2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70402We 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.Probability60 J 25 ; 60 G 09Exchangeable Fragmentation-Coalescence processes and their equilibrium measurestext