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An isomorphism theorem for random interlacements


 
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1. Title Title of document An isomorphism theorem for random interlacements
 
2. Creator Author's name, affiliation, country Alain-Sol Sznitman; ETH Zurich; Switzerland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random interlacements, Gaussian free field, isomorphism theorem, generalized second Ray-Knight theorem.
 
3. Subject Subject classification 60K35; 60J27; 60G15; 60F05
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) supported in part by grant ERC-2009-AdG 245728-RWPERCRI
 
7. Date (YYYY-MM-DD) 2012-02-11
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1792
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1792
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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