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Chaotic Delone sets

2019/12/11 by López, Jesús Antonio Álvarez, Lijó, Ramón Barral, Hunton, John +2
#37B50 #37D45 #52C23 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.05379

Abstract

We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of (ε,δ)-Delone sets for ε≥ δ. We also present a hyperbolic analogue of the cut-and-project method that naturally produces examples of chaotic Delone sets.

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