Mathematics

Authors and titles for October 2022

[201] arXiv:2210.00792 [pdf, other]

Title: Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification

Linzhe Huang, Zhengwei Liu, Sebastien Palcoux, Jinsong Wu

Comments: 34 pages

Subjects: Operator Algebras (math.OA); Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA)

[202] arXiv:2210.00797 [pdf, other]

Title: Asymptotics of matrix valued orthogonal polynomials on $[-1,1]$

Alfredo Deaño, Arno B.J. Kuijlaars, Pablo Román

Comments: 48 pages, 8 figures. Some typos corrected in the last version

Subjects: Classical Analysis and ODEs (math.CA)

[203] arXiv:2210.00800 [pdf, other]

Title: Galois actions of finitely generated groups rarely have model companions

Özlem Beyarslan, Piotr Kowalski

Comments: Few typos corrected, added the part about free products

Subjects: Logic (math.LO)

[204] arXiv:2210.00809 [pdf, other]

Title: Stochastic differential equations driven by relative martingales

Fulgence Eyi Obiang, Paule Joyce Mbenangoya, Ibrahima Faye, Octave Moutsinga

Comments: 22 pages, 0 figure

Subjects: Probability (math.PR)

[205] arXiv:2210.00810 [pdf, other]

Title: Random rotor walks and i.i.d. sandpiles on Sierpinski graphs

Robin Kaiser, Ecaterina Sava-Huss

Comments: 13 pages, 3 figures; referee's suggestions implemented; to appear in Statistics and Probability Letters (2024)

Subjects: Probability (math.PR); Combinatorics (math.CO)

[206] arXiv:2210.00813 [pdf, html, other]

Title: A determinant for automorphisms of groups

Mattia Brescia

Subjects: Group Theory (math.GR)

[207] arXiv:2210.00816 [pdf, other]

Title: The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number

Aureliano M. Robles-Pérez, José Carlos Rosales

Comments: 11 pages; typos corrected

Journal-ref: Mediterr. J. Math. 20 (2023), Article No. 222

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

[208] arXiv:2210.00820 [pdf, other]

Title: A strange term coming from the boundary data

Aaron Pim

Comments: 10 pages, 0 figures

Subjects: Analysis of PDEs (math.AP)

[209] arXiv:2210.00827 [pdf, other]

Title: $C^*$-irreducibility of commensurated subgroups

Kang Li, Eduardo Scarparo

Comments: 10 pages. Minor changes. Accepted in Pacific Journal of Mathematics

Journal-ref: Pacific J. Math. 322 (2023) 369-380

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS); Group Theory (math.GR)

[210] arXiv:2210.00838 [pdf, html, other]

Title: Analysis of the primal-dual central path for nonlinear semidefinite optimization without the nondegeneracy condition

Takayuki Okuno

Subjects: Optimization and Control (math.OC)

[211] arXiv:2210.00839 [pdf, other]

Title: A recognition principle for iterated suspensions as coalgebras over the little cubes operad

Oisín Flynn-Connolly, José M. Moreno-Fernández, Felix Wierstra

Subjects: Algebraic Topology (math.AT)

[212] arXiv:2210.00855 [pdf, other]

Title: The spectrum of local random Hamiltonians

Benoit Collins, Zhi Yin, Liang Zhao, Ping Zhong

Comments: 22 pages

Journal-ref: Journal of Physics A: Mathematical and Theoretical (2023) 56, no. 3: 035201

Subjects: Mathematical Physics (math-ph); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[213] arXiv:2210.00860 [pdf, html, other]

Title: Ollivier Ricci curvature of Cayley graphs for dihedral groups, generalized quaternion groups, and cyclic groups

Iwao Mizukai, Akifumi Sako

Comments: Typos corrected

Subjects: Combinatorics (math.CO)

[214] arXiv:2210.00862 [pdf, other]

Title: On EMV-algebras with square roots

Anatolij Dvurečenskij, Omid Zahiri

Subjects: Rings and Algebras (math.RA); Commutative Algebra (math.AC)

[215] arXiv:2210.00865 [pdf, other]

Title: Near-optimal control of a stochastic SICA model with imprecise parameters

Houssine Zine, Delfim F. M. Torres

Comments: This is a preprint of a paper whose final and definite form is published in 'Commun. Optim. Theory'. Submitted 27-June-2022; Revised and Accepted 27-Sept-2022. In memory of Professor Jack Warga on the occasion of his 100th birthday

Journal-ref: Commun. Optim. Theory 2022 (2022), Art. ID 27, 1--18

Subjects: Optimization and Control (math.OC)

[216] arXiv:2210.00866 [pdf, other]

