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 Electronic Journal of Probability > Vol. 9 (2004) > Paper 25 open journal systems 


Exchangeable Fragmentation-Coalescence Processes and their Equilibrium Measures

Julien Berestycki, université de Provence, France


Abstract
We define and study a family of Markov processes with state space the compact set of all partitions of $N$ that we call exchangeable fragmentation-coalescence processes. They can be viewed as a combination of homogeneous fragmentation as defined by Bertoin and of homogenous coalescence as defined by Pitman and Schweinsberg or Möhle and Sagitov. We show that they admit a unique invariant probability measure and we study some properties of their paths and of their equilibrium measure.


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Pages: 770-824

Published on: November 17, 2004





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Electronic Journal of Probability. ISSN: 1083-6489