Transformation of spectra of graph laplacians

DOI10.1216/RMJ-2010-40-6-2037zbMath1206.05065OpenAlexW2021165757MaRDI QIDQ618680

Robert S. Strichartz

Publication date: 17 January 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-6-2037

zbMATH Keywords

spectrumgraph Laplacianedge graphedge substitution

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12)

Related Items (7)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Half sampling on bipartite graphs ⋮ Spectral analysis on infinite Sierpiński fractafolds ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Einstein field equations extended to fractal manifolds: a fractal perspective ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces

Cites Work

• On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
• On a spectral analysis for the Sierpiński gasket.
• Spectral analysis on infinite Sierpiński gaskets
• Harmonic analysis for resistance forms.
• On eigenvalue problems for Laplacians on p.c.f. self-similar sets
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Fractafolds based on the Sierpinski gasket and their spectra
• The spectrum of infinite regular line graphs
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