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Small-time behavior of beta coalescents

Julien BerestyckiNathanaël BerestyckiJason Schweinsberg — 2008

Annales de l'I.H.P. Probabilités et statistiques

For a finite measure on [0, 1], the -coalescent is a coalescent process such that, whenever there are clusters, each -tuple of clusters merges into one at rate (1−) (d). It has recently been shown that if 1<<2, the -coalescent in which is the Beta (2−, ) distribution can be used to describe the genealogy of a continuous-state branching process (CSBP) with an -stable branching mechanism. Here we use facts...

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