Alpha-stable branching and beta-coalescents

We determine that the continuous-state branching processes for which the genealogy, suitably time-changed, can be described by an autonomous Markov process are precisely those arising from α-stable branching mechanisms. The random ancestral partition is then a time-changed Λ-coalescent, where Λ is t...

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Bibliographic Details
Main Authors: Birkner, M, Blath, J, Capaldo, M, Etheridge, A, Mohle, M, Schweinsberg, J, Wakolbinger, A
Format: Journal article
Language:English
Published: 2005