An isomorphism theorem for random interlacements

Details An isomorphism theorem for random interlacements An isomorphism theorem for random interlacements

2011-11-21

arxiv.org/abs/1111.4818v1

Electron. Commun. Probab., 17, 9, 1-9, 2012

Mathematics

Probability

11 pages

Scientific paper

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.

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