Mathematics

Authors and titles for November 2022

[151] arXiv:2211.00767 [pdf, other]

Title: Over-the-Air Computation for Distributed Systems: Something Old and Something New

Zheng Chen, Erik G. Larsson, Carlo Fischione, Mikael Johansson, Yura Malitsky

Comments: 7 pages, 3 figures, to appear in IEEE Network Magazine

Subjects: Information Theory (cs.IT); Networking and Internet Architecture (cs.NI); Signal Processing (eess.SP)

[152] arXiv:2211.00769 [pdf, html, other]

Title: Instability of electroweak homogeneous vacua in strong magnetic fields

Adam Gardner, Israel Michael Sigal

Subjects: Mathematical Physics (math-ph)

[153] arXiv:2211.00773 [pdf, other]

Title: Constructions and Isotopies of High-Dimensional Legendrian Spheres

Agniva Roy

Comments: 32 pages, 15 figures

Subjects: Symplectic Geometry (math.SG); Geometric Topology (math.GT)

[154] arXiv:2211.00774 [pdf, html, other]

Title: On distribution of runs and patterns in four state trials

Jungtaek Oh

Subjects: Probability (math.PR); Combinatorics (math.CO); Other Statistics (stat.OT)

[155] arXiv:2211.00782 [pdf, html, other]

Title: Inertia groups of $(n-1)$-connected $2n$-manifolds

Andrew Senger, Adela YiYu Zhang

Comments: v2: some improvements and minor corrections. Now 38 pages; comments still welcome!

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

[156] arXiv:2211.00788 [pdf, other]

Title: Quantum K-invariants and Gopakumar--Vafa invariants I. The quintic threefold

You-Cheng Chou, Y.-P. Lee

Subjects: Algebraic Geometry (math.AG)

[157] arXiv:2211.00796 [pdf, other]

Title: A Space-time Nonlocal Traffic Flow Model: Relaxation Representation and Local Limit

Qiang Du, Kuang Huang, James Scott, Wen Shen

Comments: 32 pages

Journal-ref: Discrete and Continuous Dynamical Systems, 2023, 43(9): 3456-3484

Subjects: Analysis of PDEs (math.AP)

[158] arXiv:2211.00797 [pdf, other]

Title: Node repair on connected graphs, Part II

Adway Patra, Alexander Barg

Subjects: Information Theory (cs.IT)

[159] arXiv:2211.00800 [pdf, other]

Title: Aut-invariant quasimorphisms on groups

Francesco Fournier-Facio, Richard D. Wade

Comments: 20 pages. v2: added Corollary F, Section 5.4 and Section 6.3. To appear in Transactions of the AMS

Subjects: Group Theory (math.GR)

[160] arXiv:2211.00806 [pdf, other]

Title: Optical Channel Impulse Response-Based Localization Using An Artificial Neural Network

Hamid Hosseinianfar, Hami Rabbani, Maite Brandt-Pearce

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

[161] arXiv:2211.00814 [pdf, other]

Title: Lyapunov-Barrier Characterization of Robust Reach-Avoid-Stay Specifications for Hybrid Systems

Yiming Meng, Jun Liu

Subjects: Dynamical Systems (math.DS)

[162] arXiv:2211.00820 [pdf, other]

Title: A new method for determining Wasserstein 1 optimal transport maps from Kantorovich potentials, with deep learning applications

Tristan Milne, Étienne Bilocq, Adrian Nachman

Comments: 25 pages, 12 figures. The TTC algorithm detailed here is a simplified and improved version of that of arXiv:2111.15099

Subjects: Optimization and Control (math.OC); Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE)

[163] arXiv:2211.00834 [pdf, other]

Title: Singularity degree of non-facially exposed faces

Fei Wang, Henry Wolkowicz

Subjects: Optimization and Control (math.OC)

[164] arXiv:2211.00835 [pdf, other]

Title: The degree-restricted random process is far from uniform

Michael Molloy, Erlang Surya, Lutz Warnke

Comments: 32 pages, 3 figures

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Probability (math.PR)

[165] arXiv:2211.00836 [pdf, other]

Title: Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations

Wenhui Chen, Ryo Ikehata

Subjects: Analysis of PDEs (math.AP)

[166] arXiv:2211.00840 [pdf, other]

Title: Effective de la Valle Poussin style bounds on the first Chebyshev function

Matt Visser (Victoria University of Wellington)

Comments: 7 pages, no figures

Subjects: Number Theory (math.NT)

[167] arXiv:2211.00842 [pdf, other]

