Journal article
On the exit time and stochastic homogenization of isotropic diffusions in large domains
- Abstract:
- Stochastic homogenization is achieved for a class of elliptic and parabolic equations describing the lifetime, in large domains, of stationary diffusion processes in random environment which are small, statistically isotropic perturbations of Brownian motion in dimension at least three. Furthermore, the homogenization is shown to occur with an algebraic rate. Such processes were first considered in the continuous setting by Sznitman and Zeitouni (Invent. Math. 164 (2006) 455–567), upon whose results the present work relies strongly.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 436.8KB)
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- Publisher copy:
- 10.1214/18-AIHP896
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Authors
Funding
+ National Science Foundation
More from this funder
Funding agency for:
Fehrman, B
Grant:
Mathematical Sciences Postdoctoral Research Fellowship (1502731
Bibliographic Details
- Publisher:
- Institute Henri Poincaré Publisher's website
- Journal:
- Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Journal website
- Volume:
- 55
- Issue:
- 2
- Pages:
- 720-755
- Publication date:
- 2019-05-14
- Acceptance date:
- 2018-02-28
- DOI:
- ISSN:
-
0246-0203
- Source identifiers:
-
926170
Item Description
- Keywords:
- Pubs id:
-
pubs:926170
- UUID:
-
uuid:7b8e7ca3-9868-4863-bb98-176d0149f0c2
- Local pid:
- pubs:926170
- Deposit date:
- 2018-10-10
Terms of use
- Copyright holder:
- Association des Publications de l’Institut Henri Poincaré
- Copyright date:
- 2019
- Notes:
- Copyright © 2019 Association des Publications de l’Institut Henri Poincaré.
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