Chaotic Delone sets
Jes\'us Antonio \'Alvarez L\'opez, Ram\'on Barral Lij\'o, John Hunton,, Hiraku Nozawa, and John R. Parker

TL;DR
This paper introduces the concept of chaotic Delone sets, proves that chaos is generic among certain Delone sets, and provides a hyperbolic cut-and-project method to generate examples of such chaotic sets.
Contribution
It defines chaotic Delone sets, demonstrates their genericity, and develops a hyperbolic analogue of the cut-and-project method for constructing these sets.
Findings
Chaos is generic in the space of $(psilon,elta)$-Delone sets for psilon elta
A hyperbolic cut-and-project method produces examples of chaotic Delone sets
The paper establishes a new framework linking chaos and Delone sets
Abstract
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 cut-and-project method that naturally produces examples of chaotic Delone sets.
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