On the multiplicity of non-iterated periodic billiard trajectories

Details On the multiplicity of non-iterated periodic billiard trajectories On the multiplicity of non-iterated periodic billiard trajectories

2010-12-27

arxiv.org/abs/1012.5593v3

Pacific Journal of Mathematics 252 (2011), no. 1, 181-205

Mathematics

Dynamical Systems

21 pages, 2 figures; v3: final version, as published

Scientific paper

10.2140/pjm.2011.252.181

We introduce the iteration theory for periodic billiard trajectories in a
compact and convex domain of the Euclidean space, and we apply it to establish
a multiplicity result for non-iterated trajectories.

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