@article{JEP_2017__4__1_0, author = {Dolgopyat, Dmitry and Fayad, Bassam and Vinogradov, Ilya}, title = {Central limit theorems for simultaneous {Diophantine} approximations}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {1--35}, publisher = {Ecole polytechnique}, volume = {4}, year = {2017}, doi = {10.5802/jep.37}, mrnumber = {3583273}, zbl = {1387.60046}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jep.37/} }