Lamplighter Random Walks on Fractals

Takashi Kumagai*, Chikara Nakamura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)68-92
Number of pages25
JournalJournal of Theoretical Probability
Issue number1
Publication statusPublished - 2018 Mar 1
Externally publishedYes


  • Fractals
  • Heat kernels
  • Laws of the iterated logarithm (LILs)
  • Random walks
  • Sub-Gaussian estimates
  • Wreath products

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty


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