Exchangeable Fragmentation-Coalescence processes and their equilibrium measures
Probability
2007-05-23 v1
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 exchangeable fragmentation as defined by Bertoin and of homogenous coalescence as defined by Pitman and Schweinsberg or Mohle 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.
Keywords
Cite
@article{arxiv.math/0403154,
title = {Exchangeable Fragmentation-Coalescence processes and their equilibrium measures},
author = {Julien Berestycki},
journal= {arXiv preprint arXiv:math/0403154},
year = {2007}
}