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arXiv · 2608.12618

Local finiteness of the number of reflections in semi-dispersing Minkowski billiards

Roman Barinov·Sergei Ivanov
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Abstract

We prove that in a semi-dispersing Minkowski billiard, that is a billiard in the complement of a collection of convex sets in a normed space with a smooth strictly convex norm, any billiard trajectory of finite length has only finitely many reflections off the walls.

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Roman Barinov, Sergei Ivanov. 2026-08-12. Local finiteness of the number of reflections in semi-dispersing Minkowski billiards. https://doi.org/10.1134/s0001434626602881

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