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IDLA on the Supercritical Percolation Cluster


 
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1. Title Title of document IDLA on the Supercritical Percolation Cluster
 
2. Creator Author's name, affiliation, country Eric Shellef; Weizmann Institute of Science; Israel
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Key words and phrases: Internal Diffusion Limited Aggregation, IDLA, Supercritical percolation
 
3. Subject Subject classification Primary 60K35
 
4. Description Abstract We consider the internal diffusion limited aggregation (IDLA) process on the infinite cluster in supercritical Bernoulli bond percolation on $\mathbb{Z}^d$. It is shown that the process on the cluster behaves like it does on the Euclidean lattice, in that the aggregate covers all the vertices in a Euclidean ball around the origin, such that the ratio of vertices in this ball to the total number of particles sent out approaches one almost surely.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-05-24
 
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/775
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-775
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
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