects: Algebraic Topology (math.AT)

[915] arXiv:1807.03738 [pdf, other]

Title: The Omega spectrum for Pengelley's BoP

W. Stephen Wilson

Comments: Tweaks in response to the referee's report. Theorem numbers change

Subjects: Algebraic Topology (math.AT)

[916] arXiv:1807.03742 [pdf, other]

Title: The explicit geometric constructions of bordism of Milnor hypersurface $H_{1,n}$ and $\mathbb{C} P^1\times \mathbb{C} P^{n-1}$

Grigory Solomadin

Comments: Minor typos corrected, added outline of main result. 10 pages, 1 figure

Subjects: Algebraic Topology (math.AT)

[917] arXiv:1807.03743 [pdf, other]

Title: Algebraic Voting Theory & Representations of $S_m \wr S_n$

Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad, Erin McNicholas, Kathryn Nyman, Shira Viel

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

[918] arXiv:1807.03744 [pdf, other]

Title: Enhanced Diffusivity in Perturbed Senile Reinforced Random Walk Models

Thu Dinh, Jack Xin

Subjects: Probability (math.PR)

[919] arXiv:1807.03745 [pdf, other]

Title: On the Performance of NOMA with Hybrid ARQ

Donghong Cai, Zhiguo Ding, Pingzhi Fan, Zheng Yang

Subjects: Information Theory (cs.IT)

[920] arXiv:1807.03761 [pdf, other]

Title: The second moment of the number of integral points on elliptic curves is bounded

Levent Alpöge, Wei Ho

Comments: Generalized to $S$-integral points (from integral points) and to elliptic curves defined over any number field (from $\mathbb{Q}$). Added arguments (Section 5) to treat new equality cases. 23 pages. Comments welcome!

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

[921] arXiv:1807.03763 [pdf, other]

Title: Suburban Fixed Wireless Access Channel Measurements and Models at 28 GHz for 90% Outdoor Coverage

Jinfeng Du, Dmitry Chizhik, Rodolfo Feick, Mauricio Rodriguez, Guillermo Castro, Reinaldo. A. Valenzuela

Comments: This work was presented in part at 2018 IEEE Symposium on Antennas and Propagation, Boston, MA, Jul. 2018

Journal-ref: IEEE Transactions on Antennas and Propagation. Date of IEEE online Publication: 19 August 2019

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[922] arXiv:1807.03764 [pdf, other]

Title: Tower Diagrams and Pieri's Rule

Olcay Coşkun, Müge Taşkın

Comments: 19 pages

Subjects: Combinatorics (math.CO)

[923] arXiv:1807.03767 [pdf, other]

Title: Construction and Decoding Algorithms for for Polar Codes based on $2\times2$ Non-Binary Kernels

Peihong Yuan, Fabian Steiner

Subjects: Information Theory (cs.IT)

[924] arXiv:1807.03768 [pdf, other]

Title: Induced subgraphs of graphs with large chromatic number. XIII. New brooms

Alex Scott, Paul Seymour

Subjects: Combinatorics (math.CO)

[925] arXiv:1807.03769 [pdf, other]

Title: Kernel-Based Learning for Smart Inverter Control

Aditie Garg, Mana Jalali, Vassilis Kekatos, Nikolaos Gatsis

Comments: Submitted to the 2018 IEEE Global Signal and Information Processing Conf., Symposium on Smart Energy Infrastructures

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Systems and Control (eess.SY); Machine Learning (stat.ML)

[926] arXiv:1807.03775 [pdf, other]

Title: Probability laws for the distribution of geometric lengths when sampling by a random walk in a Fuchsian fundamental group

Peter S. Park

Comments: Expository

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS); Group Theory (math.GR); Number Theory (math.NT); Probability (math.PR)

[927] arXiv:1807.03780 [pdf, other]

Title: Characterizations of norm--parallelism in spaces of continuous functions

Ali Zamani

Comments: to appear in Bulletin of the Iranian Mathematical Society

Subjects: Functional Analysis (math.FA)

[928] arXiv:1807.03782 [pdf, other]

Title: On Topological Approaches to the Jacobian Conjecture in $\mathbb{C}^n$

Francisco Braun, Luis Renato G. Dias, Jean Venato-Santos

Journal-ref: Proceedings of the Edinburgh Mathematical Society, 2020

Subjects: Algebraic Geometry (math.AG)

[929] arXiv:1807.03783 [pdf, other]

Title: The asymptotic behaviors of self excitation information diffusion processes for a large number of individuals

Lifu Wang, Bo Shen

Comments: 16 pages,3 figures

Subjects: Probability (math.PR); Computers and Society (cs.CY); Social and Information Networks (cs.SI)

[930] arXiv:1807.03814 [pdf, other]

Title: Lipschitz free spaces on finite metric spaces

Stephen J. Dilworth, Denka Kutzarova, Mikhail I. Ostrovskii

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

[931] arXiv:1807.03815 [pdf, other]

Title: On the Fourier Analysis of Measures with Meyer Set Support

Nicolae Strungaru

Comments: 29 pages

Journal-ref: J. Funct. Anal. 278, 108404, 30 pp, 2020

Subjects: Mathematical Physics (math-ph)

