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arXiv · 1912.05379

Chaotic Delone sets

Jesús Antonio Álvarez López·Ramón Barral Lijó·John Hunton·Hiraku Nozawa·John R. Parker
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Abstract

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

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Jesús Antonio Álvarez López, Ramón Barral Lijó, John Hunton, Hiraku Nozawa, John R. Parker. 2019-12-11. Chaotic Delone sets. https://arxiv.org/abs/1912.05379

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