Álvarez López, Jesús AntonioBarral Lijó, RamónHunton, JohnNozawa, HirakuParker, John2024-02-052024-02-052021-08Álvarez López, J.A., Barral Lijó, R., Hunton, J., Nozawa, H., Parker, J.R. (2021). Chaotic Delone sets, "Discrete Contin. Dyn. Syst.", vol. 41, 3781-3796.http://hdl.handle.net/10347/32288This article has been published in a revised form in Discrete and Continuous Dynamical Systems [http://dx.doi.org/10.3934/dcds.2021016]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.We present a definition of chaotic Delone set and establish the genericity of chaos in the space of $(\epsilon,\delta)$-Delone sets for $\epsilon\ge\delta$. We also present a hyperbolic analog of the cut-and-project method that naturally produces examples of chaotic Delone sets.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Delone setchaostilingfoliated spacehyperbolic dynamical systemgeodesic flow110206 Fundamentos de matemáticasjournal article10.3934/dcds.2021016open access