Pré-Publication, Document De Travail Année : 2024

The longest branches in a non-Markovian phylogenetic tree

Résumé

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 $t$).

Fichier principal
Vignette du fichier
longBranchesBellmanHarris.pdf (484.55 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04740112 , version 1 (16-10-2024)

Licence

Identifiants

Citer

Sergey Bocharov, Simon C. Harris, Bastien Mallein. The longest branches in a non-Markovian phylogenetic tree. 2024. ⟨hal-04740112⟩
119 Consultations
134 Téléchargements

Altmetric

Partager

  • More