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Ordered Additive Coalescent and Fragmentations Associatedto Lévy Processes with No Positive Jumps


 
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1. Title Title of document Ordered Additive Coalescent and Fragmentations Associatedto Lévy Processes with No Positive Jumps
 
2. Creator Author's name, affiliation, country Grégory Miermont; Université Pierre et Marie Curie
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Additivecoalescent, fragmentation, Lévyprocesses, processes with exchangeableincrements.
 
3. Subject Subject classification 60J25, 60G51
 
4. Description Abstract We study here the fragmentation processes that can be derived from Lévy processes with no positive jumps in the same manner as in the case of a Brownian motion (cf. Bertoin [4]). One of our motivations is that such a representation of fragmentation processes by excursion-type functions induces a particular order on the fragments which is closely related to the additivity of the coalescent kernel. We identify the fragmentation processes obtained this way as a mixing of time-reversed extremal additive coalescents by analogy with the work of Aldous and Pitman [2], and we make its semigroup explicit.
 
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7. Date (YYYY-MM-DD) 2001-06-30
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/87
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-87
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en en
 
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