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

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)