Local finiteness of the number of reflections in semi-dispersing Minkowski billiards
arXiv:2608.12618 · doi:10.1134/S0001434626602881
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.
11 pages