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math.DG2006
On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards
D. Genin, S. Tabachnikov
Following a recent paper by Baryshnikov and Zharnitskii, we consider outer billiards in the plane possessing invariant curves consisting of periodic orbits. We prove the existence…
math.DS2006★ 7 cited
Hyperbolic outer billiards : a first example
Daniel Genin
We present the first example of a hyperbolic outer billiard. More precisely we construct a one parameter family of examples which in some sense correspond to the Bunimovich billiar…