Bounds for Minkowski Billiard trajectories in convex bodies

Research output: Contribution to journalArticlepeer-review


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 Rn. Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.

Original languageEnglish
Pages (from-to)165-193
Number of pages29
JournalInternational Mathematics Research Notices
Issue number1
StatePublished - 1 Jan 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Bounds for Minkowski Billiard trajectories in convex bodies'. Together they form a unique fingerprint.

Cite this