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Time-changes of stochastic processes associated with resistance forms

Abstract:

Given a sequence of resistance forms that converges with respect to the Gromov-Hausdorff-vague topology and satisfies a uniform volume doubling condition, we show the convergence of corresponding Brownian motions and local times. As a corollary of this, we obtain the convergence of time-changed processes. Examples of our main results include scaling limits of Liouville Brownian motion, the Bouchaud trap model and the random conductance model on trees and self-similar fractals. For the lat...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1214/17-EJP99

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
Publisher:
Institute of Mathematical Statistics (IMS) Publisher's website
Journal:
Electronic Journal of Probability Journal website
Volume:
22
Article number:
82
Publication date:
2017-10-12
Acceptance date:
2017-08-27
DOI:
EISSN:
1083-6489
Source identifiers:
735364
Keywords:
Pubs id:
pubs:735364
UUID:
uuid:d5089a4f-1881-4e2d-af82-3935bcdfc38b
Local pid:
pubs:735364
Deposit date:
2017-10-13

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