Coagulation--fragmentation duality, Poisson--Dirichlet distributions and random recursive trees

In this paper we give a new example of duality between fragmentation and coagulation operators. Consider the space of partitions of mass (i.e., decreasing sequences of nonnegative real numbers whose sum is 1) and the two-parameter family of Poisson--Dirichlet distributions $\operatorname {PD}(\alpha...

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Hlavní autoři: Dong, R, Goldschmidt, C, Martin, J
Médium: Journal article
Jazyk:English
Vydáno: 2005