# Coalescents with multiple collisions

@article{Pitman1999CoalescentsWM, title={Coalescents with multiple collisions}, author={Jim Pitman}, journal={Annals of Probability}, year={1999}, volume={27}, pages={1870-1902} }

k−2 � 1 − xb−k � � dx� . Call this process a � -coalescent. Discrete measure-valued processes derived from the � -coalescent model a system of masses undergoing coalescent collisions. Kingman's coalescent, which has numerous applications in population genetics, is the δ0-coalescent for δ0 a unit mass at 0. The coalescent recently derived by Bolthausen and Sznit- man from Ruelle's probability cascades, in the context of the Sherrington- Kirkpatrick spin glass model in mathematical physics, is…

## 517 Citations

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