Answers are grounded in this paper and cite their sources.
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 . Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.
No takes yet. Share an insight, caveat, or question.
Artstein-Avidan et al. (2012) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: