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math.PR2017
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 \…
math.PR2017★ 7 cited
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…