Eigenvalue asymptotics for Schrödinger operators on sparse graphs

DOI10.5802/aif.2979zbMath1336.47034arXiv1311.7221OpenAlexW2949464843MaRDI QIDQ5962661

Michel Bonnefont, Sylvain Golénia, Matthias Keller

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7221

zbMATH Keywords

eigenvaluesasymptoticplanaritydiscrete Laplacianfunctional inequalitylocally finite graphssparse

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Infinite graphs (05C63)

Related Items (10)

Magnetic-sparseness and Schrödinger operators on graphs ⋮ Dynamical systems associated with adjacency matrices ⋮ Sobolev-type inequalities and eigenvalue growth on graphs with finite measure ⋮ A note on eigenvalue bounds for non‐compact manifolds ⋮ Geometric and Spectral Consequences of Curvature Bounds on Tessellations ⋮ The essential spectrum of the discrete Laplacian on Klaus-sparse graphs ⋮ The adjacency matrix and the discrete Laplacian acting on forms ⋮ The magnetic Laplacian acting on discrete cusps ⋮ Riesz decompositions for Schrödinger operators on graphs ⋮ An overview of curvature bounds and spectral theory of planar tessellations

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