%0 Journal Article %A Artur Avila %A Jacopo De Simoi %A Vadim Kaloshin %T An integrable deformation of an ellipse of small eccentricity is an ellipse %J Annals of mathematics %D 2016 %P 527-558 %V 184 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.184.2.5/ %R 10.4007/annals.2016.184.2.5 %G en %F 10_4007_annals_2016_184_2_5