Mathematics

Authors and titles for August 2022

[901] arXiv:2208.04128 [pdf, other]

Title: Remixed Eulerian numbers

Philippe Nadeau, Vasu Tewari

Comments: 26 pages, 8 figures. v2: minor corrections

Subjects: Combinatorics (math.CO)

[902] arXiv:2208.04138 [pdf, other]

Title: Water Goes Where? A Water Resource Allocation Method Based on Multi-Objective Decision-Making

Tongyue Shi, Siyu Tao, Haining Wang

Comments: 20 pages

Subjects: Optimization and Control (math.OC); Computers and Society (cs.CY)

[903] arXiv:2208.04141 [pdf, other]

Title: A simple proof of the Fundamental Theorem of Algebra

Bikash Chakraborty

Comments: 2 pages

Journal-ref: Elemente der Mathematik (Online publised) 2022

Subjects: General Mathematics (math.GM)

[904] arXiv:2208.04159 [pdf, other]

Title: Constructing MSR codes with subpacketization $2^{n/3}$ for $k+1$ helper nodes

Ningning Wang, Guodong Li, Sihuang Hu, Min Ye

Journal-ref: IEEE Transactions on Information Theory (Volume: 69, Issue: 6, June 2023)

Subjects: Information Theory (cs.IT)

[905] arXiv:2208.04169 [pdf, other]

Title: A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations

James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Andy Huang, Nathaniel Trask

Subjects: Numerical Analysis (math.NA)

[906] arXiv:2208.04170 [pdf, other]

Title: A Base Change Version of Rasmussen-Tamagawa Conjecture

Plawan Das, Subham Sarkar

Comments: 13 pages, we have corrected the errors in previous version and restructured the article

Subjects: Number Theory (math.NT)

[907] arXiv:2208.04175 [pdf, other]

Title: Down-up algebras and chromatic symmetric functions

Philippe Nadeau, Vasu Tewari

Comments: 18 pages, 7 figures

Subjects: Combinatorics (math.CO)

[908] arXiv:2208.04176 [pdf, other]

Title: Spectacularly large expansion coefficients in M\"untz's theorem

Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[909] arXiv:2208.04177 [pdf, other]

Title: Threshold for the expected measure of random polytopes

Silouanos Brazitikos, Apostolos Giannopoulos, Minas Pafis

Comments: arXiv admin note: text overlap with arXiv:2201.11992 . Math. Ann. (2023)

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

[910] arXiv:2208.04179 [pdf, other]

Title: Overfullness of edge-critical graphs with small minimal core degree

Yan Cao, Guantao Chen, Guangming Jing, Songling Shan

Subjects: Combinatorics (math.CO)

[911] arXiv:2208.04184 [pdf, other]

Title: An instrumental variable approach under dependent censoring

Gilles Crommen, Jad Beyhum, Ingrid Van Keilegom

Subjects: Statistics Theory (math.ST)

[912] arXiv:2208.04188 [pdf, html, other]

Title: A quadratic estimation for the K\"uhnel conjecture on embeddings

S. Dzhenzher, A. Skopenkov

Comments: 23 pages, no figures, minor revision, Remark 4.1.b corrected

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Algebraic Topology (math.AT); Geometric Topology (math.GT)

[913] arXiv:2208.04191 [pdf, other]

Title: 300 GHz Dual-Band Channel Measurement, Analysis and Modeling in an L-shaped Hallway

Yiqin Wang, Yuanbo Li, Chong Han, Yi Chen, Ziming Yu

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

[914] arXiv:2208.04193 [pdf, other]

Title: Stochastic fixed-point iterations for nonexpansive maps: Convergence and error bounds

Mario Bravo, Roberto Cominetti

Comments: Second revision with applications to RVI-Q-learning and SGD

Subjects: Optimization and Control (math.OC)

[915] arXiv:2208.04195 [pdf, other]

Title: A continuum model for brittle nanowires derived from an atomistic description by $\Gamma$-convergence

Bernd Schmidt, Jiří Zeman

Comments: 38 pages, 2 figures (examples and explicit calculation of crack energy added)

Subjects: Analysis of PDEs (math.AP); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Materials Science (cond-mat.mtrl-sci); Mathematical Physics (math-ph)

[916] arXiv:2208.04199 [pdf, other]

Title: A bending-torsion theory for thin and ultrathin rods as a $\Gamma$-limit of atomistic models

Bernd Schmidt, Jiří Zeman

Comments: 28 pages, 1 figure

Subjects: Analysis of PDEs (math.AP); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Materials Science (cond-mat.mtrl-sci)

[917] arXiv:2208.04207 [pdf, html, other]

Title: Simple spines of homotopy 2-spheres are unique

Patrick Orson, Mark Powell

Comments: 22 pages, 2 figures. V2 to appear in Proc. LMS. V3 fixes an error in V2 relating to decorations on surgery obstruction groups

Subjects: Geometric Topology (math.GT)

[918] arXiv:2208.04208 [pdf, other]

Title: On the universality of the Nazarov-Sodin constant

Andrea Sartori

Comments: comments are welcome!

