Mathematics

Authors and titles for February 2022

[1] arXiv:2202.00039 [pdf, other]

Title: Geometric local systems on very general curves and isomonodromy

Aaron Landesman, Daniel Litt

Comments: 57 pages, comments welcome! Updated with various minor clarifications and improvements

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

[2] arXiv:2202.00048 [pdf, other]

Title: Single Time-scale Actor-critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees

Mo Zhou, Jianfeng Lu

Comments: 4 figures

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

[3] arXiv:2202.00052 [pdf, html, other]

Title: On flat manifold bundles and the connectivity of Haefliger's classifying spaces

Sam Nariman

Comments: This version is to appear in the Proceedings of the AMS

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

[4] arXiv:2202.00058 [pdf, other]

Title: Positive invariant regions for a modified Van Der Pol equation modeling heart action

A. Acosta, R. Gallo, P. García, D. Peluffo-Ordóñez

Subjects: Dynamical Systems (math.DS)

[5] arXiv:2202.00062 [pdf, other]

Title: Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties

Andrea Medaglia, Andrea Tosin, Mattia Zanella

Comments: 28 pages, 8 figures

Journal-ref: Partial Differ. Equ. Appl., 3(4):51, 2022

Subjects: Numerical Analysis (math.NA); Adaptation and Self-Organizing Systems (nlin.AO); Physics and Society (physics.soc-ph)

[6] arXiv:2202.00066 [pdf, other]

Title: On degrees in family of maps constructed via modular forms

Goran Muić

Subjects: Number Theory (math.NT)

[7] arXiv:2202.00072 [pdf, other]

Title: Kirchhoff type elliptic equations with double criticality in Musielak-Sobolev spaces

Shilpa Gupta, Gaurav Dwivedi

Comments: 16 pages, 0 figures

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:2202.00073 [pdf, other]

Title: On endomorphisms of the bicyclic semigroup and the extended bicyclic semigroup

Oleg Gutik, Oksana Prokhorenkova, Diana Sekh

Comments: 10 pages, in Ukrainian

Journal-ref: Visnyk of the Lviv University, Series Mechanics and Mathematics 92 (2021), 5-16

Subjects: Group Theory (math.GR)

[9] arXiv:2202.00074 [pdf, other]

Title: Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems

Tiangang Cui, Xin Tong, Olivier Zahm

Journal-ref: Inverse Problems 38 (2022) pp. 124002

Subjects: Numerical Analysis (math.NA)

[10] arXiv:2202.00083 [pdf, other]

Title: Stable submanifolds in the product of projective spaces

Alejandra Ramirez-Luna

Comments: 39 pages, 5 figures

Subjects: Differential Geometry (math.DG)

[11] arXiv:2202.00084 [pdf, other]

Title: Stone duality for spectral sheaves and the patch monad

Clemens Berger, Mai Gehrke

Comments: Final version

Journal-ref: Journal of Pure and Applied Algebra 227 (2023), 107306

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

[12] arXiv:2202.00085 [pdf, other]

Title: On the passage from finite braces to pre-Lie rings

Agata Smoktunowicz

Comments: arXiv admin note: text overlap with arXiv:2011.07611 Some assumptions were removed from Lemma 15 answering Question 3, also Question 3 was removed.A gap in the proof of Theorem 2 was corrected

Subjects: Rings and Algebras (math.RA)

[13] arXiv:2202.00092 [pdf, other]

Title: Geometric classification of total stability spaces

Yu Qiu, Xiaoting Zhang

Comments: Couple of changes of terminologies and much improvement of exhibition. 44 page with multiple large figures and hence Loading may take a minute

Subjects: Representation Theory (math.RT); Geometric Topology (math.GT)

[14] arXiv:2202.00098 [pdf, other]

Title: Greedy search of optimal approximate solutions

Martin Lazar, Enrique Zuazua

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2202.00099 [pdf, other]

Title: A Comparison of Different Approaches to Dynamic Origin-Destination Matrix Estimation in Urban Traffic

Nicklas Sindlev Andersen, Marco Chiarandini, Kristian Debrabant

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

[16] arXiv:2202.00106 [pdf, other]

Title: On the Strong Comparison Principle for Degenerate Elliptic Problems with Convection

Jiří Benedikt, Petr Girg, Lukáš Kotrla, Peter Takáč

Comments: 20 pages and 1 figure

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:2202.00110 [pdf, other]

Title: Proof of a conjecture on polynomials preserving nonnegative matrices

Raphael Loewy

Comments: 5 pages

Subjects: Rings and Algebras (math.RA)

