The longest branches in a non-Markovian phylogenetic tree

Sergey Bocharov; Simon C. Harris; Bastien Mallein

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arXiv · 2410.02444

The longest branches in a non-Markovian phylogenetic tree

Sergey Bocharov·Simon C. Harris·Bastien Mallein

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Abstract

Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time $T$ to a random number $L$ of children. In this article, we study the asymptotic behaviour of the length of the longest branches of this branching process at time $t$, both pendant branches (corresponding to individuals still alive at time $t$) and interior branches (corresponding to individuals dead before time $t$).

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Sergey Bocharov, Simon C. Harris, Bastien Mallein. 2024-10-03. The longest branches in a non-Markovian phylogenetic tree. https://arxiv.org/abs/2410.02444

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