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math.PR2008★ 39 cited
The allelic partition for coalescent point processes
Amaury Lambert
Assume that individuals alive at time in some population can be ranked in such a way that the coalescence times between consecutive individuals are i.i.d. The ranked sequence o…
math.PR2007★ 11 cited
The contour of splitting trees is a Lévy process
Amaury Lambert
Splitting trees are those random trees where individuals give birth at constant rate during a lifetime with general distribution, to i.i.d. copies of themselves. The width process…
math.PR2007
Quasi-stationary distributions and diffusion models in population dynamics
Patrick Cattiaux, Pierre Collet, Amaury Lambert +3
In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to at the origin, and the d…