[18] arXiv:2202.00121 [pdf, other]

Title: Reconstructing Braided Subcategories of $SU(N)_k$

Zhaobidan Feng, Eric C. Rowell, Shuang Ming

Subjects: Quantum Algebra (math.QA); Category Theory (math.CT)

[19] arXiv:2202.00131 [pdf, other]

Title: Smooth singular complexes and diffeological principal bundles

Hiroshi Kihara

Subjects: Algebraic Topology (math.AT)

[20] arXiv:2202.00135 [pdf, other]

Title: Central elements and the Gaeta topos: An algebraic and functorial overview on coextensive varieties

W.J. Zuluaga Botero

Subjects: Category Theory (math.CT); Logic (math.LO)

[21] arXiv:2202.00136 [pdf, other]

Title: Non-adaptive and two-stage coding over the Z-channel

Alexey Lebedev, Ilya Vorobyev, Vladimir Lebedev, Christian Deppe

Comments: Some references and known results, which were missed in the previous version, have been added

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

[22] arXiv:2202.00138 [pdf, other]

Title: Improving Access to Housing and Supportive Services for Runaway and Homeless Youth: Reducing Vulnerability to Human Trafficking in New York City

Yaren Bilge Kaya, Kayse Lee Maass, Geri L. Dimas, Renata Konrad, Andrew C. Trapp, Meredith Dank

Subjects: Optimization and Control (math.OC)

[23] arXiv:2202.00139 [pdf, other]

Title: The trace space of anisotropic least gradient functions depends on the anisotropy

Wojciech Górny

Comments: 23 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2202.00144 [pdf, other]

Title: An Adaptive sampling and domain learning strategy for multivariate function approximation on unknown domains

Ben Adcock, Juan M. Cardenas, Nick Dexter

Subjects: Numerical Analysis (math.NA)

[25] arXiv:2202.00148 [pdf, other]

Title: On the degree of approximation of continuous functions by a linear transformation of their Fourier series

Xhevat Z. Krasniqi

Comments: 11 pages

Journal-ref: Communications in Mathematics, Volume 30 (2022), Issue 1 (May 12, 2022) cm:9273

Subjects: Classical Analysis and ODEs (math.CA)

[26] arXiv:2202.00152 [pdf, other]

Title: The Morse equation in the Conley index theory for discrete multivalued dynamical systems

Bogdan Batko

Comments: Added references

Subjects: Dynamical Systems (math.DS); Algebraic Topology (math.AT); General Topology (math.GN)

[27] arXiv:2202.00157 [pdf, other]

Title: Teaching Predictive Control Using Specification-based Summative Assessments

Ian McInerney, Eric C. Kerrigan

Comments: Accepted for presentation at the 13th IFAC Symposium on Advances in Control Education in Hamburg Bergedorf, Germany

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[28] arXiv:2202.00163 [pdf, other]

Title: Variants of normality and steadfastness deform

Alexander Bauman, Havi Ellers, Gary Hu, Takumi Murayama, Sandra Nair, Ying Wang

Comments: 22 pages. Comments welcome! v2: Minor changes

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[29] arXiv:2202.00169 [pdf, other]

Title: Trajectories of charged particles in knotted electromagnetic fields

Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa

Comments: v1: 13 pages with 13 figures (multiple subfigures). v2: one new figure, Mathematica Notebook linked, published version

Subjects: Mathematical Physics (math-ph)

[30] arXiv:2202.00175 [pdf, other]

Title: Ground Experiment of Full-Duplex Multi-UAV System Enabled by Directional Antennas

Tao Yu, Kiyomichi Araki, Kei Sakaguchi

Comments: This paper was accepted by IEEE Annual Computing and Communication Workshop and Conference (CCWC) 2022

Subjects: Information Theory (cs.IT)

[31] arXiv:2202.00176 [pdf, other]

Title: Full-Duplex Aerial Communication System for Multiple UAVs with Directional Antennas

Tao Yu, Kiyomichi Araki, Kei Sakaguchi

Comments: The paper was accepted by IEEE Consumer Communications & Networking Conference (CCNC) 2022

Subjects: Information Theory (cs.IT)

[32] arXiv:2202.00177 [pdf, other]

Title: Spectrum Sharing between Directional-Antenna- Equipped UAV System and Terrestrial Systems

Tao Yu, Kento Kajiwara, Kiyomichi Araki, Kei Sakaguchi

Comments: This paper was accepted by IEEE Annual Computing and Communication Workshop and Conference (CCWC) 2022

Subjects: Information Theory (cs.IT)

