Elementary approach to closed billiard trajectories in asymmetric normed spaces

Preprint English OPEN
Akopyan, Arseniy V.; Balitskiy, Alexey M.; Karasev, Roman N.; Sharipova, Anastasia;
(2014)
  • Related identifiers: doi: 10.1090/proc/13062
  • Subject: 52A20, 52A23, 53D35 | Mathematics - Dynamical Systems | Mathematics - Metric Geometry
    arxiv: Mathematics::Metric Geometry

We apply the technique of K\'aroly Bezdek and Daniel Bezdek to study billiard trajectories in convex bodies, when the length is measured with a (possibly asymmetric) norm. We prove a lower bound for the length of the shortest closed billiard trajectory, related to the n... View more
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