An isomorphism theorem for random interlacements

Electronic Communications in Probability

Alain-Sol Sznitman

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

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.

【 授权许可】

CC BY