[932] arXiv:1807.03822 [pdf, other]

Title: More about cofinally complete metric spaces

Lipsy, Manisha Aggarwal, S. Kundu

Subjects: General Topology (math.GN)

[933] arXiv:1807.03826 [pdf, other]

Title: Almost periodic solutions of periodic linear partial functional differential equations

Vu Trong Luong, Nguyen Van Minh

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[934] arXiv:1807.03828 [pdf, other]

Title: Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line

Vu Trong Luong, Nguyen Huu Tri, Nguyen Van Minh

Comments: arXiv admin note: text overlap with arXiv:1807.03826

Subjects: Dynamical Systems (math.DS)

[935] arXiv:1807.03829 [pdf, other]

Title: A theoretical framework of the scaled Gaussian stochastic process in prediction and calibration

Mengyang Gu, Fangzheng Xie, Long Wang

Subjects: Statistics Theory (math.ST)

[936] arXiv:1807.03830 [pdf, other]

Title: Cohomology Rings of a Class of Torus Manifolds

Soumen Sarkar, Donald Stanley

Comments: 21 pages, 3 figures, Introduction has been revised, please let us know your comments

Subjects: Algebraic Topology (math.AT)

[937] arXiv:1807.03832 [pdf, other]

Title: A Family of Entropy-Conservative Flux Functions for the Euler Equations

Jason Edward Hicken, Jared Crean

Comments: Further numerical tests revealed that the flux is not high-order accurate (it is limited to 2nd order) despite the theoretical results. The source of this problem is believed to be related to finite-precision arithmetic, but further study is needed

Subjects: Numerical Analysis (math.NA)

[938] arXiv:1807.03834 [pdf, other]

Title: Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

Chih-Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk

Subjects: Representation Theory (math.RT)

[939] arXiv:1807.03836 [pdf, other]

Title: Perturbation and stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

Mohamed Rossafi, Abdellatif Akhlidj

Subjects: Functional Analysis (math.FA)

[940] arXiv:1807.03849 [pdf, other]

Title: No percolation at criticality

Achillefs Tzioufas

Comments: there is an error in 11

Subjects: Probability (math.PR)

[941] arXiv:1807.03851 [pdf, other]

Title: An index of strongly Callias operators on Lorentzian manifolds with non-compact boundary

Maxim Braverman

Comments: minor corrections, to appear in Mathematische Zeitschrift

Subjects: Differential Geometry (math.DG)

[942] arXiv:1807.03854 [pdf, other]

Title: Polarised Lie groups contactomorphic to stratified groups

Sebastiano Nicolussi, Alessandro Ottazzi

Comments: 20 pages; changes from previous version: reorganization of the paper and improvements in the exposition of the results

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)

[943] arXiv:1807.03856 [pdf, other]

Title: Balian-Low Theorems in Several Variables

Michael Northington V, Josiah Park

Comments: To appear in Approximation Theory 16 conference proceedings volume

Subjects: Classical Analysis and ODEs (math.CA)

[944] arXiv:1807.03859 [pdf, other]

Title: Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes

Douglas R. Anderson

Comments: Preliminary Report, 15 pages

Subjects: Classical Analysis and ODEs (math.CA)

[945] arXiv:1807.03872 [pdf, other]

Title: Effects of Some Lattice Reductions on the Success Probability of the Zero-Forcing Decoder

Jinming Wen, Chao Tong, Shi Bai

Comments: IEEE Communications Letters, 20(2016), 2031-2034

Subjects: Information Theory (cs.IT)

[946] arXiv:1807.03875 [pdf, other]

Title: Cohomology of Quotients in Real Symplectic Geometry

Thomas John Baird, Nasser Heydari

Comments: 29 pages

Journal-ref: Algebr. Geom. Topol. 22 (2022) 3249-3276

Subjects: Symplectic Geometry (math.SG)

[947] arXiv:1807.03879 [pdf, other]

Title: Expansion in simple groups

Emmanuel Breuillard, Alexander Lubotzky

Comments: survey paper, 22 pages

Subjects: Group Theory (math.GR)

[948] arXiv:1807.03883 [pdf, other]

Title: Ap\'ery-like numbers and families of newforms with complex multiplication

Alexis Gomez, Dermot McCarthy, Dylan Young

Subjects: Number Theory (math.NT)

[949] arXiv:1807.03884 [pdf, other]

Title: Modular forms on $G_2$ and their standard $L$-function

Aaron Pollack

Subjects: Number Theory (math.NT)

[950] arXiv:1807.03889 [pdf, other]

Title: Uniformly consistently estimating the proportion of false null hypotheses via Lebesgue-Stieltjes integral equations

Xiongzhi Chen

Comments: 44 pages in single spacing; 5 figures; proofs moved to supplementary materials; extended Introduction and Discussion; added a Simulation Study; accepted by Journal of Multivariate Analysis

Journal-ref: Journal of Multivariate Analysis, 2019

Subjects: Probability (math.PR); Classical Analysis and ODEs (math.CA); Methodology (stat.ME)