16 citations · 20 across the 2 of their papers we have counts for
2 papers
math.MG2018★ 4 cited
Viterbo's conjecture for certain Hamiltonians in classical mechanics
Roman Karasev, Anastasia Sharipova
We study some particular cases of Viterbo's conjecture relating volumes of convex bodies and actions of closed characteristics on their boundaries, focusing on the case of a Hamilt…
math.MG2014★ 16 cited
Elementary approach to closed billiard trajectories in asymmetric normed spaces
Arseniy V. Akopyan, Alexey M. Balitskiy, Roman N. Karasev +1
We apply the technique of Károly Bezdek and Daniel Bezdek to study billiard trajectories in convex bodies, when the length is measured with a (possibly asymmetric) norm. We prove a…