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arXiv · 1111.2353

Bounds for Minkowski Billiard Trajectories in Convex Bodies

Shiri Artstein-Avidan·Yaron Ostrover
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Abstract

In this paper we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smooth convex body in ${\mathbb R}^{n}$. Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.

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Shiri Artstein-Avidan, Yaron Ostrover. 2011-11-09. Bounds for Minkowski Billiard Trajectories in Convex Bodies. https://arxiv.org/abs/1111.2353

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