Ergodicity of billiard flows and quadratic differentials
type: Item
instance of: scholarly article
title: Ergodicity of billiard flows and quadratic differentials
zbMATH Open document ID: 0637.58010
DOI: 10.2307/1971280
author: Steven P. Kerckhoff
author: John Smillie
author: Howard Masur
published in: Annals of Mathematics. Second Series
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 30F99
zbMATH DE Number: 4038840
zbMATH Keywords: polygonal billiards
zbMATH Keywords: ergodic billiard flow
Wikidata QID: Q56873220
reviewed by: Hans Crauel
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/1971280
OpenAlex ID: W1993488772
description: scientific article; zbMATH DE number 4038840