Title: Conformally related invariant $(\alpha,\beta)$-metrics on homogeneous spaces

Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam

Journal-ref: Quaestiones Mathematicae (2024)

Subjects: General Mathematics (math.GM)

[217] arXiv:2210.00871 [pdf, other]

Title: Introduction to Arnold's $J^+$-Invariant

Alexander Mai

Comments: 38 pages, 52 figures, for figure files see this https URL

Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[218] arXiv:2210.00873 [pdf, other]

Title: Rate and Noise-Induced Tipping Working in Concert

Katherine Slyman, Christopher K. Jones

Subjects: Dynamical Systems (math.DS)

[219] arXiv:2210.00874 [pdf, other]

Title: Stability Via Adversarial Training of Neural Network Stochastic Control of Mean-Field Type

Julian Barreiro-Gomez, Salah Eddine Choutri, Boualem Djehiche

Subjects: Optimization and Control (math.OC); Cryptography and Security (cs.CR); Machine Learning (cs.LG); Systems and Control (eess.SY); Probability (math.PR)

[220] arXiv:2210.00878 [pdf, other]

Title: A proof of Dunfield-Gukov-Rasmussen Conjecture

Anna Beliakova, Krzysztof K. Putyra, Louis-Hadrien Robert, Emmanuel Wagner

Comments: 62 pages. This is an improved version of arXiv:2112.02428

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

[221] arXiv:2210.00879 [pdf, other]

Title: Weighted means of harmonic functions and characterization of balls

Nikolay Kuznetsov

Comments: 7 pages, no figures

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[222] arXiv:2210.00880 [pdf, other]

Title: Regularity of Solutions for the Nonlocal Diffusion Equation on Periodic Distributions

Ilyas Mustapha, Bacim Alali, Nathan Albin

Subjects: Analysis of PDEs (math.AP)

[223] arXiv:2210.00885 [pdf, other]

Title: Extremal sections and projections of certain convex bodies: a survey

Piotr Nayar, Tomasz Tkocz

Comments: References updated. To appear in "Harmonic Analysis and Convexity"

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

[224] arXiv:2210.00887 [pdf, other]

Title: Normalized solutions for a biharmonic Choquard equation with exponential critical growth in $\mathbb{R}^4$

Wenjing Chen, Zexi Wang

Subjects: Analysis of PDEs (math.AP)

[225] arXiv:2210.00892 [pdf, other]

Title: Phase transition threshold and stability of magnetic skyrmions

Slim Ibrahim, Ikkei Shimizu

Comments: 12 pages

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

[226] arXiv:2210.00899 [pdf, other]

Title: Mean-field limits for entropic multi-population dynamical systems

Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino

Subjects: Analysis of PDEs (math.AP)

[227] arXiv:2210.00901 [pdf, html, other]

Title: On the Salient Limitations of the Methods of Assembly Theory and their Classification of Molecular Biosignatures

Abicumaran Uthamacumaran, Felipe S. Abrahão, Narsis A. Kiani, Hector Zenil

Journal-ref: npj Systems Biology and Applications, volume 10, number 82, year 2024

Subjects: Information Theory (cs.IT)

[228] arXiv:2210.00915 [pdf, other]

Title: Decomposition of Spaces of Periodic Functions into Subspaces of Periodic Functions and Subspaces of Antiperiodic Functions

Hailu Bikila Yadeta

Comments: 15 pages, 1 figure

Subjects: General Mathematics (math.GM)

[229] arXiv:2210.00916 [pdf, other]

Title: One Diamond to Rule Them All: Old and new topics about zigzag, levelsets and extended persistence

Nicolas Berkouk, Luca Nyckees

Subjects: Algebraic Topology (math.AT); Computational Geometry (cs.CG)

[230] arXiv:2210.00917 [pdf, other]

Title: A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction

Michele Bucelli, Martin Geraint Gabriel, Giacomo Gigante, Alfio Quarteroni, Christian Vergara

Subjects: Numerical Analysis (math.NA)

[231] arXiv:2210.00925 [pdf, other]

Title: A length comparison theorem for geodesic currents

Jenya Sapir

Comments: 46 pages, 29 figures. Added results on identifying short curves, thick subsurfaces of projection

Subjects: Geometric Topology (math.GT)

[232] arXiv:2210.00926 [pdf, other]

Title: Members of Narayana's cow sequence that are concatenations of two repdigits

Mahadi Ddamulira, Paul Emong, Geoffrey Ismail Mirumbe

Subjects: Number Theory (math.NT)

[233] arXiv:2210.00927 [pdf, other]

