English

Lamplighter random walks on fractals

Probability 2016-10-07 v4

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.

Keywords

Cite

@article{arxiv.1505.00861,
  title  = {Lamplighter random walks on fractals},
  author = {Takashi Kumagai and Chikara Nakamura},
  journal= {arXiv preprint arXiv:1505.00861},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-22T09:28:04.661Z