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