作者:Aldous, D; Pitman, J
作者单位:University of California System; University of California Berkeley
摘要:Regard an element of the set of ranked discrete distributions Delta := {(x(1), x(2),...) : x(1) greater than or equal to x(2) greater than or equal to ... greater than or equal to 0, Sigma (i) x(i) = 1} as a fragmentation of unit mass into clusters of masses xi. The additive coalescent is the Delta -valued Markov process in which pairs of clusters of masses {x(i), x(j)} merge into a cluster of mass x(i) + x(j) at rate x(i) + x(j). Aldous and Pitman (1998) showed that a version of this process ...