24 citations · 143 across the 29 of their papers we have counts for
Showing 2015 · math.MGShow all
2 papers · 2 filters
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…
math.MG2015★ 1 cited
Bounding minimal solid angles of polytopes
Arseniy Akopyan, Roman Karasev
In this article we study the following question: What can be the measure of the minimal solid angle of a simplex in ? We show that in dimensions three it is not great…