Transition probabilities for the simple random walk on the Sierpinski graph

Owen Dafydd Jones

Stochastic Processes and their Applications, 1996, vol. 61, issue 1, 45-69

Abstract: Non-Gaussian upper and lower bounds are obtained for the transition probabilities of the simple random walk on the Sierpinski graph, the pre-fractal associated with the Sierpinski gasket. They are of the same form as bounds previously obtained for the transition density of Brownian motion on the Sierpinski gasket, subject to a scale restriction. A comparison with transition density bounds for random walks on general graphs demonstrates that this restriction represents the scale at which the pre-fractal graph starts to look like the fractal gasket.

Keywords: Random; walk; Fractal; Transition; probability (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (3)

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