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On the transience of random interlacements


 
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1. Title Title of document On the transience of random interlacements
 
2. Creator Author's name, affiliation, country Balazs Rath; ETH, Zurich
 
2. Creator Author's name, affiliation, country Artem Sapozhnikov; ETH, Zurich
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random interlacement; transience; random walk; resistance; intersection of random walks; capacity.
 
3. Subject Subject classification 60K35; 82B43
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2011-07-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1637
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1637
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
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