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2012 An isomorphism theorem for random interlacements
Alain-Sol Sznitman
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Electron. Commun. Probab. 17: 1-9 (2012). DOI: 10.1214/ECP.v17-1792

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.<br /><br />

Citation

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Alain-Sol Sznitman. "An isomorphism theorem for random interlacements." Electron. Commun. Probab. 17 1 - 9, 2012. https://doi.org/10.1214/ECP.v17-1792

Information

Accepted: 11 February 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1247.60135
MathSciNet: MR2892408
Digital Object Identifier: 10.1214/ECP.v17-1792

Subjects:
Primary: 60K35
Secondary: 60F05, 60G15, 60J27

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