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Fragmentation of ordered partitions and intervals
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Anne-Laure Basdevant, Université Paris VI
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Abstract
Fragmentation processes of exchangeable partitions have already been
studied by several authors. This paper deals with fragmentations of
exchangeable compositions, i.e. partitions of $mathbb{N}$ in which the
order of the blocks matters. We will prove that such a fragmentation
is bijectively associated to an interval fragmentation. Using this
correspondence, we then study two examples : Ruelle's interval
fragmentation and the interval fragmentation derived from the
standard additive coalescent.
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Full text: PDF
Pages: 394-417
Published on: May 29, 2006
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Electronic Journal of Probability. ISSN: 1083-6489 |
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