Heat kernel estimates for FIN processes associated with resistance forms

D. A. Croydon; B. M. Hambly; T. Kumagai

doi:10.1016/j.spa.2018.08.011

Heat kernel estimates for FIN processes associated with resistance forms

D. A. Croydon^*, B. M. Hambly, T. Kumagai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2991-3017
Number of pages	27
Journal	Stochastic Processes and their Applications
Volume	129
Issue number	9
DOIs	https://doi.org/10.1016/j.spa.2018.08.011
Publication status	Published - 2019 Sept
Externally published	Yes

Keywords

FIN diffusion
Fractal
Heat kernel
Resistance form
Transition density

ASJC Scopus subject areas

Statistics and Probability
Modelling and Simulation
Applied Mathematics

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10.1016/j.spa.2018.08.011

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@article{3d887f40d22b4983a4623e449eb1b3ea,

title = "Heat kernel estimates for FIN processes associated with resistance forms",

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, Fractal, Heat kernel, Resistance form, Transition density",

author = "Croydon, {D. A.} and Hambly, {B. M.} and T. Kumagai",

note = "Funding Information: Takashi Kumagai was partially supported by JSPS KAKENHI (A) 25247007 and 17H01093 . Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2019",

month = sep,

doi = "10.1016/j.spa.2018.08.011",

language = "English",

volume = "129",

pages = "2991--3017",

journal = "Stochastic Processes and their Applications",

issn = "0304-4149",

publisher = "Elsevier",

number = "9",

}

TY - JOUR

T1 - Heat kernel estimates for FIN processes associated with resistance forms

AU - Croydon, D. A.

AU - Hambly, B. M.

AU - Kumagai, T.

PY - 2019/9

Y1 - 2019/9

N2 - 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.

AB - 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.

KW - FIN diffusion

KW - Fractal

KW - Heat kernel

KW - Resistance form

KW - Transition density

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U2 - 10.1016/j.spa.2018.08.011

DO - 10.1016/j.spa.2018.08.011

M3 - Article

AN - SCOPUS:85056740821

SN - 0304-4149

VL - 129

SP - 2991

EP - 3017

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 9

ER -

Heat kernel estimates for FIN processes associated with resistance forms

Abstract

Keywords

ASJC Scopus subject areas

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