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Transience of percolation clusters on wedges


 
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1. Title Title of document Transience of percolation clusters on wedges
 
2. Creator Author's name, affiliation, country Noam Berger; University of California, Los Angeles
 
2. Creator Author's name, affiliation, country Itai Benjamini; The Weizmann Institute
 
2. Creator Author's name, affiliation, country Omer Angel; University of British Columbia
 
2. Creator Author's name, affiliation, country Yuval Peres; The University of California, Berkeley
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) percolation; transience; wedges
 
3. Subject Subject classification 60J45
 
4. Description Abstract We study random walks on supercritical percolation clusters on wedges in $Z^3$, and show that the infinite percolation cluster is (a.s.) transient whenever the wedge is transient. This solves a question raised by O. Häggström and E. Mossel. We also show that for convex gauge functions satisfying a mild regularity condition, the existence of a finite energy flow on $Z^2$ is equivalent to the (a.s.) existence of a finite energy flow on the supercritical percolation cluster. This answers a question of C. Hoffman.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-08-07
 
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/345
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-345
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
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