Lamplighter random walks on fractals

2015/05/05 by Takashi Kumagai, Kumagai, Takashi, Chikara Nakamura +1
Mathematics · #60J10 #60J35 #60J55 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60J10 #msc:60J35 #msc:60J55

paper · pdf · doi:10.48550/arxiv.1505.00861

20 pages

arxiv created 2016/10/06 · arxiv updated 2016/10/07

Abstract

We consider on-diagonal heat kernel estimates and the laws of the iterated logarithms 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.

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