Minimal Clade Size in the Bolthausen-Sznitman Coalescent

  title={Minimal Clade Size in the Bolthausen-Sznitman Coalescent},
  author={Fabian Freund and Arno Siri-J{\'e}gousse},
  journal={Journal of Applied Probability},
  pages={657 - 668}
In this article we show the asymptotics of distribution and moments of the size X n of the minimal clade of a randomly chosen individual in a Bolthausen-Sznitman n-coalescent for n → ∞. The Bolthausen-Sznitman n-coalescent is a Markov process taking states in the set of partitions of {1, …, n}, where 1, …, n are referred to as individuals. The minimal clade of an individual is the equivalence class the individual is in at the time of the first coalescence event this individual participates in… 
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Journal of Applied Probability Volume 51 (2014): Index
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