Lamplighter random walks on fractals

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.

20 pages

References in corpus (2)

• Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
• On the range of random walk on graphs satisfying a uniform condition

Cited by in corpus (2)

• Laws of the Iterated Logarithm for random walks on Random Conductance Models
• Rate functions for random walks on Random conuctance Models and related topics