31 citations · 31 across the 8 of their papers we have counts for
9 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 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…
Projective configuration theorems: old wine into new wineskins
S. Tabachnikov
This is a survey of select recent results by a number of authors, inspired by the classical configuration theorems of projective geometry.