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Exchangeable Fragmentation-Coalescence Processes and their Equilibrium Measures

   
@article{EJP227,
	author = {Julien Berestycki},
	title = {Exchangeable Fragmentation-Coalescence Processes and their Equilibrium Measures},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {9},
	year = {2004},
	keywords = {},
	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.},
	pages = {no. 25, 770-824},
	issn = {1083-6489},
	doi = {10.1214/EJP.v9-227},    
        url = {http://ejp.ejpecp.org/article/view/227}}