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math.DS2016
On the Local Birkhoff Conjecture for Convex Billiards
Vadim Kaloshin, Alfonso Sorrentino
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard table is necessarily an ellipse (or a circle as a special case). In this article…
math.DS2016★ 13 cited
On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables
Guan Huang, Vadim Kaloshin, Alfonso Sorrentino
In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map, from the (…