27 citations · 48 across the 14 of their papers we have counts for
16 papers
Sharpness for monotone absorbing Interacting Particle Systems
Jean Bérard, Barbara Dembin, Laure Marêché
We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…
Hydrodynamic limit of N-branching Markov processes
Jean Bérard, Brieuc Frénais
We consider the behaviour of branching-selection particle systems in the large population limit. The dynamics of these systems is the combination of the following three components:…
The comonotone flow of a stochastically monotone Feller process on the real line
Jean Bérard, Brieuc Frénais
We show that any stochastically monotone Feller semigroup on R can be extended by a consistent family of order-preserving Feller semigroups on the successive powers of R. We exhibi…
A probabilistic cellular automaton that admits no successful basic i.i.d. coupling
Jean Bérard
In this paper, we revisit a classic example of probabilistic cellular automaton (PCA) on {0, 1} Z , namely, addition modulo 2 of the states of the left-and right-neighbouring cells…
Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata
Jean Bérard
We prove that, for every one-dimendional exponentially ergodic probabilistic cellular automaton with positive rates, there exists a locally defined coupling-from-the-past flow whos…
A Coupling Proof of Convex Ordering for Compound Distributions
Jean Bérard, Nicolas Juillet
In this paper, we give an alternative proof of the fact that, when compounding a nonnegative probability distribution, convex ordering between the distributions of the number of su…