Ergodicity of billiard flows and quadratic differentials
The paper is concerned with polygonal billiards in the plane. Its main result is that the set of polygons with an ergodic billiard flow contains a dense \(G_{\delta}\). It is obtained as a corollary of a result the authors prove about Riemannian surfaces and quadratic differentials.
scientific article; zbMATH DE number 4038840