41 citations · 242 across the 43 of their papers we have counts for
20 papers · 1 filter
A Gibbsian random tree with nearest neighbour interaction
Pierre Collet, François Dunlop, Thierry Huillet +1
We revisit the random tree model with nearest-neighbour interaction as described in previous work, enhancing growth. When the underlying free Bienaymé-Galton-Watson (BGW) model is…
Large population limit of the spectrum of killed birth-and-death processes
J. -R. Chazottes, P. Collet, S. Méléard
We consider a general class of birth-and-death processes with state space which describes the size of a population going eventually to extinction with probabil…
Quasi-Stationary Distributions and Resilience: What to get from a sample?
J. -R. Chazottes, P. Collet, S. Martínez +1
We study a class of multi-species birth-and-death processes going almost surely to extinction and admitting a unique quasi-stationary distribution (qsd for short). When rescaled by…
Evolution of Gaussian Concentration Bounds under Diffusions
J. -R. Chazottes, P. Collet, F. Redig
We consider the behavior of the Gaussian concentration bound (GCB) under stochastic time evolution. More precisely, we consider a Markovian diffusion process on and…
Diffusions from Infinity
Vincent Bansaye, Pierre Collet, Servet Martinez +2
In this paper we consider diffusions on the half line (0, ) such that the expectation of the arrival time at the origin is uniformly bounded in the initial point. This impl…
Blurred stochastic chains
Pierre Collet, Antonio Galves
Assume we have two stochastic chains taking values in a finite alphabet. These chains may be of infinite order. Assume also that these chains are coupled in such a way that given t…