RT Journal Article
T1 Chaotic Delone sets
A1 Álvarez López, Jesús Antonio
A1 Barral Lijó, Ramón
A1 Hunton, John
A1 Nozawa, Hiraku
A1 Parker, John
K1 Delone set
K1 chaos
K1 tiling
K1 foliated space
K1 hyperbolic dynamical system
K1 geodesic flow
AB 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.
PB American Institute of Mathematical Sciences
YR 2021
FD 2021-08
LK http://hdl.handle.net/10347/32288
UL http://hdl.handle.net/10347/32288
LA eng
NO Álvarez 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.
NO This 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.
NO FEDER/Ministerio de Ciencia, Innovación y Universidades/AEI/MTM2017-89686-P [A.L., B.L., H.N.]; Xunta de Galicia/ED431C 2019/10 [A.L., B.L., H.N.]; JSPS Grant-in-Aid for Scientific Research 17K14195 [H.N]; Canon Foundation in Europe Research Fellowship [B.L].
DS Minerva
RD 4 may 2026