Total internal and external lengths of the Bolthausen-Sznitman coalescent

@article{Kersting2014TotalIA,
  title={Total internal and external lengths of the Bolthausen-Sznitman coalescent},
  author={G{\"o}tz Kersting and Juan Carlos Pardo and Arno Siri-J{\'e}gousse},
  journal={Journal of Applied Probability},
  year={2014},
  volume={51},
  pages={73 - 86}
}
In this paper we study a weak law of large numbers for the total internal length of the Bolthausen-Sznitman coalescent, thereby obtaining the weak limit law of the centered and rescaled total external length; this extends results obtained in Dhersin and Möhle (2013). An application to population genetics dealing with the total number of mutations in the genealogical tree is also given. 
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