Mathematics

Authors and titles for December 2022

[1801] arXiv:2212.09106 [pdf, other]

Title: $L_{1}$- Properties of vector-valued Banach algebras

Maryam Aghakoochaki, Ali Rejali

Comments: arXiv admin note: text overlap with arXiv:2212.06131

Subjects: Functional Analysis (math.FA)

[1802] arXiv:2212.09110 [pdf, other]

Title: On an inverse boundary problem for mean field games

Hongyu Liu, Shen Zhang

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[1803] arXiv:2212.09111 [pdf, html, other]

Title: Stationary measure for six-vertex model on a strip

Zongrui Yang

Comments: 23 pages. v3: Accepted version

Journal-ref: Electron. J. Probab. 29 1 - 28, 2024

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

[1804] arXiv:2212.09112 [pdf, other]

Title: On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions

Yury A. Neretin

Comments: 15pages; typos are corrected; some proofs are extended

Journal-ref: Ramanjan Journal, 2023

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[1805] arXiv:2212.09115 [pdf, other]

Title: Entropy-variance inequalities for discrete log-concave random variables via degree of freedom

Heshan Aravinda

Comments: The final version uploaded; To appear in Discrete Mathematics

Subjects: Probability (math.PR); Information Theory (cs.IT)

[1806] arXiv:2212.09118 [pdf, other]

Title: Regularity of the optimal sets for a class of integral shape functionals

Giuseppe Buttazzo, Francesco Paolo Maiale, Dario Mazzoleni, Giorgio Tortone, Bozhidar Velichkov

Subjects: Analysis of PDEs (math.AP)

[1807] arXiv:2212.09119 [pdf, other]

Title: Standard compact Clifford-Klein forms and Lie algebra decompositions

Maciej Bochenski, Aleksy Tralle

Comments: 20 pages

Subjects: Representation Theory (math.RT)

[1808] arXiv:2212.09121 [pdf, other]

Title: RIScatter: Unifying Backscatter Communication and Reconfigurable Intelligent Surface

Yang Zhao, Bruno Clerckx

Comments: Accepted by JSAC-SI-ESIT 2023; The code is publicly available at this https URL

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

[1809] arXiv:2212.09123 [pdf, other]

Title: Joint partial equidistribution of Farey rays in negatively curved manifolds and trees

Jouni Parkkonen, Frédéric Paulin

Comments: 36 pages. Some modifications in the introduction and additional references

Journal-ref: Ergod. Th. Dynam. Sys. 44 (2024) 2700-2736

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

[1810] arXiv:2212.09131 [pdf, other]

Title: Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations

Ryan Goh, Tasso J. Kaper, Arnd Scheel, Theodore Vo

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS)

[1811] arXiv:2212.09133 [pdf, other]

Title: Towards to solution of the fractional Takagi-Taupin equations. The Green function method

Murat O. Mamchuev, Felix N. Chukhovskii

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP); Materials Science (cond-mat.mtrl-sci)

[1812] arXiv:2212.09138 [pdf, other]

Title: Manin conjecture for statistical pre-Frobenius manifolds, hypercube relations and motivic Galois group in coding

N. C. Combe

Subjects: Algebraic Geometry (math.AG); Information Theory (cs.IT); Algebraic Topology (math.AT); Category Theory (math.CT)

[1813] arXiv:2212.09141 [pdf, other]

Title: Restricted Log-Exp-Analytic Power Functions

Andre Opris

Comments: arXiv admin note: substantial text overlap with arXiv:2112.10818, arXiv:2205.12011, arXiv:2112.08161

Subjects: Logic (math.LO); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA)

[1814] arXiv:2212.09143 [pdf, other]

Title: Spectral curves of quantum graphs with $\delta_s$ type vertex conditions

Gilad Sofer

Subjects: Mathematical Physics (math-ph)

[1815] arXiv:2212.09156 [pdf, other]

Title: Shifts maps are not type-preserving

Carolyn Abbott, Nicholas Miller, Priyam Patel

Comments: 15 pages, 12 figures

Subjects: Geometric Topology (math.GT)

[1816] arXiv:2212.09160 [pdf, other]

Title: Stochastic Economic Dispatch Considering Demand Response and Endogenous Uncertainty

Nasrin Bayat, Qifeng Li, Joon-Hyuk Park

Subjects: Optimization and Control (math.OC); Methodology (stat.ME)

[1817] arXiv:2212.09164 [pdf, other]

Title: Exponential decay of solutions of damped wave equations in one dimensional space in the $L^p$ framework for various boundary conditions

Yacine Chitour, Hoai-Minh Nguyen

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[1818] arXiv:2212.09167 [pdf, other]

Title: Boundary Traces of Holomorphic Functions on the Unit Ball in $\mathbb{C}^n$

