# -coalescents and stable Galton-Watson trees

@inproceedings{Abraham2013coalescentsAS, title={-coalescents and stable Galton-Watson trees}, author={Romain Abraham and Jean-François Delmas}, year={2013} }

. Representation of coalescent process using pruning of trees has been used by Goldschmidt and Martin for the Bolthausen-Sznitman coalescent and by Abraham and Delmas for the β (3 / 2 , 1 / 2)-coalescent. By considering a pruning procedure on stable Galton-Watson tree with n labeled leaves, we give a representation of the discrete β (1 + α, 1 − α )-coalescent, with α ∈ [1 / 2 , 1) starting from the trivial partition of the n ﬁrst integers. The construction can also be made directly on the…

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## 15 Citations

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