Overview: First book to our knowledge that solely treats the Poisson-Dirichlet distribution.Focuses also on recent progresses in evolutionary dynamics and asymptotic behaviors.Reviewed by international experts.The Poisson-Dirichlet distribution is an infinite dimensional probability distribution. It was introduced by Kingman over thirty years ago, and has found applications in a broad range of areas including Bayesian statistics, combinatorics, differential geometry, economics, number theory, physics, and population genetics. This monograph provides a comprehensive study of this distribution a
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