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arxiv: 1012.5593 · v3 · pith:46PGWHUOnew · submitted 2010-12-27 · 🧮 math.DS · math.AT

On the multiplicity of non-iterated periodic billiard trajectories

classification 🧮 math.DS math.AT
keywords trajectoriesbilliardmultiplicitynon-iteratedperiodicapplycompactconvex
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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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