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2011 On the transience of random interlacements
Balazs Rath, Artem Sapozhnikov
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Electron. Commun. Probab. 16: 379-391 (2011). DOI: 10.1214/ECP.v16-1637

Abstract

We consider the interlacement Poisson point process on the space of doubly-infinite $\mathbb{Z}^d$-valued trajectories modulo time-shift, tending to infinity at positive and negative infinite times. The set of vertices and edges visited by at least one of these trajectories is the graph induced by the random interlacements at level $u$ of Sznitman(2010). We prove that for any $u > 0$, almost surely, the random interlacement graph is transient.

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Balazs Rath. Artem Sapozhnikov. "On the transience of random interlacements." Electron. Commun. Probab. 16 379 - 391, 2011. https://doi.org/10.1214/ECP.v16-1637

Information

Accepted: 7 July 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1231.60115
MathSciNet: MR2819660
Digital Object Identifier: 10.1214/ECP.v16-1637

Subjects:
Primary: 60K35
Secondary: 82B43

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