Heat kernel estimates for FIN processes associated with resistance forms

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.

Bibliographic Details
Main Authors: Croydon, D, Hambly, B, Kumagai, T
Format: Journal article
Published: Elsevier 2018