A challenger to elliptic billiards fails: String construction over convex polygons and the Birkhoff–Poritsky conjecture
arxiv(2023)
摘要
We prove that the billiard claimed to be a possible counterexample to the
Birkhoff-Poritsky conjecture is actually not a counterexample. We also show
that for a billiard in a table obtained by the string construction over any
convex polygon, this polygon is a core of the billiard dynamics.
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