Subjects: Probability (math.PR); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[919] arXiv:2208.04212 [pdf, other]

Title: On a kinetic equation describing the behavior of a gas interacting mainly with radiation

Elena Demattè (University of Bonn, Institute for Applied Mathematics)

Comments: 43 pages

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

[920] arXiv:2208.04214 [pdf, other]

Title: On the $p$-rationality of consecutive quadratic fields

Jaitra Chattopadhyay, H Laxmi, Anupam Saikia

Comments: 10 pages, 3 tables. Comments are welcome

Subjects: Number Theory (math.NT)

[921] arXiv:2208.04220 [pdf, other]

Title: A Linear Programming Approach for Resource-Aware Information-Theoretic Tree Abstractions

Daniel T. Larsson, Dipankar Maity, Panagiotis Tsiotras

Subjects: Information Theory (cs.IT); Artificial Intelligence (cs.AI); Robotics (cs.RO); Applications (stat.AP)

[922] arXiv:2208.04224 [pdf, other]

Title: Symplectic structures on stratified pseudomanifolds

Xiangdong Yang

Comments: The local potentials of the induced Kahler metric on the Kahler quotient are continuous in general. This was overlooked in the proof of Theorem 1 in version2. The definition is corrected. Comments are welcome, 40 pages

Subjects: Symplectic Geometry (math.SG)

[923] arXiv:2208.04228 [pdf, other]

Title: Compact Hausdorff Locales in presheaf toposes

Simon Henry, Christopher Townsend

Comments: 10 pages

Subjects: Category Theory (math.CT)

[924] arXiv:2208.04242 [pdf, other]

Title: Abstract error analysis for Cahn--Hilliard type equations with dynamic boundary conditions

Paula Harder

Comments: Masterthesis

Subjects: Numerical Analysis (math.NA)

[925] arXiv:2208.04245 [pdf, other]

Title: Differentially Private Fr\'echet Mean on the Manifold of Symmetric Positive Definite (SPD) Matrices with log-Euclidean Metric

Saiteja Utpala, Praneeth Vepakomma, Nina Miolane

Comments: Accepted at TMLR

Journal-ref: Transactions on Machine Learning Research (TMLR), 2022

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

[926] arXiv:2208.04252 [pdf, other]

Title: Capacity Scaling Law in Massive MIMO with Antenna Selection

Chongjun Ouyang, Hao Xu, Xujie Zang, Hongwen Yang

Comments: 5 pages

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

[927] arXiv:2208.04255 [pdf, html, other]

Title: Extremal affine subspaces and Khintchine-Jarn\'ik type theorems

Jing-Jing Huang

Comments: 46 pages, minor revision, to appear in GAFA

Subjects: Number Theory (math.NT)

[928] arXiv:2208.04260 [pdf, other]

Title: Integrated Sensing and Communications: A Mutual Information-Based Framework

Chongjun Ouyang, Yuanwei Liu, Hongwen Yang, Naofal Al-Dhahir

Comments: 7 pages

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

[929] arXiv:2208.04263 [pdf, other]

Title: Towards Weak Information Theory: Weak-Joint Typicality Decoding Using Support Vector Machines May Lead to Improved Error Exponents

Aman Chawla, Salvatore Domenic Morgera

Comments: 6 pages, 3 figures

Subjects: Information Theory (cs.IT)

[930] arXiv:2208.04272 [pdf, other]

Title: Unitary canonical forms over Clifford algebras, and an observed unification of some real-matrix decompositions

Ran Gutin

Subjects: Rings and Algebras (math.RA); Symbolic Computation (cs.SC); Numerical Analysis (math.NA); Spectral Theory (math.SP)

[931] arXiv:2208.04279 [pdf, html, other]

Title: Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections

Benjy J. Firester

Comments: Published version in Geometriae Dedicata

Journal-ref: Geometriae Dedicata (2024) 218:46

Subjects: Differential Geometry (math.DG)

[932] arXiv:2208.04281 [pdf, other]

Title: Maximal Border Subrank Tensors

Chia-Yu Chang

Comments: 10 pages

Subjects: Algebraic Geometry (math.AG); Computational Complexity (cs.CC)

[933] arXiv:2208.04291 [pdf, other]

Title: Bijections, generalizations, and other properties of sequentially congruent partitions

