Anne-Laure Basdevant
Published 2005-11-15, updated 2005-11-18Version 2
The fragmentation processes of exchangeable partitions have already been studied by several authors. In this paper, we examine rather fragmentation of exchangeable compositions, that means partitions of $\mathbb{N}$ where the order of the blocks counts. We will prove that such a fragmentation is bijectively associated to an interval fragmentation. Using this correspondence, we then calculate the Hausdorff dimension of certain random closed set that arise in interval fragmentations and we study Ruelle's interval fragmentation.
Fragmentation processes with an initial mass converging to infinity
An optimal stopping problem for fragmentation processes
On the equivalence of some eternal additive coalescents
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