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A lower bound for disconnection by random interlacements


 
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1. Title Title of document A lower bound for disconnection by random interlacements
 
2. Creator Author's name, affiliation, country Xinyi Li; ETH Zurich; Switzerland
 
2. Creator Author's name, affiliation, country Alain-Sol Sznitman; ETH Zurich; Switzerland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random interlacements; disconnection; large deviations
 
3. Subject Subject classification 60F10;60K35,60J27
 
4. Description Abstract 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ERC-2009-AdG 245728-RWPERCRI
 
7. Date (YYYY-MM-DD) 2014-01-28
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/3067
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3067
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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