Title: Delivery by Drones with Arbitrary Energy Consumption Models: A New Formulation Approach

Amir Ahmadi-Javid, Mahla Meskar

Subjects: Optimization and Control (math.OC); Computational Engineering, Finance, and Science (cs.CE); Discrete Mathematics (cs.DM)

[168] arXiv:2211.00852 [pdf, other]

Title: A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility

Dianming Hou, Lili Ju, Zhonghua Qiao

Comments: 28pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[169] arXiv:2211.00853 [pdf, other]

Title: Questions about extreme points

Konstantin M. Dyakonov

Comments: 10 pages

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

[170] arXiv:2211.00855 [pdf, other]

Title: Michael-Simon type inequalities in hyperbolic space $\mathbb{H}^{n+1}$ via Brendle-Guan-Li's flows

Jingshi Cui, Peibiao Zhao

Comments: 14 pages

Subjects: Differential Geometry (math.DG)

[171] arXiv:2211.00862 [pdf, other]

Title: Pictures of compact Lie groups (after Serre)

Skip Garibaldi

Comments: v2: Added references to papers by G. Lachaud

Subjects: Group Theory (math.GR); Representation Theory (math.RT)

[172] arXiv:2211.00865 [pdf, other]

Title: On the cohomological triviality of the center of the Frattini subgroup

Jaime Calles, José Cantarero, Juan Omar Gómez, Gustavo Ortega

Comments: 13 pages, comments are welcome

Subjects: Group Theory (math.GR)

[173] arXiv:2211.00866 [pdf, other]

Title: Gradient Descent and the Power Method: Exploiting their connection to find the leftmost eigen-pair and escape saddle points

Rachael Tappenden, Martin Takáč

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[174] arXiv:2211.00867 [pdf, other]

Title: Heavy-Tailed Pitman--Yor Mixture Models

Vianey Palacios Ramirez, Miguel de Carvalho, Luis Gutierrez Inostroza

Comments: 24 pages

Subjects: Statistics Theory (math.ST)

[175] arXiv:2211.00874 [pdf, other]

Title: Age of Information of Multi-user Mobile Edge Computing Systems

Zhifeng Tang, Zhuo Sun, Nan Yang, Xiangyun Zhou

Subjects: Information Theory (cs.IT)

[176] arXiv:2211.00876 [pdf, other]

Title: Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming: Part I

Benjamin Beach, Robert Burlacu, Andreas Bärmann, Lukas Hager, Robert Hildebrand

Subjects: Optimization and Control (math.OC)

[177] arXiv:2211.00885 [pdf, other]

Title: Residue functions and Extension problems

Tsz On Mario Chan

Comments: 10 pages; v2: minor changes and updates to some citations and references

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

[178] arXiv:2211.00886 [pdf, other]

Title: Elliptic asymptotics for the complete third Painlev\'e transcendents

Shun Shimomura

Comments: 38 pages. arXiv admin note: substantial text overlap with arXiv:2207.11495

Subjects: Classical Analysis and ODEs (math.CA)

[179] arXiv:2211.00891 [pdf, other]

Title: New quantum codes from self-dual codes over F_4

Reza Dastbasteh, Petr Lisonek

Comments: 16 pages

Subjects: Information Theory (cs.IT); Number Theory (math.NT)

[180] arXiv:2211.00892 [pdf, other]

Title: A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems

Wangtao Lu, Liwei Xu, Tao Yin, Lu Zhang

Comments: 19 pages, 16 figures

Subjects: Numerical Analysis (math.NA)

[181] arXiv:2211.00897 [pdf, other]

Title: On the equivalence of linear cyclic and constacyclic codes

Reza Dastbasteh, Petr Lisonek

Comments: 18 pages

Subjects: Information Theory (cs.IT); Number Theory (math.NT)

[182] arXiv:2211.00904 [pdf, other]

Title: A family of quantum walks on a finite graph corresponding to the generalized weighted zeta function

Ayaka Ishikawa

Subjects: Combinatorics (math.CO); Quantum Physics (quant-ph)

[183] arXiv:2211.00908 [pdf, other]

Title: Two remarks on spaces of maps between operads of little cubes

Geoffroy Horel, Manuel Krannich, Alexander Kupers

Comments: 10 pages; v2: corrected minor oversight

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)

[184] arXiv:2211.00913 [pdf, other]

Title: A unified approach to global solvability for FBSDEs with diagonal generators

Tianjiao Hua, Peng Luo

Subjects: Probability (math.PR)

[185] arXiv:2211.00916 [pdf, other]

Title: Hyperbolic and Bi-hyperbolic solutions in the planar restricted $(N+1)$-body problem

Guowei Yu

Comments: 37 pages, 4 figures; Comments are welcome!

