1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
Outer symplectic billiard map at infinity
Peter Albers, Ana Chavez Caliz, Serge Tabachnikov
We show that the second iteration of the outer symplectic billiard map with respect to a convex domain in a symplectic vector space is approximated by an explicit Hamilto…
Outer symplectic billiards
Peter Albers, Ana Chavez Caliz, Serge Tabachnikov
A submanifold of the standard symplectic space determines a partially defined, multi-valued symplectic map, the outer symplectic billiard correspondence. Two points are in this cor…
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…
Floer potentials, cluster algebras and quiver representations
Peter Albers, Maria Bertozzi, Markus Reineke
We use cluster algebras to interpret Floer potentials of monotone Lagrangian tori in toric del Pezzo surfaces as cluster characters of quiver representations.