10 citations · 14 across the 5 of their papers we have counts for
6 papers
On a coalescence process and its branching genealogy
Nicolas Grosjean, Thierry Huillet
We define and analyze a coalescent process as a recursive box-filling process whose genealogy is given by an ancestral time-reversed, time-inhomogeneous Bienyamé-Galton-Watson proc…
On the genealogy and coalescence times of Bienaymé-Galton-Watson branching processes
Nicolas Grosjean, Thierry Huillet
Coalescence processes have received a lot of attention in the context of conditional branching processes with fixed population size and non-overlapping generations. Here we focus o…
Wright-fisher-like models with constant population size on average
Nicolas Grosjean, Thierry Huillet
We first recall some basic facts from the theory of discrete-time Markov chains arising from two types neutral and non-neutral evolution models of population genetics with constant…
Additional aspects of the generalized linear-fractional branching process
Nicolas Grosjean, Thierry Huillet
We derive some additional results on the Bienyamé-Galton-Watson branching process with linear fractional branching mechanism, as studied in \cite{Sag}. This includes: the expli…
On discrete evolutionary dynamics driven by quadratic interactions
Nicolas Grosjean, Thierry Huillet, Geneviève Rollet
After an introduction to the general topic of models for a given locus of a diploid population whose quadratic dynamics is determined by a fitness landscape, we consider more speci…
Deterministic versus stochastic aspects of superexponential population growth models
Nicolas Grosjean, Thierry Huillet
Deterministic population growth models with power-law rates can exhibit a large variety of growth behaviors, ranging from algebraic, exponential to hyperexponential (finite time ex…