Heat kernel estimates for FIN processes associated with resistance forms

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

Stochastic Processes and their Applications, 2019, vol. 129, issue 9, 2991-3017

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: FIN diffusion; Transition density; Heat kernel; Resistance form; Fractal (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spa.2018.08.011

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