Asymptotics of certain coagulation-fragmentation processes and invariant Poisson-Dirichlet measures

Eddy Mayer-Wolf, Ofer Zeitouni, Martin P. W. Zerner

We consider Markov chains on the space of (countable) partitions of the interval $[0,1]$, obtained first by size biased sampling twice (allowing repetitions) and then merging the p…