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arXiv · 1711.09506

Heat kernel estimates for FIN processes associated with resistance forms

David Croydon·Ben Hambly·Takashi Kumagai
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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.

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David Croydon, Ben Hambly, Takashi Kumagai. 2017-11-27. Heat kernel estimates for FIN processes associated with resistance forms. https://arxiv.org/abs/1711.09506

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