Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions.
Sur la mécanique statistique d'une particule brownienne sur le tore
Une caractérisation des mesures de Gibbs sur par le calcul des variations stochastiques
Grandes déviations spatiales pour un système gradient stochastique infini-dimensionnel
Limite ergodique de processus de diffusion infini-dimensionnels.
We give a temporal ergodicity criterium for the solution of a class of infinite dimensional stochastic differential equations of gradient type, where the interaction has infinite range. We illustrate our theoretical result by typical examples.
Infinite system of Brownian balls with interaction: the non-reversible case
We consider an infinite system of hard balls in undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.
Systèmes de particules et mesures-martingales : un théorème de propagation du chaos
Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation
Stationary measures and phase transition for a class of probabilistic cellular automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Stationary measures and phase transition for a class of Probabilistic Cellular Automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
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