Maximal Clades in Random Binary Search Trees

Svante Janson

Abstract


We study maximal clades in random phylogenetic trees with the Yule-Harding model or, equivalently, in binary search trees. We use probabilistic methods to reprove and extend earlier results on moment asymptotics and asymptotic normality. In particular, we give an explanation of the curious phenomenon observed by Drmota, Fuchs and Lee (2014) that asymptotic normality holds, but one should normalize using half the variance.

Keywords


phylogenetic trees, binary search trees, maximal clades, Yule-Harding model

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