Heat kernel estimates for FIN processes associated with resistance forms
Probability
2017-11-28 v1
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.
Keywords
Cite
@article{arxiv.1711.09506,
title = {Heat kernel estimates for FIN processes associated with resistance forms},
author = {David Croydon and Ben Hambly and Takashi Kumagai},
journal= {arXiv preprint arXiv:1711.09506},
year = {2017}
}