Exploració per tema "Birkhoff's conjecture"
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On Birkhoff's conjecture about convex billiards
(1995)
Article
Accés obertBirkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable.