We study the evolution of a particle system whose genealogy is given by a supercritical
continuous time Galton–Watson tree. The particles move independently according to a …

We describe the evolution of the quantity of parasites in a population of cells which divide in
continuous-time. The quantity of parasites in a cell follows a Feller diffusion, which is splitted …

We consider a particle system in continuous time, a discrete population, with spatial motion,
and nonlocal branching. The offspring's positions and their number may depend on the …

We study the nonparametric estimation of the branching rate B (x) of a supercritical Bellman–
Harris population: a particle with age x has a random lifetime governed by B (x); at its death …

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 individual is a …

Guyon (Guyon J. Limit theorems for bifurcating Markov chains. Application to the detection of
cellular aging. Ann Appl Probab, 2007, 17: 1538-1569) introduced an important model for …

First, under a geometric ergodicity assumption, we provide some limit theorems and some
probability inequalities for the bifurcating Markov chains (BMC). The BMC model was …

In a first part, we prove Bernstein-type deviation inequalities for bifurcating Markov chains
(BMC) under a geometric ergodicity assumption, completing former results of Guyon and …

We estimate the unknown parameters of an asymmetric bifurcating autoregressive process
(BAR) when some of the data are missing. In this aim, we model the observed data by a two …

We consider branching processes in discrete time for structured population in varying
environment. Each individual has a trait which belongs to some general state space and …