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On the recurrence of simple random walks on some fractals
Zhou Xian-Yin
Journal:

Journal of Applied Probability / Volume 29 / Issue 2 / June 1992

Published online by Cambridge University Press:

14 July 2016, pp. 454-459

Print publication:

June 1992
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In this paper, the recurrence or transience of simple random walks on some lattice fractals is investigated. As results, we obtain that the simple random walk on the pre-Sierpinski gasket in d dimensions is recurrent for all d ≧ 2, and on the pre-Sierpinski carpet in d dimensions it is recurrent for d = 2 and transient for all d ≧ 3.

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On the recurrence of simple random walks on some fractals