69 citations · 266 across the 20 of their papers we have counts for
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nlin.SI2011★ 10 cited
Billiard algebra, integrable line congruences, and double reflection nets
Vladimir Dragovic, Milena Radnovic
The billiard systems within quadrics, playing the role of discrete analogues of geodesics on ellipsoids, are incorporated into the theory of integrable quad-graphs. An initial obse…
math.AG2011★ 47 cited
Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
Vladimir Dragovic, Milena Radnovic
We study geometry of confocal quadrics in pseudo-Euclidean spaces of an arbitrary dimension and any signature, and related billiard dynamics. The goal is to give a complete des…