Geodesic
On the Asymptotic Distribution of Closed Orbits for a Class of Open Billiards
Serdica Mathematical Journal, Tome 35 (2010) no. 1, pp. 89-98.

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We explain why the lengths of the closed orbits in a certain class of open billiards are asymptotically equidistributed with respect to the number of their reflections.
Keywords: Billiard, Symbolic Dynamics, Periodic Orbits 
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Julien, Julien. On the Asymptotic Distribution of Closed Orbits for a Class of Open Billiards. Serdica Mathematical Journal, Tome 35 (2010) no. 1, pp. 89-98. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_1_a5/