Spectral Theory

Authors and titles for math.SP in May 2023

[1]  arXiv:2305.00457 [pdf, ps, other]

Title: Absolute continuity of the integrated density of states in the localized regime

Authors: Jing Wang, Xu Xu, Jiangong You, Qi Zhou

Subjects: Spectral Theory (math.SP); Dynamical Systems (math.DS)

[2]  arXiv:2305.01231 [pdf, ps, other]

Title: Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions

Authors: Egor E. Chitorkin, Natalia P. Bondarenko

Subjects: Spectral Theory (math.SP)

[3]  arXiv:2305.01551 [pdf, ps, other]

Title: A derivation of boundary conditions for the space-fractional operator with order $0<α<1$ at the vertices of metric graphs

Authors: K.K. Sabirov, R.R. Ashurov

Subjects: Spectral Theory (math.SP)

[4]  arXiv:2305.01916 [pdf, ps, other]

Title: A remark on decay rates of odd partitions: An application of spectral asymptotics of the Neumann--Poincaré operators

Authors: Yoshihisa Miyanishi

Comments: 6pages

Subjects: Spectral Theory (math.SP); Number Theory (math.NT)

[5]  arXiv:2305.02228 [pdf, ps, other]

Title: Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces

Authors: Louis Soares

Comments: 31 pages. Improved text, incorporated suggestions, fixed several typos, added more references

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG); Number Theory (math.NT)

[6]  arXiv:2305.02683 [pdf, ps, other]

Title: Maps preserving the $\varepsilon$-Pseudo Spectrum of some product of operators

Authors: Hamze Bagherinejad, Ali Iloon Kashkooly, Rohollah Parvinianzadeh

Subjects: Spectral Theory (math.SP)

[7]  arXiv:2305.02686 [pdf, other]

Title: Geometric bounds for the magnetic Neumann eigenvalues in the plane

Authors: Bruno Colbois, Corentin Léna, Luigi Provenzano, Alessandro Savo

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

[8]  arXiv:2305.04398 [pdf, ps, other]

Title: A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space

Authors: Kei Funano

Comments: Final version. To appear in Can. Math. Bulletin

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG); Metric Geometry (math.MG)

[9]  arXiv:2305.04584 [pdf, ps, other]

Title: Effective lower bounds for spectra of random covers and random unitary bundles

Authors: Will Hide

Comments: 28 pages. Final version

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)

[10]  arXiv:2305.04624 [pdf, ps, other]

Title: Spectral properties of the Rhaly operator on weighted null sequence spaces and associated operator ideals

Authors: Arnab Patra, Jyoti Rani, Sanjay Kumar Mahto

Subjects: Spectral Theory (math.SP)

[11]  arXiv:2305.06281 [pdf, ps, other]

Title: Weyl asymptotics for functional difference operators with power to quadratic exponential potential

Authors: Yaozhong W. Qiu

Comments: 14 pages, changed title, some changes made according to referee recommendations, to appear in Proc. Amer. Math. Soc

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Functional Analysis (math.FA)

[12]  arXiv:2305.06471 [pdf, ps, other]

Title: Algebraic Properties of the Fermi Variety for Periodic Graph Operators

Authors: Jake Fillman, Wencai Liu, Rodrigo Matos

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[13]  arXiv:2305.07431 [pdf, ps, other]

Title: Quantitative Magnetic Isoperimetric Inequality

Authors: Rohan Ghanta, Lukas Junge, Leo Morin

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[14]  arXiv:2305.08713 [pdf, ps, other]

Title: Low-lying resonances for infinite-area hyperbolic surfaces with long closed geodesics

Authors: Louis Soares

Comments: 15 pages, 1 figure; Fixed some typos and errors

Subjects: Spectral Theory (math.SP)

[15]  arXiv:2305.08759 [pdf, other]

Title: On the Eigenvectors of Generalized Circulant Matrices

Authors: Enide Andrade, Dante Carrasco-Olivera, Cristina Manzaneda

Subjects: Spectral Theory (math.SP)

