4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.PR2019★ 4 cited
Persistence in the Moran model with random switching
Arnaud Guillin, Arnaud Personne, Edouard Strickler
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerat…
math.PR2019
When Can The Discrete Moran Process May Bereplaced By Wright-fisher Diffusion?
Gorgui Gackou, A Guillin, Arnaud Personne
The Moran discrete process and the Wright-Fisher modelare the most popular models in population genetics. It is common tounderstand the dynamics of these models to use an approxima…
math.PR2018
On the Simpson index for the Moran process with random selection and immigration
Arnaud Personne, Arnaud Guillin, Franck Jabot
Moran or Wright-Fisher processes are probably the most well known model to study the evolution of a population under various effects. Our object of study will be the Simpson index…