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Poisson Snake and Fragmentation


 
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1. Title Title of document Poisson Snake and Fragmentation
 
2. Creator Author's name, affiliation, country Romain Abraham; Université René Descartes (Paris 5)
 
2. Creator Author's name, affiliation, country Laurent Serlet; Université René Descartes (Paris 5)
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Path-valued process, Brownian snake, Poisson process, fragmentation, coalescence, self-similarity
 
3. Subject Subject classification 60J25, 60G57
 
4. Description Abstract Our main object that we call the Poisson snake is a Brownian snake as introduced by Le Gall. This process has values which are trajectories of standard Poisson process stopped at some random finite lifetime with Brownian evolution. We use this Poisson snake to construct a self-similar fragmentation as introduced by Bertoin. A similar representation was given by Aldous and Pitman using the Continuum Random Tree. Whereas their proofs used approximation by discrete models, our representation allows continuous time arguments.
 
5. Publisher Organizing agency, location
 
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7. Date (YYYY-MM-DD) 2002-07-01
 
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/116
 
10. Identifier Digital Object Identifier 10.1214/EJP.v7-116
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 7
 
12. Language English=en en
 
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