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Random interlacements on Galton-Watson Trees


 
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1. Title Title of document Random interlacements on Galton-Watson Trees
 
2. Creator Author's name, affiliation, country Martin Tassy; Brown University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Interlacement, Galton-Watson tree, critical behaviour
 
3. Subject Subject classification 60J80, 60K35, 60K37
 
4. Description Abstract We study the critical parameter $u^*$ of random interlacements on a Galton-Watson tree conditioned on the non-extinction event. We show that, for a given law of a Galton-Watson tree, the value of this parameter is a.s. constant and non-trivial. We also characterize this value as the solution of a certain equation.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ENS cachan, antenne de bretagne
 
7. Date (YYYY-MM-DD) 2010-11-21
 
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/1586
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1586
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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