Subjects: Dynamical Systems (math.DS)

[186] arXiv:2211.00926 [pdf, other]

Title: On projective varieties of general type with many global k-forms

Meng Chen, Zhi Jiang

Comments: 43 pages. A new result is added as an interesting application of Section 2: $\text{Vol}(X)\geq 1/420$ optimally holds for any nonsingular projective $3$-fold $X$ of general type with $χ(\mathcal{O}_X)\neq 2,3$

Subjects: Algebraic Geometry (math.AG)

[187] arXiv:2211.00934 [pdf, other]

Title: A generic stochastic network flow formulation for production optimization of district heating systems

Daniela Guericke, Amos Schledorn, Henrik Madsen

Subjects: Optimization and Control (math.OC)

[188] arXiv:2211.00935 [pdf, other]

Title: Affine Noetherian algebras, filtrations and presentations

Be'eri Greenfeld

Comments: Accepted for publication in Proc. Amer. Math. Soc

Subjects: Rings and Algebras (math.RA)

[189] arXiv:2211.00936 [pdf, other]

Title: Local Well-posedness of Unsteady Potential Flows Near a Space Corner of Right Angle

Beixiang Fang, Wei Xiang, Feng Xiao

Subjects: Analysis of PDEs (math.AP)

[190] arXiv:2211.00944 [pdf, other]

Title: The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound

Wenhui Chen, Yan Liu, Alessandro Palmieri, Xulong Qin

Comments: Blow-up for the inviscid model (or the JMGT equation in the critical case) is added

Subjects: Analysis of PDEs (math.AP)

[191] arXiv:2211.00949 [pdf, other]

Title: Gaps and approximations in the space of growth functions

Be'eri Greenfeld

Comments: arXiv admin note: text overlap with arXiv:2005.02019

Subjects: Rings and Algebras (math.RA)

[192] arXiv:2211.00950 [pdf, other]

Title: Arithmetically Cohen--Macaulay bundles on homogeneous varieties of Picard rank one

Yusuke Nakayama

Comments: 13 pages

Subjects: Algebraic Geometry (math.AG)

[193] arXiv:2211.00953 [pdf, html, other]

Title: Towards understanding CG and GMRES through examples

Erin Carson, Jörg Liesen, Zdeněk Strakoš

Comments: 56 pages

Subjects: Numerical Analysis (math.NA)

[194] arXiv:2211.00954 [pdf, other]

Title: Thickness theorems with partial derivatives

Kan Jiang

Comments: In this version, we give some solutions to the Fermat's equation on some self-similar sets. Moreover, we also offer a simple criterion which can judge whether two scaled Cantor sets have non-empty intersection

Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)

[195] arXiv:2211.00959 [pdf, other]

Title: Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds

Marcin Sroka

Comments: Exposition revised, references added, typos corrected

Journal-ref: Calc. Var. 63, 102 (2024)

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

[196] arXiv:2211.00965 [pdf, other]

Title: An inverse spectral problem for non-compact Hankel operators with simple spectrum

Patrick Gérard, Alexander Pushnitski, Sergei Treil

Comments: Minor revision to the text. To appear in Journal d'Analyse Mathematique

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[197] arXiv:2211.00979 [pdf, other]

Title: Characteristic polynomials and finitely dimensional representations of simple Lie Algebras

Amin Geng, Shoumin Liu, Xumin Wang

Comments: 16

Subjects: Representation Theory (math.RT)

[198] arXiv:2211.00983 [pdf, other]

Title: A scale-coupled numerical method for transient close-contact melting

Leonardo Boledi, Fabian Key, Benjamin Terschanski, Stefanie Elgeti, Julia Kowalski

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[199] arXiv:2211.00984 [pdf, other]

Title: T-coercivity for solving Stokes problem with nonconforming finite elements

Erell Jamelot (STMF)

Subjects: Analysis of PDEs (math.AP)

[200] arXiv:2211.00986 [pdf, other]

Title: Matrix Denoising with Partial Noise Statistics: Optimal Singular Value Shrinkage of Spiked F-Matrices

Matan Gavish, William Leeb, Elad Romanov

Journal-ref: Information and Inference: A Journal of the IMA, Volume 12, Issue 3, September 2023, iaad028

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