Minkowski and symplectic billiards are related by symplectic reduction, so symplectic billiards act as a square root of a symplectic Minkowski system, giving new even-period orbit bounds in higher dimensions.
Artstein-Avidan, D
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Symplectic billiards as Minkowski billiards
Minkowski and symplectic billiards are related by symplectic reduction, so symplectic billiards act as a square root of a symplectic Minkowski system, giving new even-period orbit bounds in higher dimensions.