%0 Journal Article %T On mean central limit theorems for stationary sequences %A J¨¦r£¿me Dedecker %A Emmanuel Rio %J Mathematics %D 2008 %I arXiv %R 10.1214/07-AIHP117 %X In this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions. %U http://arxiv.org/abs/0808.3048v1