From the 1 of 6 linked papers with an AI index.
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Symplectic billiards for pairs of polygons
Peter Albers, Fabian Lander, Jannik M. Westermann
The paper defines symplectic billiard dynamics for pairs of (possibly non‑convex) polygons, establishes criteria for when the billiard map is fully periodic, constructs many new ex…
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…