An isomorphism theorem for random interlacements

Alain-Sol Sznitman (ETH Zurich)

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.


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Pages: 1-9

Publication Date: February 11, 2012

DOI: 10.1214/ECP.v17-1792

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