Electronic Journal of Probability

Fragmentation of Ordered Partitions and Intervals

Anne-Laure Basdevant

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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.

Article information

Source
Electron. J. Probab., Volume 11 (2006), paper no. 16, 394-417.

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

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1464730551

Digital Object Identifier
doi:10.1214/EJP.v11-323

Mathematical Reviews number (MathSciNet)
MR2223041

Zentralblatt MATH identifier
1109.60058

Subjects
Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 60G09: Exchangeability

Keywords
Interval fragmentation exchangeable compositions

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

Citation

Basdevant, Anne-Laure. Fragmentation of Ordered Partitions and Intervals. Electron. J. Probab. 11 (2006), paper no. 16, 394--417. doi:10.1214/EJP.v11-323. https://projecteuclid.org/euclid.ejp/1464730551


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