Spectral Theory

Authors and titles for November 2024

[1] arXiv:2411.00502 [pdf, html, other]

Title: Optimal dual frames and dual pairs for probability modelled erasures using weighted average of operator norm and spectral radius

S. Arati, P. Devaraj, Shankhadeep Mondal

Subjects: Spectral Theory (math.SP)

[2] arXiv:2411.01335 [pdf, html, other]

Title: Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential

Pablo Miranda, Daniel Parra

Subjects: Spectral Theory (math.SP)

[3] arXiv:2411.01594 [pdf, html, other]

Title: Homogenisation for the Robin eigenvalue problem on manifolds and flexibility of optimal Schr\"odinger potentials

Chia-Chun Lo

Comments: 29 pages, 1 figure

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

[4] arXiv:2411.02929 [pdf, other]

Title: The spectral concentration for damped waves on compact Anosov manifolds

Yulin Gong

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

[5] arXiv:2411.03204 [pdf, html, other]

Title: A note on the scattering theory of Kato-Ricci manifolds

Batu Güneysu, Maxime Marot

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

[6] arXiv:2411.03525 [pdf, html, other]

Title: On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces

Gedeana Pantoja da Silva, Alexandre Casassola Gonçalves, Rafael Ferreira da Silva

Comments: 7 pages, original research

Subjects: Spectral Theory (math.SP)

[7] arXiv:2411.03577 [pdf, html, other]

Title: A remark on the absence of eigenvalues in continuous spectra for discrete Schr\"{o}dinger operators on periodic lattices

Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

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

[8] arXiv:2411.04770 [pdf, html, other]

Title: A characterization of graphs $G$ with $m_G(\lambda)= 2c(G) + q_s(G) - 1$

Songnian Xu, Wenhao Zhen, Dein Wong

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

[9] arXiv:2411.06779 [pdf, html, other]

Title: An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition

Xiao-Chuan Xu, Yi-Jun Pan

Comments: 16pages

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

[10] arXiv:2411.07564 [pdf, html, other]

Title: An improved multiplicity bound for eigenvalues of the clamped disk

Dan Mangoubi, Daniel Rosenblatt

Comments: 7 pages

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

[11] arXiv:2411.07566 [pdf, html, other]

Title: Upper bound of the counting function of Steklov eigenvalues

Fei He, Lihan Wang

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

[12] arXiv:2411.08239 [pdf, html, other]

Title: Exact Eigenvalues and Eigenvectors for Some n-Dimensional Matrices

Quanling Deng

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

[13] arXiv:2411.10553 [pdf, html, other]

Title: Local form subordination without a power decay and a criterion of Riesz basesness

Boris Mityagin, Petr Siegl

Comments: 22p

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

[14] arXiv:2411.11071 [pdf, html, other]

Title: Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs

Bobo Hua, Ruowei Li

Comments: 23 pages, 1 figure

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

[15] arXiv:2411.11392 [pdf, html, other]

Title: Flat trace distribution of the geodesic flow on compact hyperbolic plane

Hy Lam

Comments: 20 pages, 0 figures

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

[16] arXiv:2411.11427 [pdf, html, other]

Title: Nodal counts for the Robin problem on Lipschitz domains

Katie Gittins, Asma Hassannezhad, Corentin Léna, David Sher

Comments: 36 pages

Subjects: Spectral Theory (math.SP)

[17] arXiv:2411.11721 [pdf, html, other]

Title: Eigenvalues of the Neumann magnetic Laplacian in the unit disk

Bernard Helffer, Corentin Léna

Comments: 33 pages, 3 figures, 4 tables

Subjects: Spectral Theory (math.SP)

[18] arXiv:2411.14124 [pdf, html, other]

Title: Quadrature domains packing

Bjorn Gustafsson, Mihai Putinar

Subjects: Spectral Theory (math.SP); Complex Variables (math.CV)

[19] arXiv:2411.00176 (cross-list from math-ph) [pdf, html, other]

Title: Quantum dynamical bounds for long-range operators with skew-shift potentials

Wencai Liu, Matthew Powell, Xueyin Wang

Comments: 23 pages, comments welcome!

