# 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}
}
• Published 6 February 2013
• Mathematics
• Journal of Applied Probability
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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• 2012
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