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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...
Gibbs fragmentation trees
Aldous’ beta-splitting model Gibbs distribution Markov branching model Poisson–Dirichlet distribution
2008/11/14
We study fragmentation trees of Gibbs type. In the binary case, we identify the most general
Gibbs-type fragmentation tree with Aldous’ beta-splitting model, which has an extended parameter range β >...