%0 Journal Article %A Dolgopyat, Dmitry %A Fayad, Bassam %A Vinogradov, Ilya %T Central limit theorems for simultaneous Diophantine approximations %J Journal de l’École polytechnique — Mathématiques %D 2017 %P 1-35 %V 4 %I Ecole polytechnique %U http://www.numdam.org/articles/10.5802/jep.37/ %R 10.5802/jep.37 %G en %F JEP_2017__4__1_0