Characterization of sub-gaussian heat kernel estimates on strongly recurrent graphs

Martin T. Barlow*, Thierry Coulhon, Takashi Kumagai

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

56 Citations (Scopus)

Abstract

Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.

Original languageEnglish
Pages (from-to)1642-1677
Number of pages36
JournalCommunications on Pure and Applied Mathematics
Volume58
Issue number12
DOIs
Publication statusPublished - 2005 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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