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arXiv · 2402.18782

Ivrii's conjecture for some cases in outer and symplectic billiards

Anastasiia Sharipova
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Abstract

We give a proof for $(2n + 1,n)$ and $(2n, n-1)$-periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards.

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Anastasiia Sharipova. 2024-02-29. Ivrii's conjecture for some cases in outer and symplectic billiards. https://doi.org/10.3934/dcds.2024117

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