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2006 Fragmentation of Ordered Partitions and Intervals
Anne-Laure Basdevant
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Electron. J. Probab. 11: 394-417 (2006). DOI: 10.1214/EJP.v11-323

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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Anne-Laure Basdevant. "Fragmentation of Ordered Partitions and Intervals." Electron. J. Probab. 11 394 - 417, 2006. https://doi.org/10.1214/EJP.v11-323

Information

Accepted: 29 May 2006; Published: 2006
First available in Project Euclid: 31 May 2016

zbMATH: 1109.60058
MathSciNet: MR2223041
Digital Object Identifier: 10.1214/EJP.v11-323

Subjects:
Primary: 60J25
Secondary: 60G09

Keywords: exchangeable compositions , Interval fragmentation

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