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math.DS2019
Chaotic Delone sets
Jesús Antonio Álvarez López, Ramón Barral Lijó, John Hunton +2
We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of -Delone sets for . We also present a hyperbolic analogue of the…
math.DS2016
Minimizing length of billiard trajectories in hyperbolic polygons
John R. Parker, Norbert Peyerimhoff, Karl Friedrich Siburg
Closed billiard trajectories in a polygon in the hyperbolic plane can be coded by the order in which they hit the sides of the polygon. In this paper, we consider the average lengt…