Laboratoire de Mathématiques Blaise Pascal

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19932026

most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2019 · math.PRShow all

7 papers · 2 filters

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★ 3 cited

Extremes for transient random walks in random sceneries under weak independence conditions

Nicolas Chenavier, Ahmad Darwiche

Let ${ξ (k), k \in Z}$ be a stationary sequence of random variables with conditions of type $D (u_{n})$ and $D^{'} (u_{n})$ . Let ${S_{n}, n \in N}$ be a transient rando…

math.PR2019

Uniform Poincar{é} and logarithmic Sobolev inequalities for mean field particles systems

Arnaud Guillin, Wei Liu, Liming Wu +1

In this paper we establish some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, w…

math.PR2019★ 1 cited

Conditional propagation of chaos for mean field systems of interacting neurons

Xavier Erny, Eva Löcherbach, Dasha Loukianova

We study the stochastic system of interacting neurons introduced in De Masi et al. (2015) and in Fournier and Löcherbach (2016) in a diffusive scaling. The system consists of $N$ n…

math.PR2019★ 1 cited

Persistence and exit times for some additive functionals of skew Bessel processes

Christophe Profeta

Let X be some homogeneous additive functional of a skew Bessel process Y. In this note, we compute the asymptotics of the first passage time of X to some fixed level b, and study t…

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…