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arXiv · 1601.03196

Angular Billiard and Algebraic Birkhoff conjecture

Michael Bialy·Andrey E. Mironov
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Abstract

In this paper we introduce a new dynamical system which we call Angular billiard. It acts on the exterior points of a convex curve in Euclidean plane. In a neighborhood of the boundary curve this system turns out to be dual to the Birkhoff billiard. Using this system we get new results on algebraic Birkhoff conjecture on integrable billiards.

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BibTeXRIS

Michael Bialy, Andrey E. Mironov. 2016-01-13. Angular Billiard and Algebraic Birkhoff conjecture. https://arxiv.org/abs/1601.03196

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