Heat kernel estimates for FIN processes associated with resistance forms

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:129

Article

Croydon, D. A.¹  Hambly, B. M.²  Kumagai, T.³ 

[1] Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England

[2] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Woodstock Rd, Oxford OX2 6GG, England

[3] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

关键词: FIN diffusion;    Transition density;    Heat kernel;    Resistance form;    Fractal;   

DOI  :  10.1016/j.spa.2018.08.011

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free