Fragmentation of compositions and intervals

Details Fragmentation of compositions and intervals Fragmentation of compositions and intervals

2005-11-15

arxiv.org/abs/math/0511388v2

Mathematics

Probability

Scientific paper

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.

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