[16]  arXiv:2305.10537 [pdf, ps, other]

Title: The spectral geometry of biregular graphs: a quantum graph approach

Authors: Robert Carlson

Comments: Errors in the last subsection of the first version were corrected

Subjects: Spectral Theory (math.SP)

[17]  arXiv:2305.10752 [pdf, ps, other]

Title: Inverse problems for Dirac operators with a constant delay less than half of the interval

Authors: Feng Wang, Chuan-Fu Yang

Comments: arXiv admin note: text overlap with arXiv:2204.08259 by other authors

Subjects: Spectral Theory (math.SP)

[18]  arXiv:2305.11090 [pdf, other]

Title: Maximizing the second Robin eigenvalue of simply connected curved membranes

Authors: Jeffrey J. Langford, Richard S. Laugesen

Comments: 31 pages, 5 figures

Subjects: Spectral Theory (math.SP)

[19]  arXiv:2305.11799 [pdf, ps, other]

Title: Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width

Authors: Corentin Léna, Jonathan Rohleder

Comments: 18 pages, 1 figure. Minor edits and updated list of references. To appear in "Analysis and Mathematical Physics"

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

[20]  arXiv:2305.12631 [pdf, ps, other]

Title: Incomplete inverse problem for Dirac operator with constant delay

Authors: Feng Wang, Chuan-Fu Yang

Comments: arXiv admin note: substantial text overlap with arXiv:2305.10752

Subjects: Spectral Theory (math.SP)

[21]  arXiv:2305.12748 [pdf, other]

Title: Geometry effects in quantum dot families

Authors: Pavel Exner

Comments: A few more minor improvements. Final version, to appear in Pure and Applied Functional Analysis

Subjects: Spectral Theory (math.SP); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[22]  arXiv:2305.14063 [pdf, other]

Title: Guaranteed estimation of Hadamard shape derivative for clustered eigenvalues

Authors: Ryoki Endo, Xuefeng Liu

Subjects: Spectral Theory (math.SP)

[23]  arXiv:2305.14134 [pdf, ps, other]

Title: Remarks on paper "Two-term spectral asymptotics in linear elasticity''

Authors: Genqian Liu

Comments: 39 pages, Latex; typos corrected, Section 7 is further explained, Section 8 and references added, and Proof of Theorem 1.1 is further explained (in Appendix)

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[24]  arXiv:2305.14667 [pdf, ps, other]

Title: Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses

Authors: Feng Wang, Chuan-Fu Yang

Subjects: Spectral Theory (math.SP)

[25]  arXiv:2305.14906 [pdf, ps, other]

Title: A relation between two different formulations of the Berry's conjecture

Authors: Alba García-Ruiz

Comments: 19 pages

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

[26]  arXiv:2305.16452 [pdf, ps, other]

Title: Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains

Authors: Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola

Comments: 33 pages, 3 figures, comments welcome!

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

[27]  arXiv:2305.16745 [pdf, ps, other]

Title: The Howland-Kato Commutator Problem II

Authors: Richard Froese, Ira Herbst

Subjects: Spectral Theory (math.SP)

[28]  arXiv:2305.17986 [pdf, ps, other]

Title: On the real spectrum of differential operators with PT-symmetric periodic matrix coefficients

Authors: O. A. Veliev

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[29]  arXiv:2305.18075 [pdf, ps, other]

Title: Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator

Authors: Vladimir Lotoreichik

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

[30]  arXiv:2305.19608 [pdf, ps, other]

Title: An inverse spectral problem for non-self-adjoint Jacobi matrices

Authors: Alexander Pushnitski, František Štampach

Comments: 39 pages, 2 figures; accepted for publication in International Mathematics Research Notices

Subjects: Spectral Theory (math.SP); Classical Analysis and ODEs (math.CA)

[31]  arXiv:2305.20023 [pdf, ps, other]

Title: Magnetic Lieb--Thirring inequalities on the torus

Authors: Alexei Ilyin, Ari Laptev

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

[32]  arXiv:2305.00797 (cross-list from math-ph) [pdf, ps, other]

Title: Lower bounds on the energy of the Bose gas

Authors: Søren Fournais, Theotime Girardot, Lukas Junge, Leo Morin, Marco Olivieri

Comments: We corrected some typos and added some references

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

[33]  arXiv:2305.01369 (cross-list from math.AP) [pdf, other]

Title: The spectrum of the Poincar{é} operator in an ellipsoid

Authors: Yves Colin de Verdìère (IF, UGA), Jérémie Vidal (ISTerre, UGA)

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

[34]  arXiv:2305.01691 (cross-list from math.NA) [pdf, other]

Title: Avoiding discretization issues for nonlinear eigenvalue problems

Authors: Matthew J. Colbrook, Alex Townsend

Subjects: Numerical Analysis (math.NA); Systems and Control (eess.SY); Mathematical Physics (math-ph); Spectral Theory (math.SP)

[35]  arXiv:2305.02529 (cross-list from math.CA) [src]

Title: Inverse spectral problem for differential pencils with a frozen argument

Authors: Yi-teng Hu, Murat Sat

Comments: In the arxiv version of this manuscript, the Lemma 3.4 is not correct, which should be proved. Since the Hadamard's factorization is important for the reconstrucion of potentials, while for the first formulae, we should prove it again

Subjects: Classical Analysis and ODEs (math.CA); Spectral Theory (math.SP)

[36]  arXiv:2305.03875 (cross-list from math.DS) [pdf, other]

Title: Kronecker Product of Tensors and Hypergraphs: Structure and Dynamics

Authors: Joshua Pickard, Can Chen, Cooper Stansbury, Amit Surana, Anthony Bloch, Indika Rajapakse

Comments: 20 pages, 2 figures

Subjects: Dynamical Systems (math.DS); Spectral Theory (math.SP)

[37]  arXiv:2305.04805 (cross-list from math.FA) [pdf, ps, other]

Title: Spectral properties of generalized Cesàro operators in sequence spaces

Authors: Angela A. Albanese, José Bonet, Werner J. Ricker

Comments: 34 pages, the revised manuscript is accepted to appear in RACSAM

Subjects: Functional Analysis (math.FA); Spectral Theory (math.SP)

[38]  arXiv:2305.05022 (cross-list from math.CA) [pdf, other]

Title: Fractal uncertainty in higher dimensions

Authors: Alex Cohen

Comments: Comments welcome!

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Spectral Theory (math.SP)

[39]  arXiv:2305.05224 (cross-list from math-ph) [pdf, ps, other]

Title: Localization for random quasi-one-dimensional models

Authors: Hakim Boumaza (LAGA)

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[40]  arXiv:2305.05622 (cross-list from math.AG) [pdf, ps, other]

Title: Multilinear Hyperquiver Representations

Authors: Tommi Muller, Vidit Nanda, Anna Seigal

Comments: May 12 2023: Removed redundant page auto-generated by arXiv

Subjects: Algebraic Geometry (math.AG); Spectral Theory (math.SP)

[41]  arXiv:2305.05749 (cross-list from math-ph) [pdf, other]

Title: Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics

Authors: Matias Moreno, Paola Rioseco, Hanne Van Den Bosch

Comments: 23 pages, 3 figures. v4: Introduction improved, references added, typos corrected. The main results are unchanged

Subjects: Mathematical Physics (math-ph); Astrophysics of Galaxies (astro-ph.GA); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[42]  arXiv:2305.05860 (cross-list from math.AT) [pdf, other]

Title: Topology and spectral interconnectivities of higher-order multilayer networks

