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Three studies on fragmentation and coalescent processes

Abstract : We study fragmentation processes which are linked to coalescent processes. First, we investigate the Bolthausen-Sznitman coalescent, which, after a time-reversal, becomes a time inhomogeneous fragmentation process. We describe its instantaneous dislocation measure in term of Poisson-Dirichlet laws and we deduce asymptotics of the size of the blocks at large and small times. We also study some additive coalescents after a time-reversal seen as fragmentation processes. We prove that the laws of these processes are absolutely continuous with respect to each other and we give the density. Finally, we characterize the law of interval fragmentations proving a one to one correspondence with fragmentations of ordered partitions.
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https://tel.archives-ouvertes.fr/tel-00117403
Contributor : Anne-Laure Basdevant <>
Submitted on : Friday, December 1, 2006 - 2:51:58 PM
Last modification on : Wednesday, December 9, 2020 - 3:09:35 PM
Long-term archiving on: : Thursday, September 20, 2012 - 3:26:05 PM

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  • HAL Id : tel-00117403, version 1

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Anne-Laure Basdevant. Three studies on fragmentation and coalescent processes. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2006. English. ⟨tel-00117403⟩

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