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Heat kernel estimates for FIN processes associated with resistance forms

Author

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

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.

Suggested Citation

  • Croydon, D.A. & Hambly, B.M. & Kumagai, T., 2019. "Heat kernel estimates for FIN processes associated with resistance forms," Stochastic Processes and their Applications, Elsevier, vol. 129(9), pages 2991-3017.
    • Handle: RePEc:eee:spapps:v:129:y:2019:i:9:p:2991-3017
    DOI: 10.1016/j.spa.2018.08.011
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    References listed on IDEAS

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    1. Croydon, David & Muirhead, Stephen, 2015. "Functional limit theorems for the Bouchaud trap model with slowly varying traps," Stochastic Processes and their Applications, Elsevier, vol. 125(5), pages 1980-2009.
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    Cited by:

    1. Andres, Sebastian & Croydon, David A. & Kumagai, Takashi, 2024. "Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model," Stochastic Processes and their Applications, Elsevier, vol. 172(C).

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    1. Andres, Sebastian & Croydon, David A. & Kumagai, Takashi, 2024. "Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model," Stochastic Processes and their Applications, Elsevier, vol. 172(C).

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