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Symplectic billiards as Minkowski billiards
Peter Albers, Ana Chavez Caliz, Serge Tabachnikov
We establish a connection between Minkowski billiards and symplectic billiards, two classes of dynamical systems that have been studied largely independently. We show that the Mink…
Outer length billiards on a large scale
Peter Albers, Lael Edwards-Costa, Serge Tabachnikov
We present some foundational results about the outer length billiard system, including its generating function and the invariant area form. We describe the limiting behavior of the…
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…