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- W2014682238 abstract "We classify when local instability of orbits of closeby points can occur for billiards in two dimensional polygons, for billiards inside three dimensional polyhedra and for geodesic flows on surfaces of three dimensional polyhedra. We sharpen a theorem of Boldrighini, Keane and Marchetti. We show that polygonal and polyhedral billiards have zero topological entropy. We also prove that billiards in polygons are positive expansive when restricted to the set of non-periodic points. The methods used are elementary geometry and symbolic dynamics." @default.
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- W2014682238 date "1995-05-01" @default.
- W2014682238 modified "2023-10-18" @default.
- W2014682238 title "Local instability of orbits in polygonal and polyhedral billiards" @default.
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- W2014682238 doi "https://doi.org/10.1007/bf02099308" @default.
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