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NEARLY CIRCULAR DOMAINS WHICH ARE INTEGRABLE CLOSE TO THE BOUNDARY ARE ELLIPSES

Huang, G; Kaloshin, V; Sorrentino, A

Huang, G (reprint author), Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China.

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018; 28 (2): 334

Abstract

The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider ......

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