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2014 A lower bound for disconnection by random interlacements
Xinyi Li, Alain-Sol Sznitman
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Electron. J. Probab. 19: 1-26 (2014). DOI: 10.1214/EJP.v19-3067


We consider the vacant set of random interlacements on $\mathbb{Z}^d$, with $d$ bigger or equal to 3, in the percolative regime. Motivated by the large deviation principles obtained in our recent work arXiv:1304.7477, we investigate the asymptotic behavior of the probability that a large body gets disconnected from infinity by the random interlacements. We derive an asymptotic lower bound, which brings into play tilted interlacements, and relates the problem to some of the large deviations of the occupation-time profile considered in arXiv:1304.7477.


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Xinyi Li. Alain-Sol Sznitman. "A lower bound for disconnection by random interlacements." Electron. J. Probab. 19 1 - 26, 2014.


Accepted: 28 January 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1355.60035
MathSciNet: MR3164770
Digital Object Identifier: 10.1214/EJP.v19-3067

Primary: 60F10
Secondary: 60J27 , 60K35

Keywords: disconnection , large deviations , Random interlacements

Vol.19 • 2014
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