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Homogeneous fragmentations and coalescences

Abstract : The main subject of this work is the study of so-called homogeneous fragmentation and coalescence processes. The first chapter focuses on the property of mass fragmentations, in particular a useful correspondence is established between partition-valued fragmentations and mass fragmentations. The second part concentrates on interval fragmentations. In particular we are interested in the set of points with an abnormal fragmentation speed and more precisely in the Hausdorff dimension of such sets. In the last part, we define and study a class of processes that we call Exchangeable Fragmentation-Coalescence Processes which describe the evolution of a system of particles in which collisions and break-ups both occur. We show that the homogeneity requirement ensure the existence of an equilibrium measure that we study.
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https://tel.archives-ouvertes.fr/tel-00005170
Contributor : Julien Berestycki <>
Submitted on : Monday, March 1, 2004 - 10:30:57 AM
Last modification on : Wednesday, December 9, 2020 - 3:09:17 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:47:03 PM

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  • HAL Id : tel-00005170, version 1

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Julien Berestycki. Homogeneous fragmentations and coalescences. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2003. English. ⟨tel-00005170⟩

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