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Branching Markov processes on fragmentation trees generated from the paintbox process
Branching Markov processes fragmentation trees the paintbox process Probability
2011/9/5
Abstract: A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on t...
A consistent Markov partition process generated from the paintbox process
paintbox process Ewens partition Poisson-Dirichlet distribution partition process
2011/9/5
Abstract: We study a family of Markov processes on $\mathcal{P}^{(k)}$, the space of partitions of the natural numbers with at most $k$ blocks. The process can be constructed from a Poisson point proc...