Authors: Elkaïoum M. Moutuou, Obaï B. K. Ali, Habib Benali

Subjects: Algebraic Topology (math.AT); Social and Information Networks (cs.SI); Spectral Theory (math.SP); Physics and Society (physics.soc-ph)

[43]  arXiv:2305.06237 (cross-list from math-ph) [pdf, ps, other]

Title: Weyl laws for interacting particles

Authors: Ngoc Nhi Nguyen

Comments: 31 pages

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[44]  arXiv:2305.06290 (cross-list from math.CO) [pdf, ps, other]

Title: On some notions of surface area and connectivity for graphs

Authors: Patrizio Bifulco, Joachim Kerner

Comments: 15 pages; six figures; comments welcome!

Subjects: Combinatorics (math.CO); Differential Geometry (math.DG); Metric Geometry (math.MG); Spectral Theory (math.SP)

[45]  arXiv:2305.06612 (cross-list from math-ph) [pdf, other]

Title: Spectral Analysis and Hydrodynamic Manifolds for the Linearized Shakhov Model

Authors: Florian Kogelbauer, Ilya Karlin

Comments: arXiv admin note: text overlap with arXiv:2301.03069

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[46]  arXiv:2305.06652 (cross-list from math.AP) [pdf, ps, other]

Title: On the Krein-Rutman theorem and beyond

Authors: Claudia Fonte Sanchez (UGA, MICROCOSME), Pierre Gabriel (IDP, UT), Stéphane Mischler (CEREMADE, IUF)

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA); Spectral Theory (math.SP)

[47]  arXiv:2305.06670 (cross-list from math.AP) [pdf, ps, other]

Title: Dimensional reduction for a system of 2D anyons

Authors: Nicolas Rougerie (UMPA-ENSL), Qiyun Yang (UMPA-ENSL)

Comments: Annales Henri Poincar{\'e}, In press

Subjects: Analysis of PDEs (math.AP); Quantum Gases (cond-mat.quant-gas); Mathematical Physics (math-ph); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[48]  arXiv:2305.06916 (cross-list from math.AP) [pdf, other]

Title: Unique continuation estimates on manifolds with Ricci curvature bounded below

Authors: Christian Rose, Martin Tautenhahn

Comments: 25 pages, comments welcome!

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG); Functional Analysis (math.FA); Spectral Theory (math.SP)

[49]  arXiv:2305.06953 (cross-list from math.AP) [pdf, ps, other]

Title: Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case

Authors: Laura Abatangelo, Corentin Léna, Paolo Musolino

Comments: 39 pages

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

[50]  arXiv:2305.07435 (cross-list from math.FA) [pdf, ps, other]

Title: Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks

Authors: Alexander Dobrick, Julian Hölz

Comments: 13 pages

Subjects: Functional Analysis (math.FA); Probability (math.PR); Spectral Theory (math.SP)

[51]  arXiv:2305.07833 (cross-list from math.AP) [pdf, ps, other]

Title: Decay Rates and Eigenvalue Asymptotics for Abstract Strongly Coupled Hyperbolic Equations with Infinite Memory

Authors: Hai E Zhang, Gen Qi Xu, Zhong Jie Han

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

[52]  arXiv:2305.08151 (cross-list from math-ph) [pdf, other]

Title: A multipoint perturbation formula for eigenvalue problems

Authors: Geneviève Dusson, Louis Garrigue, Benjamin Stamm

Subjects: Mathematical Physics (math-ph); Numerical Analysis (math.NA); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[53]  arXiv:2305.08927 (cross-list from math.PR) [pdf, other]

Title: $L_2$-small ball asymptotics for Gaussian random functions: a survey

Authors: Alexander Nazarov, Yulia Petrova

Comments: 65 pages, 2 figures

Journal-ref: Probab. Surveys 20:608 - 663, 2023

Subjects: Probability (math.PR); Spectral Theory (math.SP)

[54]  arXiv:2305.10189 (cross-list from math.DG) [pdf, ps, other]