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

[20] arXiv:2411.01577 (cross-list from math.AP) [pdf, html, other]

Title: Refined $L^p$ restriction estimate for eigenfunctions on Riemannian surfaces

Chuanwei Gao, Changxing Miao, Yakun Xi

Comments: 29 pages, 2 figures

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

[21] arXiv:2411.01655 (cross-list from math.AP) [pdf, html, other]

Title: On the geometry of star domains and the spectra of Hodge-Laplace operators under domain approximation

Martin Werner Licht

Comments: Comments welcome

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

[22] arXiv:2411.01901 (cross-list from math.FA) [pdf, html, other]

Title: Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions

Aleksei Aleksandrov, Vladimir Peller

Comments: 26 pages

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

[23] arXiv:2411.02378 (cross-list from math.AP) [pdf, html, other]

Title: Stability of spectral partitions with corners

Gregory Berkolaiko, Yaiza Canzani, Graham Cox, Peter Kuchment, Jeremy L. Marzuola

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

[24] arXiv:2411.04655 (cross-list from cs.LG) [pdf, html, other]

Title: Centrality Graph Shift Operators for Graph Neural Networks

Yassine Abbahaddou, Fragkiskos D. Malliaros, Johannes F. Lutzeyer, Michalis Vazirgiannis

Subjects: Machine Learning (cs.LG); Social and Information Networks (cs.SI); Spectral Theory (math.SP); Applications (stat.AP); Machine Learning (stat.ML)

[25] arXiv:2411.04792 (cross-list from math.AP) [pdf, html, other]

Title: $L^p - L^q$ resolvent restriction estimates for submanifolds

Matthew D. Blair, Chamsol Park

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

[26] arXiv:2411.06047 (cross-list from quant-ph) [pdf, html, other]

Title: Jacobi matrices that realize perfect quantum state transfer and early state exclusion

Rachel Bailey, Sara Costa, Maxim Derevyagin, Caleb Findley, Kai Zuang

Comments: 12 pages, 1 figure

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

[27] arXiv:2411.06281 (cross-list from math.FA) [pdf, html, other]

Title: Spectral equivalences through nonstandard samplings

Fabrice Nonez

Comments: 41 pages

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

[28] arXiv:2411.06886 (cross-list from math.DG) [pdf, html, other]

Title: Spectrally distinguishing symmetric spaces II

Emilio A. Lauret, Juan Sebastián Rodríguez

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

[29] arXiv:2411.08137 (cross-list from math.CO) [pdf, html, other]

Title: New matrices for spectral hypergraph theory, II

R. Vishnupriya, R. Rajkumar

Comments: 41 pages, 7 figures

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

[30] arXiv:2411.08146 (cross-list from math.CA) [pdf, html, other]

Title: Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$

Xiaolong Han

Comments: 11 pages

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

[31] arXiv:2411.08184 (cross-list from math.CO) [pdf, html, other]

Title: Conic programming to understand sums of squares of eigenvalues of graphs

Gabriel Coutinho, Thomás Jung Spier, Shengtong Zhang

Comments: 33 pages. Our collaboration started after arXiv:2308.04475 was posted by two of the authors. We decided that the results in that submission fit well here, so we are keeping them in Section 2, with a significant improvement in the presentation

Subjects: Combinatorics (math.CO); Optimization and Control (math.OC); Spectral Theory (math.SP)

[32] arXiv:2411.09057 (cross-list from math.CA) [pdf, html, other]

Title: Fourier Uncertainty Principles on Riemannian Manifolds

Alex Iosevich, Azita Mayeli, Emmett Wyman

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

[33] arXiv:2411.10202 (cross-list from math.AP) [pdf, html, other]

Title: Spectral properties of symmetrized AMV operators

Manuel Dias, David Tewodrose

Comments: 35 pages, all comments welcome

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

[34] arXiv:2411.10401 (cross-list from math.AP) [pdf, html, other]

Title: Pointwise Weyl Laws for Quantum Completely Integrable Systems

Suresh Eswarathasan, Allan Greenleaf, Blake Keeler

Comments: 32 pages

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

[35] arXiv:2411.11077 (cross-list from math.CO) [pdf, html, other]

Title: Equivalent spectral theory for fundamental graph cut problems

Sihong Shao, Chuan Yang, Dong Zhang, Weixi Zhang

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

[36] arXiv:2411.11168 (cross-list from math.AP) [pdf, html, other]

Title: Inequalities between Dirichlet and Neumann eigenvalues on Carnot groups

Rupert L. Frank, Bernard Helffer, Ari Laptev

Comments: 10 pages; dedicated to Nikolai Nadirashvili, on the occasion of his 70th birthday

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

[37] arXiv:2411.12384 (cross-list from math-ph) [pdf, html, other]

Title: Magnetic tunneling between disc-shaped obstacles

Søren Fournais, Léo Morin

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

[38] arXiv:2411.12971 (cross-list from math.GT) [pdf, html, other]

Title: Averages of determinants of Laplacians over moduli spaces for large genus

Yuxin He, Yunhui Wu

Comments: 20 pages, comments are welcome

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