Ezekiel Cochran, Madeline Locus Dawsey, Emma Harrell, Samuel Saunders

Subjects: Combinatorics (math.CO)

[934] arXiv:2208.04296 [pdf, other]

Title: The partial Temperley-Lieb algebra and its representations

Stephen Doty, Anthony Giaquinto

Comments: 34 pages

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

[935] arXiv:2208.04299 [pdf, other]

Title: Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings

Kiumars Kaveh, Christopher Manon, Boris Tsvelikhovskiy

Comments: 32 pages, 10 figures

Subjects: Algebraic Geometry (math.AG)

[936] arXiv:2208.04304 [pdf, other]

Title: A Remark on the Rigidity of Delaunay Triangulated Plane

Song Dai

Comments: 9 pages, 1 figure

Subjects: Geometric Topology (math.GT)

[937] arXiv:2208.04305 [pdf, other]

Title: Numerical Solution of Nonlinear Periodic Optimal Control Problems Using a Fourier Integral Pseudospectral Method

Kareem T. Elgindy

Comments: 18 pages, 4 figures

Subjects: Optimization and Control (math.OC)

[938] arXiv:2208.04320 [pdf, other]

Title: Open Quantum Random Walks and Quantum Markov chains on Trees II: The recurrence

Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi, Amen Allah Andolsi

Comments: 17 pages

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

[939] arXiv:2208.04339 [pdf, other]

Title: The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics

Francisco Arana-Herrera, Aaron Calderon

Comments: 48 pages, 8 figures. Comments welcome!

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS)

[940] arXiv:2208.04340 [pdf, other]

Title: Uniqueness of unbounded component for level sets of smooth Gaussian fields

Franco Severo

Comments: 8 pages, minor corrections in the proof, introduction rewritten and assumptions relaxed, now including some strongly correlated and non-FKG fields

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

[941] arXiv:2208.04344 [pdf, other]

Title: Strictification theorems for the homotopy time-slice axiom

Marco Benini, Victor Carmona, Alexander Schenkel

Comments: v2: 22 pages. Final version accepted for publication in Letters in Mathematical Physics

Journal-ref: Lett. Math. Phys. 113, 20 (2023)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT)

[942] arXiv:2208.04354 [pdf, other]

Title: On d-Holomorphic Connections

Sanjay Amrutiya, Ayush Jaiswal

Journal-ref: Proc Math Sci 133, 21 (2023)

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

[943] arXiv:2208.04357 [pdf, other]

Title: Designing Drone Delivery Networks for Vaccine Supply Chain: A Case Study of Niger

Maximilian Kolter, Sandra D. Eksioglu, Sarah Nurre Pinkley, Ruben A. Proano

Comments: 40 pages; 12 Tables; 11 Figures

Subjects: Optimization and Control (math.OC)

[944] arXiv:2208.04366 [pdf, other]

Title: Minimum $L_1$-norm estimation for fractional Ornstein-Uhlenbeck process driven by a Gaussian process

B.L.S. Prakasa Rao

Subjects: Probability (math.PR)

[945] arXiv:2208.04375 [pdf, other]

Title: A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data

Nirmali Roy, Anuradha Jha

Subjects: Numerical Analysis (math.NA)

[946] arXiv:2208.04381 [pdf, other]

Title: Dual-Blind Deconvolution for Overlaid Radar-Communications Systems

Edwin Vargas, Kumar Vijay Mishra, Roman Jacome, Brian M. Sadler, Henry Arguello

Comments: 26 pages, 13 figures, 1 table

Subjects: Information Theory (cs.IT)

[947] arXiv:2208.04387 [pdf, other]

Title: Mixed inequalities for operators associated to critical radius functions with applications to Schr\"odinger type operators

Fabio Berra, Gladis Pradolini, Pablo Quijano

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[948] arXiv:2208.04393 [pdf, other]

Title: Lines highly tangent to a hypersurface

Anand Patel, Eric Riedl, Geoffrey Smith, Dennis Tseng

Comments: Comments welcome!

Subjects: Algebraic Geometry (math.AG)

[949] arXiv:2208.04395 [pdf, other]

Title: Solution to a BCC 2022 problem

Henry Robert Thackeray (University of Pretoria)

Comments: 2 pages, 0 figures

Subjects: Combinatorics (math.CO)

[950] arXiv:2208.04396 [pdf, other]

Title: Construction of Discontinuous Enrichment Functions for Enriched FEM's for Interface Elliptic Problems in 1D

So-Hsiang Chou, Champike Attanayake

Comments: arXiv admin note: substantial text overlap with arXiv:2204.07665

Subjects: Numerical Analysis (math.NA)