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arXiv · 1505.00861

Lamplighter random walks on fractals

Takashi Kumagai·Chikara Nakamura
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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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Takashi Kumagai, Chikara Nakamura. 2015-05-05. Lamplighter random walks on fractals. https://arxiv.org/abs/1505.00861

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