An integrable deformation of an ellipse of small eccentricity is an ellipse

作者：Avila Artur^*; De Simoi Jacopo; Kaloshin Vadim

来源：Annals of Mathematics, 2016, 184(2): 527-558.

DOI：10.4007/annals.2016.184.2.5

The classical Birkhoff conjecture claims, that the boundary of strictly convox integrable billiard table is necessarily an ellipse (or a circle as a special case). In this article we show that a version of this conjecture is true for tables bounded by small perturbations of ellipses of small eccentricity.

• 出版日期2016-9