Spectra of infinite graphs: two methods of computation

DOI10.7153/oam-2021-15-63zbMath1484.05147arXiv2001.08596OpenAlexW3203867554MaRDI QIDQ5072460

Leonid B. Golinskii

Publication date: 28 April 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08596

zbMATH Keywords

Schur complementJost functionblock matrixadjacency operatorright limitJacobi matrices of finite rank

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Infinite graphs (05C63) Graph operations (line graphs, products, etc.) (05C76)

Related Items (1)

Limit points for the spectral radii of signed graphs

Cites Work

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• Finite range perturbations of finite gap Jacobi and CMV operators
• Spectral analysis of some graphs with infinite rays
• Harmonic analysis on inhomogeneous amenable networks and the Bose-Einstein condensation
• The absolutely continuous spectrum of Jacobi matrices
• Spectra of graphs
• Singular continuous spectrum for the Laplacian on certain sparse trees
• The spectrum of an infinite graph
• Introduction to large truncated Toeplitz matrices
• Sum rules for Jacobi matrices and their applications to spectral theory
• The essential spectrum of Schrödinger, Jacobi, and CMV operators
• Spectral analysis of locally finite graphs with one infinite ray
• Spectra of infinite graphs with tails
• BOSE–EINSTEIN CONDENSATION ON INHOMOGENEOUS AMENABLE GRAPHS
• Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity
• A Survey on Spectra of infinite Graphs
• Spectra of infinite graphs via Schur complement
• Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators
• Operators with singular continuous spectrum, V. Sparse potentials
• Spectral characterizations of propeller graphs
• Spectra of comb graphs with tails
• Graphs and matrices

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