Abstract
Periodic trajectories of billiards in rational polygons satisfying the Veech alternative, in particular, in right triangles with an acute angle of the form π/n with integern are considered. The properties under investigation include: symmetry of periodic trajectories, asymptotics of the number of trajectories whose length does not exceed a certain value, stability of periodic billiard trajectories under small deformations of the polygon.
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Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 66–75, July, 1997.
Translated by V. N. Dubrovsky
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Vorobets, Y.B. Billiards in rational polygons: Periodic trajectories, symmetries, and d-stability. Math Notes 62, 56–63 (1997). https://doi.org/10.1007/BF02356064
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DOI: https://doi.org/10.1007/BF02356064