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...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
2005
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