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math.PR2005★ 2 cited
Fragmentation of compositions and intervals
Anne-Laure Basdevant
The fragmentation processes of exchangeable partitions have already been studied by several authors. In this paper, we examine rather fragmentation of exchangeable compositions, th…
math.PR2005★ 11 cited
Ruelle's probability cascades seen as a fragmentation process
Anne-Laure Basdevant
In this paper, we study Ruelle's probability cascades in the framework of time-inhomogeneous fragmentation processes. We describe Ruelle's cascades mechanism exhibiting a family of…