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Fragmentations et perte de masse

Abstract : We investigate the loss of mass to dust for a class of fragmentation processes. We characterize, in terms of the splitting rate, the existence of dust and we describe the asymptotic behaviors of its mass. Then, for fragmentations with a negative index of self-similarity, we analyse the regularity of formation of dust and we describe the genealogy of the fragmentation as a continuum random tree. We also calculate the Hausdorff dimension of this tree, as well as the maximal Holder coefficient of its height function. Next, we study fragmentations with a Poissonian immigration. In particular, we investigate the possibility and nature of equilibrium for such processes. Similar studies are undertaken for deterministic fragmentation models.
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Contributor : Benedicte Haas <>
Submitted on : Friday, November 19, 2004 - 6:50:51 PM
Last modification on : Wednesday, December 9, 2020 - 3:04:57 PM
Long-term archiving on: : Friday, April 2, 2010 - 8:52:47 PM


  • HAL Id : tel-00007465, version 1


Benedicte Haas. Fragmentations et perte de masse. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2004. Français. ⟨tel-00007465⟩



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