Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets

DOI10.1007/s11009-011-9254-7zbMath1277.28010OpenAlexW2009043799MaRDI QIDQ370892

Christoph Thäle, Uta Renata Freiberg

Publication date: 20 September 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/28043/files/11009_2011_Article_9254.pdf

zbMATH Keywords

Hausdorff dimensionSierpinski gasketspectral dimensionEinstein relationfractal geometrycrossing timerotor walkswalk dimension

Mathematics Subject Classification ID

Fractals (28A80) Random walks on graphs (05C81)

Related Items (3)

Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ Non-degeneracy of the harmonic structure on Sierpiński gaskets ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets

Cites Work

• Einstein relation on fractal objects
• Analysis on fractal objects
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• Resistance dimension, random walk dimension and fractal dimension
• The Einstein relation for random walks on graphs
• Rotor Walks and Markov Chains
• Chip-Firing and Rotor-Routing on Directed Graphs
• Brownian motion on nested fractals
• ASYMPTOTICS FOR THE SPECTRAL AND WALK DIMENSION AS FRACTALS APPROACH EUCLIDEAN SPACE
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