Mathematics

Authors and titles for September 2022

[701] arXiv:2209.03382 [pdf, other]

Title: A unified Casson-Lin invariant for the real forms of SL(2)

Nathan M. Dunfield, Jacob Rasmussen

Comments: 148 pages, 24 figures; v2: incorporates referee's comments; to appear in "Geometry and Topology"

Subjects: Geometric Topology (math.GT)

[702] arXiv:2209.03388 [pdf, html, other]

Title: Ancient Quantifier Logic

Clarence Lewis Protin

Subjects: Logic (math.LO)

[703] arXiv:2209.03389 [pdf, other]

Title: On explicit computation of Curtis homomorphisms for $GL(n,\mathbb{F}_q)$

Xuantong Qu

Comments: 19 pages

Subjects: Representation Theory (math.RT)

[704] arXiv:2209.03399 [pdf, other]

Title: An Operational Calculus Generalization of Ramanujan's Master Theorem

Zachary P. Bradshaw, Christophe Vignat

Comments: 20 pages, 1 figure

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

[705] arXiv:2209.03403 [pdf, other]

Title: Uniformly bounded spherical harmonics and quantum ergodicity on $S^2$

Xiaolong Han

Comments: 16 pages

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[706] arXiv:2209.03404 [pdf, other]

Title: On the $(s,r)$-contractive multi-valued operator and affirmative answer to an open question

Farshid Khojasteh

Subjects: Functional Analysis (math.FA)

[707] arXiv:2209.03407 [pdf, other]

Title: Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation

Ming Zhou, Zhaojun Bai, Yunfeng Cai, Klaus Neymeyr

Comments: 26 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[708] arXiv:2209.03408 [pdf, other]

Title: Trees maximizing the number of almost-perfect matchings

Stijn Cambie, Bradley McCoy, Gunjan Sharma, Stephan Wagner, Corrine Yap

Comments: 21 pages, 8 figures

Subjects: Combinatorics (math.CO)

[709] arXiv:2209.03409 [pdf, other]

Title: The average solution of a TSP instance in a graph

Stijn Cambie

Comments: 9 pages, 3 figures

Subjects: Combinatorics (math.CO)

[710] arXiv:2209.03411 [pdf, other]

Title: Flows of $G_2$-Structures associated to Calabi-Yau Manifolds

Sébastien Picard, Caleb Suan

Comments: 27 Pages; v2 (Minor Changes)

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

[711] arXiv:2209.03426 [pdf, other]

Title: Some exact results for non-degenerate generalized Tur\'an problems

Dániel Gerbner

Subjects: Combinatorics (math.CO)

[712] arXiv:2209.03435 [pdf, other]

Title: Voting models and semilinear parabolic equations

Jing An, Christopher Henderson, Lenya Ryzhik

Comments: 20 pages

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

[713] arXiv:2209.03436 [pdf, other]

Title: On List Coloring with Separation of the Complete Graph and Set System Intersections

Jean-Christophe Godin, Rémi Grisot, Olivier Togni

Comments: 18 pages

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

[714] arXiv:2209.03442 [pdf, other]

Title: Fra\"{i}ss\'e theory in operator algebras

Alessandro Vignati

Comments: 26 pages, reviewed version. To appear in the volume "Model theory of operator algebras" as part of the 'Logic and its Applications' Series

Subjects: Operator Algebras (math.OA); Logic (math.LO)

[715] arXiv:2209.03443 [pdf, other]

Title: Topological-numerical analysis of a two-dimensional discrete neuron model

Paweł Pilarczyk (Faculty of Applied Physics and Mathematics & Digital Technologies Center, Gdańsk University of Technology, Poland), Justyna Signerska-Rynkowska (Dioscuri Centre in Topological Data Analysis, Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland and Faculty of Applied Physics and Mathematics & BioTechMed Center, Gdańsk University of Technology, Poland), Grzegorz Graff (Faculty of Applied Physics and Mathematics & BioTechMed Center, Gdańsk University of Technology, Poland)

Journal-ref: Chaos 33, 043110 (2023)

Subjects: Dynamical Systems (math.DS)

[716] arXiv:2209.03445 [pdf, other]

Title: Elton's near unconditionality of bases as a threshold-free form of greediness

Fernando Albiac, José L. Ansorena, Miguel Berasategui

Subjects: Functional Analysis (math.FA)

[717] arXiv:2209.03446 [pdf, other]

Title: Activity from matroids to rooted trees and beyond

Rigoberto Flórez, David Forge

Comments: To appear in the Journal of Combinatorial Theory series A

Subjects: Combinatorics (math.CO)

[718] arXiv:2209.03454 [pdf, other]

Title: Composition closed premodel structures and the Kreweras lattice

Scott Balchin, Ethan MacBrough, Kyle Ormsby

Comments: v2: 27 pages; final section restructured to emphasize role of tri-colored trees; pre-proofs version accepted to Euro. J. Comb. v1: 28 pages, 8 figures; comments welcome!

