Spectral analysis of certain spherically homogeneous graphs

DOI10.7153/oam-07-46zbMath1483.47053arXiv1201.0118OpenAlexW2964237981MaRDI QIDQ2873568

Matthias Keller, Jonathan Breuer

Publication date: 24 January 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0118

zbMATH Keywords

decompositionJacobi matricessymmetriesabsolutely continuous spectrumgraph Laplaciansingular continuous spectrumrough isometryantitreesRemling's theorem

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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