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On the ergodic properties of nowhere dispersing billiards

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Abstract

For billiards in two dimensional domains with boundaries containing only focusing and neutral regular components and satisfacting some geometrical conditionsB-property is proved. Some examples of three and more dimensional domains with billiards obeying this property are also considered.

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Communicated by J. L. Lebowitz

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Bunimovich, L.A. On the ergodic properties of nowhere dispersing billiards. Commun.Math. Phys. 65, 295–312 (1979). https://doi.org/10.1007/BF01197884

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