Title: Infinite homotopy stable class for 4-manifolds with boundary

Anthony Conway, Diarmuid Crowley, Mark Powell

Comments: v1: 12 pages. v2: 26 pages. The paper underwent a significant rewrite to account for a gap on page 3 of v1, related to whether the union of two spin manifolds is again spin. The main result of the paper is unaffected

Journal-ref: Pacific J. Math. 325 (2023) 209-237

Subjects: Geometric Topology (math.GT)

[234] arXiv:2210.00931 [pdf, html, other]

Title: A New Class of Path-Following Method for Time-Varying Optimization with Optimal Parametric Function

Mohsen Amidzadeh

Subjects: Optimization and Control (math.OC); Signal Processing (eess.SP)

[235] arXiv:2210.00952 [pdf, other]

Title: Subgroup collections controlling the homotopy type of a $p$-local compact group

Eva Belmont, Natàlia Castellana, Kathryn Lesh

Comments: 18 pages

Subjects: Algebraic Topology (math.AT)

[236] arXiv:2210.00966 [pdf, other]

Title: The geometry of the space of vortices on a two-sphere in the Bradlow limit

R.I. Garcia Lara, J.M. Speight

Comments: 19 pages, 0 figures. Minor corrections, accepted version

Subjects: Differential Geometry (math.DG)

[237] arXiv:2210.00967 [pdf, other]

Title: Strong non-vanishing of cohomologies and strong non-freeness of adjoint line bundles on $n$-Raynaud surfaces

Yongming Zhang

Comments: 12pages and all comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[238] arXiv:2210.00972 [pdf, other]

Title: Predictive density estimators with integrated $L_1$ loss

Pankaj Bhagwat, Eric Marchand

Comments: 20 pages, 3 figures

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

[239] arXiv:2210.00977 [pdf, other]

Title: Extended commonality of paths and cycles via Schur convexity

Jang Soo Kim, Joonkyung Lee

Comments: 10 pages

Subjects: Combinatorics (math.CO)

[240] arXiv:2210.00994 [pdf, other]

Title: Can One Perturb the Equatorial Zone on a Sphere with Larger Mean Curvature?

Baichuan Hu, Xiang Ma, Shengyang Wang

Comments: 29 pages, 11 figures. Comments welcome

Subjects: Differential Geometry (math.DG)

[241] arXiv:2210.00995 [pdf, other]

Title: Nilpotence and Duality in the Complete Cohomology of a Module

Jon F. Carlson

Comments: 15 pages, The Version of Record of this article is published in Beiträge zur Algebra und Geometrie and is available on line at this https URL

Journal-ref: Beitr. zur Algebra und Geomretrie 63 (2022) 547--660

Subjects: Representation Theory (math.RT)

[242] arXiv:2210.01009 [pdf, html, other]

Title: Scaling limit of a long-range random walk in time-correlated random environment

Guanglin Rang, Jian Song, Meng Wang

Comments: 39 pages. This is the final version

Subjects: Probability (math.PR)

[243] arXiv:2210.01013 [pdf, other]

Title: Rank 2 Amalgams and Fusion Systems

Martin van Beek

Comments: 178 pages. Comments welcome

Subjects: Group Theory (math.GR)

[244] arXiv:2210.01017 [pdf, other]

Title: Bilinear $\theta$-type Calder\'on-Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces

Suixin He, Shuangping Tao

Comments: 20 pages

Subjects: Functional Analysis (math.FA)

[245] arXiv:2210.01018 [pdf, other]

Title: On duality and model theory for polyadic spaces

Sam van Gool, Jérémie Marquès

Comments: 45 pages

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

[246] arXiv:2210.01028 [pdf, other]

Title: Bernstein-Sato polynomials of semi-weighted-homogeneous polynomials of nearly Brieskorn-Pham type

Morihiko Saito

Subjects: Algebraic Geometry (math.AG)

[247] arXiv:2210.01030 [pdf, other]

Title: The Answer to Baggett's Problem is Affirmative

Xingde Dai

Subjects: Functional Analysis (math.FA)

[248] arXiv:2210.01056 [pdf, other]

Title: Optimality of Zeno Executions in Hybrid Systems

William Clark, Maria Oprea

Comments: 6 pages, 9 figures. Comments welcome!

Subjects: Optimization and Control (math.OC)

[249] arXiv:2210.01059 [pdf, other]

Title: Refined Verlinde and Segre formula for Hilbert schemes

Lothar Göttsche, Anton Mellit

Comments: 36 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)

[250] arXiv:2210.01070 [pdf, other]

Title: Geometry of generalized virtual polyhedra

Askol dKhovanskii

Comments: 17 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)