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math.MG2015★ 8 cited
Equality cases in Viterbo's conjecture and isoperimetric billiard inequalities
Alexey Balitskiy
In this note we apply the billiard technique to deduce some results on Viterbo's conjectured inequality between volume of a convex body and its symplectic capacity. We show that th…
math.MG2015
Billiards in convex bodies with acute angles
Arseniy Akopyan, Alexey Balitskiy
In this paper we investigate the existence of closed billiard trajectories in not necessarily smooth convex bodies. In particular, we show that if a body ha…