Friday, April 1, 2016

Elementary approach to closed billiard trajectories in asymmetric normed spaces

Arseniy Akopyan
(IST Austria)

Abstract: We apply the technique of Karoly Bezdek and Daniel Bezdek to study the billiards in convex bodies, when the length is measured with a (possibly asymmetric) norm. We give elementary proofs of some known results and prove an estimate for the shortest closed billiard trajectory, related to the non-symmetric Mahler problem. (joint work with A. M. Balitskiy, R. N. Karasev, and A. Sharipova)

Friday, April 1, 2016
Time: 11h00
Room: C6.2.33, Faculdade de Ciências, UL