Hadrien Maffioli "A parameterized family of balance indices for phylogenetic networks" (Université Marie et Louis Pasteur)

mercredi 21 oct. 2026, 10:30 → 12:00 Europe/Paris

Abstract : In this talk, we present a recently introduced family of phylogenetic network
balance indices. These indices $(H_\alpha)_{\alpha \geqslant 0}$ are based on the statistical properties of random walks on such networks, similarly as a possible definition of the $B_2$ index. First, we show how the distribution of~$H_\alpha$ can be studied for several classic models of random trees, such as the Yule, PDA and Galton--Watson models. Next, we demonstrate how local limits can be used to study the asymptotic behavior of $H_\alpha(G_n)$ as the size of $G_n$ goes to infinity, with a focus on a class of models of random phylogenetic networks known as blowups of Galton--Watson trees. This is a joint work with F. Bienvenu and J.-J. Duchamps.