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math.DS2021★ 15 cited
Billiard Ordered Games and Books
Vladimir Dragovic, Sean Gasiorek, Milena Radnovic
The aim of this work is to put together two novel concepts from the theory of integrable billiards: billiard ordered games and confocal billiard books. Billiard books appeared rece…
math.DS2021
Resonance of ellipsoidal billiard trajectories and extremal rational functions
Vladimir Dragovic, Milena Radnovic
We study resonant billiard trajectories within quadrics in the -dimensional Euclidean space. We relate them to the theory of approximation, in particular the extremal rational f…