No CrossRef data available.
Article contents
On the recurrence of simple random walks on some fractals
Published online by Cambridge University Press: 14 July 2016
Abstract
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.
- Type
- Short Communications
- Information
- Copyright
- Copyright © Applied Probability Trust 1992