Rate of convergence in the multidimensional central limit theorem for   stationary processes. Application to the Knudsen gas and to the Sinai   billiard
  We show how Rio's method [Probab. Theory Related Fields 104 (1996) 255--282] can be adapted to establish a rate of convergence in ${\frac{1}{\sqrt{n}}}$ 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. 
Fran\c{c}oise P\`ene