The local geometry of chaotic billiards
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Demetris P.K. Ghikas; Vassiliki Harbila
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Article
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1999
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Elsevier Science
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English
⚖ 133 KB
For a billiard of a general shape a transformation is introduced which projects the boundary on the unit circle. This introduces a non-Euclidean metric on the plane which contains all relevant information of the shape of the boundary. Classically the straight lines of the free motion correspond to g