5 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…
On continuous 2-frieze patterns
Serge Tabachnikov
We define and study a continuous version of 2-frieze patterns, a combinatorial structure closely related with frieze patterns of Coxeter and Conway. We describe the relation of con…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
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…
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…