Systems in stochastic equilibrium
Systems in stochastic equilibrium
Combinatorics, Probability and Computing
A Characterization of GEM Distributions
Combinatorics, Probability and Computing
Random Structures & Algorithms
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We show that for 0−α, the Poisson–Dirichlet distribution with parameter (α, θ) is the unique reversible distribution of a rather natural fragmentation–coalescence process. This completes earlier results in the literature for certain split-and-merge transformations and the parameter α = 0.