95 citations · 301 across the 28 of their papers we have counts for
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math.PR2017★ 15 cited
Lines of descent under selection
Ellen Baake, Anton Wakolbinger
We review recent progress on ancestral processes related to mutation-selection models, both in the deterministic and the stochastic setting. We mainly rely on two concepts, namely,…
math.PR2017★ 17 cited
A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent
Ellen Baake, Fernando Cordero, Sebastian Hummel
We reconsider the deterministic haploid mutation-selection equation with two types. This is an ordinary differential equation that describes the type distribution (forward in time)…
math.PR2017★ 1 cited
Fragmentation process, pruning poset for rooted forests, and Möbius inversion
Ellen Baake, Mareike Esser
We consider a discrete-time Markov chain, called fragmentation process, that describes a specific way of successively removing objects from a linear arrangement. The process arises…