Invariance principle for the random conductance model
We study a continuous time random walk X in an environment of i.i.d. random conductances {Mathematical expression} in {Mathematical expression} . We assume that {Mathematical expression}, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the...
| Main Authors: | , , , |
|---|---|
| 格式: | Journal article |
| 出版: |
2013
|
| _version_ | 1826291512619565056 |
|---|---|
| author | Andres, S Barlow, M Deuschel, J Hambly, B |
| author_facet | Andres, S Barlow, M Deuschel, J Hambly, B |
| author_sort | Andres, S |
| collection | OXFORD |
| description | We study a continuous time random walk X in an environment of i.i.d. random conductances {Mathematical expression} in {Mathematical expression} . We assume that {Mathematical expression}, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μ . We prove a quenched invariance principle for X, and obtain Green's functions bounds and an elliptic Harnack inequality. © 2012 Springer-Verlag. |
| first_indexed | 2024-03-07T03:00:30Z |
| format | Journal article |
| id | oxford-uuid:b0cebe36-aa1b-49b8-9a89-21fcea732499 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:00:30Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:b0cebe36-aa1b-49b8-9a89-21fcea7324992022-03-27T03:59:06ZInvariance principle for the random conductance modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b0cebe36-aa1b-49b8-9a89-21fcea732499Symplectic Elements at Oxford2013Andres, SBarlow, MDeuschel, JHambly, BWe study a continuous time random walk X in an environment of i.i.d. random conductances {Mathematical expression} in {Mathematical expression} . We assume that {Mathematical expression}, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μ . We prove a quenched invariance principle for X, and obtain Green's functions bounds and an elliptic Harnack inequality. © 2012 Springer-Verlag. |
| spellingShingle | Andres, S Barlow, M Deuschel, J Hambly, B Invariance principle for the random conductance model |
| title | Invariance principle for the random conductance model |
| title_full | Invariance principle for the random conductance model |
| title_fullStr | Invariance principle for the random conductance model |
| title_full_unstemmed | Invariance principle for the random conductance model |
| title_short | Invariance principle for the random conductance model |
| title_sort | invariance principle for the random conductance model |
| work_keys_str_mv | AT andress invarianceprinciplefortherandomconductancemodel AT barlowm invarianceprinciplefortherandomconductancemodel AT deuschelj invarianceprinciplefortherandomconductancemodel AT hamblyb invarianceprinciplefortherandomconductancemodel |