William E. Gryc

Comments: 7 pages

Subjects: Complex Variables (math.CV)

[1819] arXiv:2212.09177 [pdf, html, other]

Title: Ray class groups and ray class fields for orders of number fields

Gene S. Kopp, Jeffrey C. Lagarias

Comments: 51 pages, 1 figure

Subjects: Number Theory (math.NT)

[1820] arXiv:2212.09181 [pdf, other]

Title: Cohen-Macaulay binomial edge ideals of small graphs

Davide Bolognini, Antonio Macchia, Giancarlo Rinaldo, Francesco Strazzanti

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[1821] arXiv:2212.09183 [pdf, other]

Title: Schr\"odinger equation for two quasi-exactly solvable potentials

Bartolomeu D B Figueiredo

Subjects: Mathematical Physics (math-ph)

[1822] arXiv:2212.09185 [pdf, other]

Title: On infinitesimal invariants of normal functions

Elham Izadi

Comments: 29 pages

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

[1823] arXiv:2212.09186 [pdf, other]

Title: Vector-valued numerical radius and $\sigma$-porosity

Mohammed Bachir

Subjects: Functional Analysis (math.FA)

[1824] arXiv:2212.09188 [pdf, other]

Title: Problems, proofs, and disproofs on the inversion number

Guillaume Aubian, Frédéric Havet, Florian Hörsch, Felix Klingelhoefer, Nicolas Nisse, Clément Rambaud, Quentin Vermande

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

[1825] arXiv:2212.09190 [pdf, html, other]

Title: $C^0$-limits of Legendrians and positive loops

Georgios Dimitroglou Rizell, Michael G. Sullivan

Comments: V2: Added two references and Remark 2.7. V3: Removed one lemma in Section 3.2, resulting in slightly adjusted subsequent lemmas from that section. V4: Weakened Theorem C to closed Legendrians

Subjects: Symplectic Geometry (math.SG)

[1826] arXiv:2212.09192 [pdf, html, other]

Title: Multiarmed Bandits Problem Under the Mean-Variance Setting

Hongda Hu, Arthur Charpentier, Mario Ghossoub, Alexander Schied

Subjects: Optimization and Control (math.OC); Computational Finance (q-fin.CP)

[1827] arXiv:2212.09195 [pdf, other]

Title: Reconstruction of topological graphs and their Hilbert bimodules

Rodrigo Frausino, Abraham C.S. Ng, Aidan Sims

Comments: V2: 24 pages. Added references to earlier work, especially of Davidson-Katsoulis, Davidson-Roydor for the origin of local conjugacy of topological graphs and related results/examples, and of Bruce-Takeishi on reconstruction of discrete graphs; apologies for our oversight. Thanks to Adam Dor-On and an anonymous referee for alerting us, and Davidson and Katsoulis for helpful discussions

Subjects: Operator Algebras (math.OA)

[1828] arXiv:2212.09201 [pdf, html, other]

Title: Spectral Regularized Kernel Two-Sample Tests

Omar Hagrass, Bharath K. Sriperumbudur, Bing Li

Comments: 75 pages, to be published in the Annals of Statistics

Subjects: Statistics Theory (math.ST); Machine Learning (cs.LG); Machine Learning (stat.ML)

[1829] arXiv:2212.09203 [pdf, other]

Title: A local gap theorem for Ricci shrinkers

Pak-Yeung Chan, Zilu Ma, Yongjia Zhang

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

[1830] arXiv:2212.09210 [pdf, other]

Title: Complete hypersurfaces with $w$-constant mean curvature in the unit spheres

Qing-Ming Cheng, Guoxin Wei

Journal-ref: Transactions of the American Mathematical Society 2024

Subjects: Differential Geometry (math.DG)

[1831] arXiv:2212.09218 [pdf, html, other]

Title: Symmetric quandle colorings and ribbon concordance

Nicholas Cazet

Subjects: Geometric Topology (math.GT)

[1832] arXiv:2212.09224 [pdf, other]

Title: Deriving dualities in pointfree topology from Priestley duality

G. Bezhanishvili, S. Melzer

Comments: 31 pages, 2 figures, 3 tables, minor revisions

Journal-ref: Applied Categorical Structures 31, 34 (2023)

Subjects: General Topology (math.GN)

[1833] arXiv:2212.09226 [pdf, other]

Title: Recognizing the ${\rm G}_2$-horospherical manifold of Picard number 1 by varieties of minimal rational tangents

Jun-Muk Hwang, Qifeng Li

Comments: To appear in Transformation Groups

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

[1834] arXiv:2212.09236 [pdf, other]

Title: On Topological Groups of Monotonic Autohomeomorphisms

Raushan Buzyakova

Comments: submitted for publication to Applied General Topology

Subjects: General Topology (math.GN)

