5 citations · 5 across the 1 of their papers we have counts for
6 papers
A branching process with coalescence to model random phylogenetic networks
François Bienvenu, Jean-Jil Duchamps
We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of th…
Revisiting Shao and Sokal's index of phylogenetic balance
François Bienvenu, Gabriel Cardona, Celine Scornavacca
Measures of phylogenetic balance, such as the Colless and Sackin indices, play an important role in phylogenetics. Unfortunately, these indices are specifically designed for phylog…
Combinatorial and stochastic properties of ranked tree-child networks
François Bienvenu, Amaury Lambert, Mike Steel
Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Althoug…
The Moran forest
François Bienvenu, Jean-Jil Duchamps, Félix Foutel-Rodier
Starting from any graph on , consider the Markov chain where at each time-step a uniformly chosen vertex is disconnected from all of its neighbors and reconnected…
Positive association of the oriented percolation cluster in randomly oriented graphs
François Bienvenu
Consider any fixed graph whose edges have been randomly and independently oriented, and write to indicate that there is an oriented path going from a vertex $s \…
The split-and-drift random graph, a null model for speciation
François Bienvenu, Florence Débarre, Amaury Lambert
We introduce a new random graph model motivated by biological questions relating to speciation. This random graph is defined as the stationary distribution of a Markov chain on the…