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- W2000367146 abstract "In the space of all polygons, a topologically massive subset consisting of polygons with ergodic billiard flows is explicitly described. The elements of this set have a specified order of approximation by rational polygons. As intermediate results, constructive versions of the ergodic theorem for the billiard in a rational polygon and for the geodesic flow on a surface with flat structure, and also a constructive quadratic estimate for the growth of the number of saddle connections (singular trajectories) in a flat structure, are proved." @default.
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- W2000367146 date "1997-04-30" @default.
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- W2000367146 title "Ergodicity of billiards in polygons" @default.
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- W2000367146 doi "https://doi.org/10.1070/sm1997v188n03abeh000211" @default.
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