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math.PR2007
Exchangeable partitions derived from Markovian coalescents with simultaneous multiple collisions
Rui Dong
Kingman derived the Ewens sampling formula for random partitions from the genealogy model defined by a Poisson process of mutations along lines of descent governed by a simple coal…
math.PR2006★ 2 cited
Exchangeable partitions derived from Markovian coalescents
Rui Dong, Alexander Gnedin, Jim Pitman
Kingman derived the Ewens sampling formula for random partitions describing the genetic variation in a neutral mutation model defined by a Poisson process of mutations along lines…
math.PR2005★ 23 cited
Coagulation--fragmentation duality, Poisson--Dirichlet distributions and random recursive trees
Rui Dong, Christina Goldschmidt, James B. Martin
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…