S. Troubetzkoy

UPR 9016 - Campus de Luminy, Case 907, Cedex 9, 13288, Marseille, France
Institut de Mathematiques de Luminy (IML), Marseille, France


Troubetzkoy S.
Recurrence and periodic billiard orbits in polygons
2004, vol. 9, no. 1, pp.  1-12
We show that almost all billiard trajectories return parallel to themselves for rank $1$, ergodic polygons. Applications are given to the existence of periodic trajectories.
Citation: Troubetzkoy S.,  Recurrence and periodic billiard orbits in polygons , Regular and Chaotic Dynamics, 2004, vol. 9, no. 1, pp. 1-12

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