Coagulation–fragmentation duality, Poisson–Dirichlet distributions and random recursive trees
نویسندگان
چکیده
منابع مشابه
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 twoparameter family of Poisson–Dirichlet distributions PD(α, θ) that take values in this space. We introduce families of random fragmentation and coagulation operators Fragα and Co...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2006
ISSN: 1050-5164
DOI: 10.1214/105051606000000655