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Local limits of conditioned Galton-Watson trees: the condensation case


 
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1. Title Title of document Local limits of conditioned Galton-Watson trees: the condensation case
 
2. Creator Author's name, affiliation, country Romain Abraham; Université d'Orléans; France
 
2. Creator Author's name, affiliation, country Jean-François Delmas; Université Paris-Est; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Galton-Watson, random tree, condensation, non-extinction, branching process
 
3. Subject Subject classification 60J80, 60B10
 
4. Description Abstract We  provide a complete picture of the local convergence of critical or subcritical Galton-Watson tree conditioned on having a large number of individuals with out-degree in a given set. The generic case, where the limit is a random tree with an infinite spine has been treated in a previous paper. We focus here on the  non-generic case, where the limit is a random tree with a node with  infinite out-degree. This case corresponds to the so-called condensation phenomenon.
 
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7. Date (YYYY-MM-DD) 2014-06-27
 
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/3164
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3164
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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