We present a construction of a Lévy continuum random tree (CRT) associated with a super-
critical continuous state branching process using the so-called exploration process and a …

Given a general critical or sub-critical branching mechanism, we define a pruning procedure
of the associated Lévy continuum random tree. This pruning procedure is defined by adding …

Branching processes with interaction and a generalized Ray-Knight Theorem Page 1 www.imstat.org/aihp
Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 2015, Vol. 51, No. 4, 1290–1313 …

Combinatorial trees can be used to represent genealogies of asexual individuals. These
individuals can be endowed with birth and death times, to obtain a so-called 'chronological …

We give a new proof for a Ray-Knight representation of Feller's branching diffusion with
logistic growth in terms of the local times of a reflected Brownian motion $ H $ with a drift that …

Given a general critical or sub-critical branching mechanism and its associated Lévy
continuum random tree, we consider a pruning procedure on this tree using a Poisson …

We study the bijection between binary Galton-Watson trees in continuous time and their
exploration process, both in the subcritical and in the supercritical cases. We then take the …

In this work, we consider a continuous–time branching process with interaction where the
birth and death rates are non linear functions of the population size. We prove that after a …

We consider a Feller diffusion (Zs, s $\ge $0)(with diffusion coefficient $\sqrt $2$\beta $ and
drift $\theta $$\in $ R) that we condition on {Zt= at}, where at is a deterministic function, and …

We show joint convergence of the Łukasiewicz path and height process for slightly
supercritical Galton–Watson forests. This shows that the height processes for supercritical …