Abstract
Ergodicity of two-dimensional billiards which satisfy some general conditions is proved. This theorem is applied to one concrete class of billiards that contains, in particular, billiards in the “stadium”.
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Communicated by Ya. G. Sinai
This paper was completed during the author's stay at Rutgers University where he was supported by NSF Grant DHS 89-01545 and at Courant Institute of Mathematical Sciences where he was supported by a Grant from the Alfred P. Sloan Foundation
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Bunimovich, L.A. A theorem on ergodicity of two-dimensional hyperbolic billiards. Commun.Math. Phys. 130, 599–621 (1990). https://doi.org/10.1007/BF02096936
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DOI: https://doi.org/10.1007/BF02096936