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math.PR2005
Gibbs distributions for random partitions generated by a fragmentation process
Nathanael Berestycki, Jim Pitman
In this paper we study random partitions of 1,...n, where every cluster of size j can be in any of w\_j possible internal states. The Gibbs (n,k,w) distribution is obtained by samp…
math.PR2005★ 3 cited
Self-similar and Markov composition structures
Alexander Gnedin, Jim Pitman
The bijection between composition structures and random closed subsets of the unit interval implies that the composition structures associated with for a self-simila…