97-554 N. Chernov and S. Troubetzkoy

Ergodicity of Billiards in Polygons with Pockets (28K, LATeX) Oct 22, 97

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Abstract. The billiard in a polygon is not always ergodic and never K-mixing or Bernoulli. Here we consider billiard tables by attaching disks to each vertex of an arbitrary simply connected, convex polygon. We show that the billiard on such a table is ergodic, K-mixing and Bernoulli.

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