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On the multiplicity of non-iterated periodic billiard trajectories

Abstract : 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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Submitted on : Monday, November 28, 2016 - 11:47:12 AM
Last modification on : Wednesday, November 20, 2019 - 8:06:55 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:16:26 AM

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Marco Mazzucchelli. On the multiplicity of non-iterated periodic billiard trajectories. Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2011, 252, pp.181 - 205. ⟨10.2140/pjm.2011.252.181⟩. ⟨ensl-01404043⟩

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