Heat kernel estimates for FIN processes associated with resistance forms

D. A. Croydon*, B. M. Hambly, T. Kumagai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Quenched and annealed heat kernel estimates are established for Fontes–Isopi–Newman (FIN) processes on spaces equipped with a resistance form. These results are new even in the case of the one-dimensional FIN diffusion, and also apply to fractals such as the Sierpinski gasket and carpet.

Original languageEnglish
Pages (from-to)2991-3017
Number of pages27
JournalStochastic Processes and their Applications
Volume129
Issue number9
DOIs
Publication statusPublished - 2019 Sep
Externally publishedYes

Keywords

  • FIN diffusion
  • Fractal
  • Heat kernel
  • Resistance form
  • Transition density

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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