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.