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An isomorphism theorem for random interlacements

  
@article{ECP1792,
	author = {Alain-Sol Sznitman},
	title = {An isomorphism theorem for random interlacements},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {random interlacements, Gaussian free field, isomorphism theorem, generalized second Ray-Knight theorem.},
	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.

}, pages = {no. 9, 1-9}, issn = {1083-589X}, doi = {10.1214/ECP.v17-1792}, url = {http://ecp.ejpecp.org/article/view/1792}}