Ergodicity of billiard flows and quadratic differentials (Q1098460)

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scientific article; zbMATH DE number 4038840
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Ergodicity of billiard flows and quadratic differentials
scientific article; zbMATH DE number 4038840

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    Ergodicity of billiard flows and quadratic differentials (English)
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    1986
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    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.
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    polygonal billiards
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    ergodic billiard flow
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