Lamplighter Random Walks on Fractals

Takashi Kumagai () and Chikara Nakamura ()
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Takashi Kumagai: Kyoto University
Chikara Nakamura: Kyoto University

Journal of Theoretical Probability, 2018, vol. 31, issue 1, 68-92

Abstract: 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.

Keywords: Random walks; Wreath products; Fractals; Heat kernels; Sub-Gaussian estimates; Laws of the iterated logarithm (LILs); 60J10; 60J35; 60J55 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-016-0718-0

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