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A percolation process on the binary tree where large finite clusters are frozen


 
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1. Title Title of document A percolation process on the binary tree where large finite clusters are frozen
 
2. Creator Author's name, affiliation, country Jacob van den Berg; Centrum Wiskunde & Informatica (CWI); Netherlands
 
2. Creator Author's name, affiliation, country Demeter Kiss; Centrum Wiskunde & Informatica (CWI); Netherlands
 
2. Creator Author's name, affiliation, country Pierre Nolin; ETH Zürich and Courant Institute New York University; Switzerland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) percolation; frozen cluster
 
3. Subject Subject classification Primary: 60K35; Secondary 82B43
 
4. Description Abstract We study a percolation process on the planted binary tree,where clusters freeze as soon as they become larger than some fixed parameter N. We show that as N goes to infinity, the processconverges in some sense to the frozen percolation process introducedby Aldous. In particular, our results show that the asymptotic behaviour differs substantially from that on the square lattice, on which a similar process has been studied recently by van den Berg, de Lima and Nolin.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NWO,NSF
 
7. Date (YYYY-MM-DD) 2012-01-06
 
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/1694
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1694
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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