2 papers
math.DS2025
Existence and Nonexistence of Invariant Curves of Coin Billiards
Santiago Barbieri, Andrew Clarke
In this paper we consider the coin billiard introduced by M. Bialy. It is a modification of the classical billiard, obtained as the return map of a nonsmooth geodesic flow on a cyl…
math.DS2024
Chaotic properties for billiards in circular polygons
Andrew Clarke, Rafael RamÃrez-Ros
We study billiards in domains enclosed by circular polygons. These are closed strictly convex curves formed by finitely many circular arcs. We prove the existence of a set in…