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Heat kernel estimates for FIN processes associated with resistance forms |
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| Authors: | D.A. Croydon B.M. Hambly T. Kumagai |
| 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: | Corresponding author. primary 60J35 secondary 28A80 60J25 60K37. FIN diffusion Transition density Heat kernel Resistance form Fractal |
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