An isomorphism theorem for random interlacements
Probability
2012-02-17 v1
Abstract
We consider continuous-time random interlacements on a transient weighted graph. We prove an identity in law relating the field of occupation times of random interlacements at level u to the Gaussian free field on the weighted graph. This identity is closely linked to the generalized second Ray-Knight theorem, and uniquely determines the law of occupation times of random interlacements at level u.
Cite
@article{arxiv.1111.4818,
title = {An isomorphism theorem for random interlacements},
author = {Alain-Sol Sznitman},
journal= {arXiv preprint arXiv:1111.4818},
year = {2012}
}
Comments
11 pages