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math.DS2026
Symplectic Tiling Billiards on Complete Affine Tori
Charles Daly, Fabian Lander
In 2023, Richard Schwartz introduced a new dynamical system which is a marriage of two types of familiar billiards, tiling billiards and symplectic billiards. In this paper we inve…
math.DS2024
Symplectic billiards for pairs of polygons
Peter Albers, Fabian Lander, Jannik M. Westermann
We introduce symplectic billiards for pairs of possibly non-convex polygons. After establishing basic properties, we give several criteria on pairs of polygons for the symplectic b…