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Branching Markov processes on fragmentation trees generated from the paintbox process
paintbox process Markov processes
2011/7/19
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 the space o...
A consistent Markov partition process generated from the paintbox process
Markov partition process generated
2011/7/19
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 process on $\m...