[33] arXiv:2202.00188 [pdf, html, other]

Title: Rethinking the notion of oracle: A prequel to Lawvere-Tierney topologies for computability theorists

Takayuki Kihara

Comments: The previous version was titled "Rethinking the notion of oracle: A link between synthetic descriptive set theory and effective topos theory"

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

[34] arXiv:2202.00189 [pdf, other]

Title: New formulas for moments and functions of the multivariate normal distribution extending Stein's lemma and Isserlis theorem

Konstantinos Mamis

Comments: 16 pages

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

[35] arXiv:2202.00190 [pdf, other]

Title: Sketching stochastic valuation functions

Milan Vojnovi\' c, Yiliu Wang

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

[36] arXiv:2202.00191 [pdf, other]

Title: Underapproximation by Egyptian fractions

Melvyn B. Nathanson

Comments: 20 pages, minor corrections

Journal-ref: Journal of Number Theory 242 (2023), 208--234

Subjects: Number Theory (math.NT)

[37] arXiv:2202.00192 [pdf, other]

Title: Tight Cuts in Bipartite Grafts I: Capital Distance Components

Nanao Kita

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

[38] arXiv:2202.00196 [pdf, other]

Title: Hyperbolicity of varieties with big linear representation of $\pi_1$

Ruiran Sun

Comments: 13 pages. Comments welcome. Section 3 simplified

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

[39] arXiv:2202.00197 [pdf, other]

Title: Playing impartial games on a simplicial complex as an extension of the emperor sum theory

Koki Suetsugu

Comments: 5 pages

Subjects: Combinatorics (math.CO)

[40] arXiv:2202.00208 [pdf, other]

Title: A Structure Theorem for Bad 3-Orbifolds

R Lehman, Yo'av Rieck

Comments: 20 pages

Subjects: Geometric Topology (math.GT)

[41] arXiv:2202.00212 [pdf, other]

Title: Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them

Yo'av Rieck

Comments: 19 pages

Subjects: Group Theory (math.GR)

[42] arXiv:2202.00213 [pdf, other]

Title: Criterion of nonsolvability of a finite group and recognition of direct squares of simple groups

Zh. Wang, A. V. Vasil'ev, M. A. Grechkoseeva, A. Kh. Zhurtov

Comments: In the third version, Theorem 1 is slightly reformulated and some references are corrected

Journal-ref: Algebra and Logic (2023), v. 61, no. 4, 288-300

Subjects: Group Theory (math.GR)

[43] arXiv:2202.00214 [pdf, other]

Title: The combinatorics of hopping particles and positivity in Markov chains

Lauren K. Williams

Comments: 16 pages, 10 figures, 6 tables

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

[44] arXiv:2202.00215 [pdf, other]

Title: On the rank of $\pi_1(\mathrm{Symp}_0)$

Isaac Hasse-Armengol, Andrés Pedroza

Comments: Error in the section 2, in the construction of a loop of sympletic diffeomorphisms

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT)

[45] arXiv:2202.00219 [pdf, other]

Title: Approximating Absolute Galois Groups

Gunnar Carlsson, Roy Joshua

Comments: 13 pages. To appear in Journal of Pure and Applied Algebra

Subjects: K-Theory and Homology (math.KT); Group Theory (math.GR)

[46] arXiv:2202.00223 [pdf, other]

Title: Characterizing Oscillations in Heterogeneous Populations of Coordinators and Anticoordinators

Pouria Ramazi, Mohammad Hossein Roohi

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[47] arXiv:2202.00238 [pdf, other]

Title: $\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds

Yuanyuan Bao, Noboru Ito

Comments: 18 pages. Comments are welcome

Subjects: Geometric Topology (math.GT)

[48] arXiv:2202.00240 [pdf, other]

Title: A Criterion for Decoding on the BSC

Anup Rao, Oscar Sprumont

Comments: Corrected a citation mistake

Subjects: Information Theory (cs.IT)

[49] arXiv:2202.00241 [pdf, other]

Title: E-Polynomials and Terwilliger algebra related to codes

Nur Hamid

Subjects: Number Theory (math.NT)

[50] arXiv:2202.00248 [pdf, other]

Title: Entanglement-Assisted Quantum Error-Correcting Codes over Local Frobenius Rings

Tania Sidana, Navin Kashyap

Comments: Extended version of the ISIT 2022 paper, DOI: https://doi.org/10.1109/ISIT50566.2022.9834381. Additions and corrections made in version v4. In particular, Section 6 is added and Section 3 is rewritten

Subjects: Information Theory (cs.IT); Quantum Physics (quant-ph)