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Return Probabilities of a Simple Random Walk on Percolation Clusters


 
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1. Title Title of document Return Probabilities of a Simple Random Walk on Percolation Clusters
 
2. Creator Author's name, affiliation, country Deborah Heicklen; Lockhead-Martin, USA
 
2. Creator Author's name, affiliation, country Christopher Hoffman; University of Washington, USA
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
4. Description Abstract We bound the probability that a continuous time simple random walk on the infinite percolation cluster on $Z^d$ returns to the origin at time $t$. We use this result to show that in dimensions 5 and higher the uniform spanning forest on infinite percolation clusters supported on graphs with infinitely many connected components a.s.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2005-03-04
 
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/240
 
10. Identifier Digital Object Identifier 10.1214/EJP.v10-240
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 10
 
12. Language English=en
 
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