2 citations · 2 across the 5 of their papers we have counts for
6 papers
Outer Contact Billiards
Ana Chavez Caliz, Connor Jackman
We introduce outer contact billiards as an odd dimensional counterpart to outer symplectic billiards. Until now, outer billiards have only been considered in even dimensional sympl…
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…
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…
Moon in a puddle and the four-vertex theorem
Anton Petrunin, Sergio Zamora Barrera
We present a proof of the Moon in a puddle theorem, and use its key lemma to prove a generalization of the four-vertex theorem.