43 citations · 87 across the 7 of their papers we have counts for
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math.ST2017
Statistical estimation in a randomly structured branching population
Marc Hoffmann, Aline Marguet
We consider a binary branching process structured by a stochastic trait that evolves according to a diffusion process that triggers the branching events, in the spirit of Kimmel's…
math.PR2017
A law of large numbers for branching Markov processes by the ergodicity of ancestral lineages
Aline Marguet
We are interested in the dynamic of a structured branching population where the trait of each individual moves according to a Markov process. The rate of division of each individua…
math.PR2017★ 34 cited
Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez, Renaud Dessalles, Alexandre Genadot +3
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (19…