Resistance dimension, random walk dimension and fractal dimension

DOI10.1007/BF01049168zbMath0792.60064OpenAlexW2006859705MaRDI QIDQ1322496

Xian Yin Zhou

Publication date: 24 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf01049168

zbMATH Keywords

electrical networkresistancerandom walks on infinite graphsfractal dimension and resistance dimension

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets ⋮ Dimensions of random trees. ⋮ Resistance dimensions of branching processes in varying environments trees ⋮ FRACTAL AND RESISTANCE DIMENSIONS OF RANDOM TREES ⋮ RANDOM WALKS AND DIMENSIONS OF RANDOM TREES

Cites Work

• Unnamed Item
• Random walks on graphs, electric networks and fractals
• Spectra of graphs and fractal dimensions. I
• Transition densities for Brownian motion on the Sierpinski carpet
• Dirichlet forms on fractals: Poincaré constant and resistance
• A note on recurrent random walks on graphs.

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