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

[719] arXiv:2209.03461 [pdf, html, other]

Title: Portfolio Optimization with Cumulative Prospect Theory Utility via Convex Optimization

Eric Luxenberg, Philipp Schiele, Stephen Boyd

Subjects: Optimization and Control (math.OC); Portfolio Management (q-fin.PM)

[720] arXiv:2209.03462 [pdf, other]

Title: The Zero Density Theorem for the Rankin-Selberg L-function and its applications

Zhining Wei

Comments: The author was notified that the results in this paper was obtained by Dr. Farrell Brumley in his Ph. D. thesis. The author was not aware of this when he posted it on arXiv. Therefore, the author does not intend to submit this paper for publication

Subjects: Number Theory (math.NT)

[721] arXiv:2209.03471 [pdf, other]

Title: A stabilised Benders decomposition with adaptive oracles applied to investment planning of multi-region power systems with short-term and long-term uncertainty

Hongyu Zhang, Nicolò Mazzi, Ken McKinnon, Rodrigo Garcia Nava, Asgeir Tomasgard

Subjects: Optimization and Control (math.OC)

[722] arXiv:2209.03476 [pdf, other]

Title: The fundamental fiber sequence in \'etale homotopy theory

Peter J. Haine, Tim Holzschuh, Sebastian Wolf

Comments: Comments very welcome! v3. 16 pages. Improved the exposition in subsection 1.2. Expanded and generalized the material in subsection 3.3. To appear in International Mathematics Research Notices. v2: 15 pages. Minor changes and added a reference. v1: 14 pages

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

[723] arXiv:2209.03477 [pdf, other]

Title: Siblings of Direct Sums of Chains

Davoud Abdi

Comments: 15 pages

Subjects: Combinatorics (math.CO)

[724] arXiv:2209.03480 [pdf, other]

Title: Geodesic Convexity of the Symmetric Eigenvalue Problem and Convergence of Riemannian Steepest Descent

Foivos Alimisis, Bart Vandereycken

Subjects: Optimization and Control (math.OC)

[725] arXiv:2209.03483 [pdf, other]

Title: Graded loopspaces in mixed characteristics and de Rham-Witt algebra

Ludovic Monier

Comments: 118 pages, PhD manuscript

Subjects: Algebraic Geometry (math.AG)

[726] arXiv:2209.03492 [pdf, other]

Title: Complements of coalescing sets

Steve Butler, Elena D'Avanzo, Rachel Heikkinen, Joel Jeffries, Alyssa Kruczek, Harper Niergarth

Comments: 16 pages

Subjects: Combinatorics (math.CO)

[727] arXiv:2209.03493 [pdf, other]

Title: Spectral faux trees

Steve Butler, Elena D'Avanzo, Rachel Heikkinen, Joel Jeffries, Alyssa Kruczek, Harper Niergarth

Comments: 17 pages

Journal-ref: Involve 17 (2024) 651-668

Subjects: Combinatorics (math.CO)

[728] arXiv:2209.03498 [pdf, html, other]

Title: Lim Ulrich sequences and Boij-S\"{o}derberg cones

Srikanth B. Iyengar, Linquan Ma, Mark E. Walker

Comments: 26 pages. This is the final version of the article, which has now appeared in the Forum of Mathematics, Sigma

Journal-ref: Forum of Mathematics, Sigma, Volume 11, 2023, e115

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

[729] arXiv:2209.03503 [pdf, other]

Title: $\Delta$-Springer varieties and Hall-Littlewood polynomials

Sean T. Griffin

Comments: 21 pages

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

[730] arXiv:2209.03506 [pdf, other]

Title: Spectral properties related to generalized complementary Romanovski-Routh polynomials

Vinay Shukla, A. Swaminathan

Comments: 20 pages, 3 figures

Subjects: Classical Analysis and ODEs (math.CA)

[731] arXiv:2209.03510 [pdf, other]

Title: Linear isometric invariants of bounded domains

Fusheng Deng, Jiafu Ning, Zhiwei Wang, Xiangyu Zhou

Comments: 14pages, comments welcome!

Subjects: Complex Variables (math.CV)

[732] arXiv:2209.03512 [pdf, other]

Title: Solving the Stock Option Forecast problem by a numerical method for the Black-Scholes Equation with Machine Learning Classification Model

Benjamin Jiang, Matthieu Durieux, Kirill V. Golubnichiy

Subjects: Optimization and Control (math.OC)

[733] arXiv:2209.03529 [pdf, other]

Title: Rough Approximate subgroups

A. Rodriguez Fanlo, F. O. Wagner

Subjects: Logic (math.LO); Combinatorics (math.CO); Group Theory (math.GR)

[734] arXiv:2209.03530 [pdf, other]

Title: Gluing non-unique Navier-Stokes solutions

Dallas Albritton, Elia Bruè, Maria Colombo

Comments: Final version, to appear in Annals of PDE

Subjects: Analysis of PDEs (math.AP)

[735] arXiv:2209.03531 [pdf, html, other]

Title: Orthogonal polynomial duality and unitary symmetries of multi--species ASEP$(q,\boldsymbol{\theta})$ and higher--spin vertex models via $^*$--bialgebra structure of higher rank quantum groups

Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou

Comments: Version 3 is the journal version. For an accessible version of the PDF, please visit the second author's website at this http URL

Subjects: Probability (math.PR)

[736] arXiv:2209.03535 [pdf, html, other]

Title: Joint Synthesis of Trajectory and Controlled Invariant Funnel for Discrete-time Systems with Locally Lipschitz Nonlinearities

Taewan Kim, Purnanand Elango, Behcet Acikmese

Comments: This paper has been accepted to International Journal of Robust and Nonlinear Control

Subjects: Optimization and Control (math.OC)

[737] arXiv:2209.03537 [pdf, other]

Title: A combinatorial integration on the Cantor dust

Takashi Maruyama, Tatsuki Seto

Comments: 8 pages

Subjects: K-Theory and Homology (math.KT); Metric Geometry (math.MG)

[738] arXiv:2209.03543 [pdf, other]

Title: Resolutions of local face modules, functoriality, and vanishing of local $h$-vectors

Matt Larson, Sam Payne, Alan Stapledon

Comments: v2: 15 pages, minor improvements. To appear in Algebraic Combinatorics

Subjects: Combinatorics (math.CO)

[739] arXiv:2209.03548 [pdf, other]

Title: Bordered contact instantons and their Fredholm theory and generic transversalities

Yong-Geun Oh

Comments: v2) 41 pages;. application to Shelukhin's conjecture separated away to a separate paper with corrected proof, discussion on the mapping transversality in arXiv:2111.02957 moved to here, title and abstract changed, submitted for the proceedings for Bumsig Kim's Memorial conference. arXiv admin note: text overlap with arXiv:2205.00370 v3) 46 pages, typos corrected, final accepted version

Subjects: Symplectic Geometry (math.SG)

[740] arXiv:2209.03550 [pdf, other]

Title: 2D Density Control of Micro-Particles using Kernel Density Estimation

Ion Matei, Johan de Kleer, Maksym Zhenirovskyy

Subjects: Optimization and Control (math.OC)

[741] arXiv:2209.03551 [pdf, other]

Title: Combinatorial formulas for shifted dual stable Grothendieck polynomials

Joel Brewster Lewis, Eric Marberg

Comments: 44 pages; v2: several corrections and improved exposition

Journal-ref: Forum of Mathematics, Sigma (2024), Vol. 12, Paper e22

Subjects: Combinatorics (math.CO); K-Theory and Homology (math.KT); Representation Theory (math.RT)

[742] arXiv:2209.03553 [pdf, other]

Title: The local motivic monodromy conjecture for simplicial nondegenerate singularities

Matt Larson, Sam Payne, Alan Stapledon

Comments: v2: 68 pages. Expanded to include further results beyond the simplicial case, including the local motivic monodromy conjecture for all Newton nondegenerate singularities of functions in three variables

Subjects: Algebraic Geometry (math.AG)

[743] arXiv:2209.03556 [pdf, other]

Title: A Bootstrap Method for Spectral Statistics in High-Dimensional Elliptical Models

Siyao Wang, Miles E. Lopes

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

[744] arXiv:2209.03559 [pdf, other]

Title: A Poincar\'{e}-Birkhoff-Witt theorem for the universal enveloping algebra of a Rota-Baxter Lie algebra

Zhi-Cheng Zhu, Xing Gao, Li Guo, Jun Pei

Comments: There was an error in considering all the compositions in Sec 3.1

Subjects: Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[745] arXiv:2209.03565 [pdf, other]

Title: Quadratic Constraints for Local Stability Analysis of Quadratic Systems

Shih-Chi Liao, Maziar S. Hemati, Peter Seiler

Comments: 6 pages, 4 figures, to be published in IEEE Conference on Decision and Control 2022

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

[746] arXiv:2209.03571 [pdf, other]

Title: Optimal Policy for Inventory Management with Periodic and Controlled Resets

Yoon Lee, Yonatan Mintz, Anil Aswani, Zuo-Jun Max Shen, Cong Yang

Subjects: Optimization and Control (math.OC)

[747] arXiv:2209.03573 [pdf, other]

Title: Quasi-Random Influences of Boolean Functions

Fan Chung, Nicholas Sieger

Comments: 27 pages, 6 figures

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

[748] arXiv:2209.03582 [pdf, other]

Title: On the relationship between Lozi maps and max-type difference equations

Antonio Linero Bas, Daniel Nieves Roldán

Comments: 30 pages and 12 figures. The final version of the paper will be published in the Journal of Difference Equations and Applications

Subjects: Dynamical Systems (math.DS)

[749] arXiv:2209.03587 [pdf, other]

Title: Stability of curvature-dimension condition for negative dimensions under concentration topology

Shun Oshima

Comments: 33 pages

Subjects: Metric Geometry (math.MG)

[750] arXiv:2209.03588 [pdf, other]

Title: A Rank-Based Reward between a Principal and a Field of Agents: Application to Energy Savings

Clémence Alasseur (EDF R\&D OSIRIS), Erhan Bayraktar, Roxana Dumitrescu, Quentin Jacquet (TROPICAL, EDF R\&D OSIRIS)

Subjects: Optimization and Control (math.OC)