Mathematics

Authors and titles for Dec 2023

[1]  arXiv:2312.00001 [pdf, ps, other]

Title: On random pairwise comparisons matrices and their geometry

Authors: Jean-Pierre Magnot

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

[2]  arXiv:2312.00002 [pdf, ps, other]

Title: The Discontinuity Group of a Locally Bounded Homomorphism of a Lie Group into a Lie Group Is Commutative

Authors: A. I. Shtern

Comments: 4 pages

Subjects: Representation Theory (math.RT)

[3]  arXiv:2312.00005 [pdf, other]

Title: NumCalc: An open source BEM code for solving acoustic scattering problems

Authors: Wolfgang Kreuzer, Katharina Pollack, Fabian Brinkmann, Piotr Majdak

Comments: 50 pages, 20 figures

Subjects: Numerical Analysis (math.NA)

[4]  arXiv:2312.00007 [pdf, other]

Title: Space-Time Decomposition of Kalman Filter

Authors: Luisa D'Amore, Rosalba Cacciapuoti

Subjects: Numerical Analysis (math.NA)

[5]  arXiv:2312.00008 [pdf, ps, other]

Title: A generalized character associated to element orders

Authors: Alexander Moretó

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

[6]  arXiv:2312.00010 [pdf, other]

Title: Efficient calculation of the integral equation for simulating 2D TE scattering in a homogeneous medium using the Ewald method and a Gabor frame discretization

Authors: Xinyang Lua, M. C. van Beurdenb, Qingbiao Wua

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

[7]  arXiv:2312.00011 [pdf, other]

Title: The Bivariate Normal Integral via Owen's T Function as a Modified Euler's Arctangent Series

Authors: Janez Komelj

Comments: 24 pages with 1 figure

Journal-ref: American Journal of Computational Mathematics, 2023, Vol. 13, No. 4, 476-504

Subjects: Numerical Analysis (math.NA)

[8]  arXiv:2312.00012 [pdf, other]

Title: Multi-fidelity uncertainty quantification for homogenization problems in structure-property relationships from crystal plasticity finite elements

Authors: Anh Tran, Pieterjan Robbe, Theron Rodgers, Hojun Lim

Subjects: Numerical Analysis (math.NA); Materials Science (cond-mat.mtrl-sci)

[9]  arXiv:2312.00014 [pdf, ps, other]

Title: A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations

Authors: Hanaa Zitane, Delfim F. M. Torres

Comments: This is a preprint of a paper whose final form is published in 'Physica D: Nonlinear Phenomena' (ISSN 0167-2789). Submitted 19-Jan-2023; revised 15-May-2023; accepted for publication 11-Oct-2023

Journal-ref: Phys. D 457 (2024), Art. 133951, 9 pp

Subjects: Numerical Analysis (math.NA)

[10]  arXiv:2312.00015 [pdf, other]

Title: On the $\ell_0$ Isoperimetric Coefficient of Measurable Sets

Authors: Manuel Fernandez V

Comments: 18 pages

Subjects: Metric Geometry (math.MG); Computational Geometry (cs.CG)

[11]  arXiv:2312.00017 [pdf, other]

Title: A constructive approach for investigating the stability of incommensurate fractional differential systems

Authors: Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan

Comments: 8 Figures

Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

[12]  arXiv:2312.00020 [pdf, other]

Title: A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation

Authors: S. Saha Ray, Reema Gupta

Subjects: Numerical Analysis (math.NA)

[13]  arXiv:2312.00022 [pdf, other]

Title: A finite element method for stochastic diffusion equations using fluctuating hydrodynamics

Authors: P. Martínez-Lera, M. De Corato

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

[14]  arXiv:2312.00028 [pdf, other]

Title: Constructive Representation of Functions in $N$-Dimensional Sobolev Space

Authors: Declan S. Jagt, Matthew M. Peet

Subjects: Numerical Analysis (math.NA)

[15]  arXiv:2312.00049 [pdf, ps, other]

Title: The K-theory of the conjugation action

Authors: Jeffrey D. Carlson

Comments: Same as the published version up to formatting. 2pp. plus references

Journal-ref: C. R. Math. Acad. Sci. Paris, 359(7) (2021), 795-796

Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT)

[16]  arXiv:2312.00056 [pdf, other]

Title: Combinatorial decompositions for deformed or decorated classes of maps

Authors: Victor Nador

Comments: 251 pages, PhD Thesis

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

[17]  arXiv:2312.00058 [pdf, ps, other]

Title: Uniform estimates for a fully discrete scheme integrating the linear heat equation on a bounded interval with pure Neumann boundary conditions

Authors: Guillaume Dujardin (Paradyse), Pauline Lafitte (MICS, FR3487)

Subjects: Numerical Analysis (math.NA)

[18]  arXiv:2312.00070 [pdf, ps, other]

Title: Fully lifted random duality theory

Authors: Mihailo Stojnic

Subjects: Probability (math.PR); Information Theory (cs.IT); Optimization and Control (math.OC); Statistics Theory (math.ST)

[19]  arXiv:2312.00071 [pdf, ps, other]

Title: Studying Hopfield models via fully lifted random duality theory

Authors: Mihailo Stojnic

Subjects: Probability (math.PR); Statistical Mechanics (cond-mat.stat-mech); Information Theory (cs.IT); Mathematical Physics (math-ph); Statistics Theory (math.ST)

[20]  arXiv:2312.00073 [pdf, ps, other]

Title: Binary perceptrons capacity via fully lifted random duality theory

Authors: Mihailo Stojnic

Subjects: Probability (math.PR); Disordered Systems and Neural Networks (cond-mat.dis-nn); Information Theory (cs.IT); Statistics Theory (math.ST); Machine Learning (stat.ML)

[21]  arXiv:2312.00086 [pdf, ps, other]

Title: Star colouring and locally constrained graph homomorphisms

Authors: Shalu M. A., Cyriac Antony

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

[22]  arXiv:2312.00089 [pdf, ps, other]

Title: Constant Sum Partition of $\{1,2,...,n\}$ Into Subsets With Prescribed Orders

Authors: V. Vilfred Kamalappan, Sajidha P

Comments: 13 pages

Subjects: Combinatorics (math.CO)

[23]  arXiv:2312.00106 [pdf, ps, other]

Title: $\mathbb{A}^1$-Brouwer degrees in Macaulay2

Authors: Nikita Borisov, Thomas Brazelton, Frenly Espino, Thomas Hagedorn, Zhaobo Han, Jordy Lopez Garcia, Joel Louwsma, Wern Juin Gabriel Ong, Andrew R. Tawfeek

Comments: 13 pages, 1 figure. Comments welcome!

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

[24]  arXiv:2312.00108 [pdf, other]

Title: An explicit formula for the zeros of the Riemann zeta function

Authors: Eugenio P Balanzario, Daniel Eduardo Cardenas Romero

Comments: 12 pages, 1 figure

Subjects: Number Theory (math.NT)

[25]  arXiv:2312.00117 [pdf, ps, other]

Title: Symmetries of quantization of finite groupoids

Authors: Jackson Van Dyke

Comments: 34 pages. arXiv admin note: substantial text overlap with arXiv:2311.01637

Subjects: Quantum Algebra (math.QA); Other Condensed Matter (cond-mat.other); Mathematical Physics (math-ph)