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SUMMARY:Hadrien Maffioli "A parameterized family of balance indices for ph
 ylogenetic networks" (Université Marie et Louis Pasteur)
DTSTART:20261021T083000Z
DTEND:20261021T100000Z
DTSTAMP:20260928T183800Z
UID:indico-event-17423@indico.math.cnrs.fr
DESCRIPTION:Abstract : In this talk\, we present a recently introduced fam
 ily of phylogenetic networkbalance indices. These indices $(H_\\alpha)_{\\
 alpha \\geqslant 0}$ are based on the statistical properties of random wal
 ks on such networks\, similarly as a possible definition of the $B_2$ inde
 x. 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 stu
 dy the asymptotic behavior of $H_\\alpha(G_n)$ as the size of $G_n$ goes t
 o infinity\, with a focus on a class of models of random phylogenetic netw
 orks known as blowups of Galton--Watson trees. This is a joint work with F
 . Bienvenu and J.-J. Duchamps.\n\nhttps://indico.math.cnrs.fr/event/17423/
URL:https://indico.math.cnrs.fr/event/17423/
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