24 citations · 143 across the 29 of their papers we have counts for
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math.MG2019★ 1 cited
When different norms lead to same billiard trajectories?
Arseniy Akopyan, Roman Karasev
In this paper, extending the works of Milena Radnović and Serge Tabachnikov, we establish conditions for two different non-symmetric norms to define the same billiard reflection la…
math.MG2019
The Regge symmetry, confocal conics, and the Schläfli formula
Arseniy Akopyan, Ivan Izmestiev
The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asympt…