Françoise Pène

Titre: "Rate of convergence in the multidimensional CLT for stationary processes. Application to the Knudsen gas and to the Sinai billiard."


Abstract : We show how Rio's method can be adapted to establish a rate of convergence in n^(-1/2) in the multidimensional central limit theorem for some stationary processes in the sense of the Kantorovich metric .We give two applications of this general result : in the case of the Knudsen gas and in the case of the Sinai billiard.