Lamplighter random walks on fractals. (English) Zbl 1395.60080
The authors use the book “Analysis on fractals” by J. Kigami [Cambridge: Cambridge University Press (2001; Zbl 0998.28004)] to study the lamplighter random walks on fractals.
Authors’ abstract: We consider on-diagonal heat kernel estimates and the laws of the iterated logarithm for a switch-walk-switch random walk on a lamplighter graph under the condition that the random walk on the underlying graph enjoys sub-Gaussian heat kernel estimates.
Authors’ abstract: We consider on-diagonal heat kernel estimates and the laws of the iterated logarithm for a switch-walk-switch random walk on a lamplighter graph under the condition that the random walk on the underlying graph enjoys sub-Gaussian heat kernel estimates.
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
MSC:
| 60J10 | Markov chains (discrete-time Markov processes on discrete state spaces) |
| 60J35 | Transition functions, generators and resolvents |
| 60J55 | Local time and additive functionals |
Keywords:
random walks; wreath products; fractals; heat kernels; sub-Gaussian estimates; laws of the iterated logarithmCitations:
Zbl 0998.28004References:
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