Spectra of graphs and fractal dimensions. II

DOI10.1007/BF02213455zbMath0813.05059OpenAlexW3021540962MaRDI QIDQ1345080

Andras Telcs

Publication date: 26 February 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02213455

zbMATH Keywords

diffusionexponentsrandom walkspectral densitytransition matrixspectrafractal dimensionsresistance dimension

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Sums of independent random variables; random walks (60G50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Diffusion processes (60J60)

Related Items (6)

Volume and time doubling of graphs and random walks: The strongly recurrent case ⋮ The discrete Einstein relation ⋮ Relations between scaling exponents in unimodular random graphs ⋮ A note on recurrent random walks on graphs. ⋮ Positive expansiveness versus network dimension in symbolic dynamical systems ⋮ Growth of Self‐Similar Graphs

Cites Work

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• Random walks on graphs, electric networks and fractals
• Spectra of graphs and fractal dimensions. I
• Transition densities for Brownian motion on the Sierpinski carpet
• Brownian motion on a homogeneous fractal
• A note on recurrent random walks on graphs.
• Harmonic Calculus on P.C.F. Self-Similar Sets

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