[1835] arXiv:2212.09237 [pdf, html, other]

Title: The finite presentation of the stable Hom functors, the Bass torsion, and the cotorsion coradical

Alex Martsinkovsky

Comments: The previous version has been split into two separate papers. Section 4 has been augmented by additional results on linear control systems and made into a separate article entitled "The defect, the Malgrange functor, and linear control systems". The new Section 4 deals with sub-stabilization of the tensor product and with related functors. A new application of the defect has been added

Subjects: Category Theory (math.CT); Representation Theory (math.RT)

[1836] arXiv:2212.09239 [pdf, other]

Title: On Non-Interactive Source Simulation via Fourier Transform

Farhad Shirani, Mohsen Heidari

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR); Systems and Control (eess.SY); Probability (math.PR)

[1837] arXiv:2212.09241 [pdf, other]

Title: Mean squares of quadratic twists of the M\"obius function

Peng Gao, Liangyi Zhao

Comments: 8 pages

Journal-ref: J. Number Theory Vol. 247, 2023, pp. 1 -- 14

Subjects: Number Theory (math.NT)

[1838] arXiv:2212.09244 [pdf, other]

Title: Monochromatic quotients, products and polynomial sums in the rationals

Rongzhong Xiao

Subjects: Combinatorics (math.CO)

[1839] arXiv:2212.09245 [pdf, other]

Title: Numerical Kodaira dimension of algebraic fiber spaces in positive characteristic

Sho Ejiri

Comments: 25 pages, v2: added an example which shows that the main theorem fails if the geometric generic fiber is not smooth. v3: Theorems 1.5 and 5.1 (Iitaka's inequality when the base space is of general type and the canonical divisor of the total space is relatively semi-ample) added

Subjects: Algebraic Geometry (math.AG)

[1840] arXiv:2212.09249 [pdf, other]

Title: Shimura operators for certain Hermitian symmetric superpairs

Songhao Zhu

Comments: Main body 21 pages, total 29 pages; typos and mistakes corrected with a new method; organization changed

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

[1841] arXiv:2212.09250 [pdf, other]

Title: On the associated spaces for the weighted altered Ces\`aro space Ch$_{\infty,w}(I)$

Dmitrii V. Prokhorov

Subjects: Functional Analysis (math.FA)

[1842] arXiv:2212.09256 [pdf, other]

Title: Nonlocal $p$-Kirchhoff equations with singular and critical nonlinearity terms

A. Ghanmi, M. Kratou, K. Saoudi, D.D. Repovš

Journal-ref: Asympt. Anal. 131:1 (2023), 125-143

Subjects: Analysis of PDEs (math.AP)

[1843] arXiv:2212.09261 [pdf, other]

Title: Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents

Jiabin Zuo, Debajyoti Choudhuri, Dušan D. Repovš

Journal-ref: Fract. Calc. Appl. Anal. 25:6 (2022), 2532-2553

Subjects: Analysis of PDEs (math.AP)

[1844] arXiv:2212.09265 [pdf, other]

Title: Diversity Analysis of Multi-Aperture UWOC System over EGG Channel with Pointing Errors

Ziyaur Rahman, Ankur Bansal, S. M. Zafaruddin

Comments: This paper has been submitted in IEEE for possible publication

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

[1845] arXiv:2212.09269 [pdf, other]

Title: Generalization of Completely Monotone Conjecture for Tsallis entropy

Li-Chang Hung

Subjects: Analysis of PDEs (math.AP)

[1846] arXiv:2212.09279 [pdf, other]

Title: The number of abundant elements in union-closed families without small sets

Adam Kabela, Michal Polák, Jakub Teska

Subjects: Combinatorics (math.CO)

[1847] arXiv:2212.09280 [pdf, other]

Title: Superimposed Channel Estimation in OTFS Modulation Using Compressive Sensing

Omid Abbassi Aghda, Mohammad Javad Omidi, Hamid Saeedi-Sourck

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

[1848] arXiv:2212.09287 [pdf, other]

Title: On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles

Bocheng Liu, Xuguang Lu

Comments: 37 pages

Subjects: Analysis of PDEs (math.AP)

[1849] arXiv:2212.09291 [pdf, other]

Title: Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation

Michael Eden, Tom Freudenberg

Comments: 35pages, 7 figures, 3 tables

Journal-ref: Multiscale Modeling & Simulation, Vol. 22, No. 2, pp 752-783 (2024)

Subjects: Analysis of PDEs (math.AP)

[1850] arXiv:2212.09293 [pdf, html, other]

Title: Stability estimates for the Vlasov-Poisson system in $p$-kinetic Wasserstein distances

Mikaela Iacobelli, Jonathan Junné

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