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On the internal distance in the interlacement set


 
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1. Title Title of document On the internal distance in the interlacement set
 
2. Creator Author's name, affiliation, country Jiří Černý; University of Vienna; Austria
 
2. Creator Author's name, affiliation, country Serguei Popov; University of Campinas UNICAMP; Brazil
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random interlacement; Internal distance; Shape theorem; Simple random walk; Capacity
 
3. Subject Subject classification 60K35; 82B43; 60G50
 
4. Description Abstract We prove a shape theorem for the internal (graph) distance on the interlacement set $\mathcal{I}^u$ of the random interlacement model on $\mathbb Z^d$, $d\ge 3$. We provide large deviation estimates for the internal distance of distant points in this set, and use these estimates to study the internal distance on the range of a simple random walk on a discrete torus.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-04-12
 
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/1936
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1936
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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