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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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.spa.2018.08.011

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
ORCID:
0000-0003-0086-0695
Publisher:
Elsevier Publisher's website
Journal:
Stochastic Processes and their Applications Journal website
Volume:
129
Issue:
9
Pages:
2991-3017
Publication date:
2018-09-05
Acceptance date:
2018-08-22
DOI:
ISSN:
0304-4149
Keywords:
Pubs id:
pubs:910995
UUID:
uuid:cd7f04e9-791b-45f7-844b-cec56a837bf4
Local pid:
pubs:910995
Source identifiers:
910995
Deposit date:
2018-08-29

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