Population Dynamics and Random Genealogies

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THE CONTOUR OF SPLITTING TREES IS A LÉVY PROCESS (2007, background): “In a work in preparation [17] (see also [15]), we show that actually, ( ∞τ ; τ ≥ 0) is Markovian, and, more precisely, that it is a Yule process with birth rate η.”
Quasi-stationary distributions and diffusion models in population dynamics (2007, background): “, [20], Chapter 2) that when r > 0, the supercritical Feller diffusion Z conditioned on extinction is exactly the subcritical Feller diffusion with h(z) = −rz.”
ABGD, Automatic Barcode Gap Discovery for primary species delimitation (2012, background): “Several properties of genealogical trees generated by such processes can be found in Lambert (2008).”
On the extinction of Continuous State Branching Processes with catastrophes (2013, unknown): “2 in [29], P(∃t : Yt = 0) = 0 and 0 < P(limt→∞ Yt = 0) < 1.”