Title: Lieb--Thirring inequalities on manifolds with constant negative curvature

Authors: Alexei Ilyin, Ari Laptev, Timon Weinmann

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

[55]  arXiv:2305.10598 (cross-list from math-ph) [pdf, other]

Title: Nodal decompositions of a symmetric matrix

Authors: Theo McKenzie, John Urschel

Comments: 39 pages 3 figure

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO); Probability (math.PR); Spectral Theory (math.SP)

[56]  arXiv:2305.12024 (cross-list from math.DG) [pdf, ps, other]

Title: Inequalities for eigenvalues of operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space

Authors: Cristiano S. Silva, Juliana F. R. Miranda, Marcio C. Araújo Filho

Comments: 15 pages. arXiv admin note: text overlap with arXiv:2206.09431

Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)

[57]  arXiv:2305.13569 (cross-list from math.CO) [pdf, ps, other]

Title: The Spectral Geometry of the Mesh Matrices of Graphs

Authors: Sylvain E. Cappell, Edward Y. Miller

Comments: 21 Pages

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT); Spectral Theory (math.SP)

[58]  arXiv:2305.13642 (cross-list from math-ph) [pdf, ps, other]

Title: Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition

Authors: Wadim Gerner

Comments: 11 pages, comments welcome!

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[59]  arXiv:2305.14319 (cross-list from math.NA) [pdf, other]

Title: On the convergence of Fourier spectral methods involving non-compact operators

Authors: Thomas Trogdon

Subjects: Numerical Analysis (math.NA); Functional Analysis (math.FA); Spectral Theory (math.SP)

[60]  arXiv:2305.16079 (cross-list from math.NA) [pdf, other]

Title: Computing the Quadratic Numerical Range

Authors: Birgit Jacob, Lukas Vorberg, Christian Wyss

Subjects: Numerical Analysis (math.NA); Spectral Theory (math.SP)

[61]  arXiv:2305.16788 (cross-list from math-ph) [pdf, other]

Title: Spectral convergence in large finite resonator arrays: the essential spectrum and band structure

Authors: Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen

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

[62]  arXiv:2305.16977 (cross-list from math.DS) [pdf, ps, other]

Title: Reducibility without KAM

Authors: Fernando Argentieri, Bassam Fayad

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph); Spectral Theory (math.SP)

[63]  arXiv:2305.17599 (cross-list from math-ph) [pdf, ps, other]

Title: Anderson Localization for Schrödinger Operators with Monotone Potentials over Circle Homeomorphisms

Authors: Jiranan Kerdboon, Xiaowen Zhu

Comments: 17 pages

Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS); Spectral Theory (math.SP)

[64]  arXiv:2305.18016 (cross-list from math.FA) [pdf, ps, other]

Title: Non-Volterra property of some class of compact operators

Authors: Bazarkan N. Biyarov

Comments: 18 pages. arXiv admin note: substantial text overlap with arXiv:1602.00092

Subjects: Functional Analysis (math.FA); Spectral Theory (math.SP)

[65]  arXiv:2305.08901 (cross-list from hep-th) [pdf, other]

Title: Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

Authors: Anthony Ashmore, Yang-Hui He, Elli Heyes, Burt A. Ovrut

Comments: 52 pages, 6 figures; v2 - corrected typo in quintic equation

Subjects: High Energy Physics - Theory (hep-th); Differential Geometry (math.DG); Numerical Analysis (math.NA); Spectral Theory (math.SP)

[66]  arXiv:2305.12613 (cross-list from cs.DM) [pdf, other]

Title: Cohomology of open sets

Authors: Oliver Knill

Comments: 26 pages, 1 figure

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

[67]  arXiv:2305.16257 (cross-list from cs.LG) [pdf, other]

Title: Fast Online Node Labeling for Very Large Graphs

Authors: Baojian Zhou, Yifan Sun, Reza Babanezhad

Comments: 40 pages,17 figures, ICML 2023

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Spectral Theory (math.SP)