Three variations on a theme by Fibonacci

Baake M, Frank NP, Grimm U (2021)
Stochastics and Dynamics 21(03): 2140001.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Baake, MichaelUniBi; Frank, Natalie Priebe; Grimm, Uwe
Abstract / Bemerkung
Several variants of the classic Fibonacci inflation tiling are considered in an illustrative fashion, in one and in two dimensions, with an eye on changes or robustness of diffraction and dynamical spectra. In one dimension, we consider extension mechanisms of deterministic and of stochastic nature, while we look at direct product variations in a planar extension. For the pure point part, we systematically employ a cocycle approach that is based on the underlying renormalization structure. It allows explicit calculations, particularly in cases where one meets regular model sets with Rauzy fractals as windows.
Stichworte
Inflation tilings; dynamical spectrum; diffraction; cocycle; Rauzy; fractals
Erscheinungsjahr
2021
Zeitschriftentitel
Stochastics and Dynamics
Band
21
Ausgabe
03
Art.-Nr.
2140001
ISSN
0219-4937
eISSN
1793-6799
Page URI
https://pub.uni-bielefeld.de/record/2956277

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Baake M, Frank NP, Grimm U. Three variations on a theme by Fibonacci. Stochastics and Dynamics. 2021;21(03): 2140001.
Baake, M., Frank, N. P., & Grimm, U. (2021). Three variations on a theme by Fibonacci. Stochastics and Dynamics, 21(03), 2140001. https://doi.org/10.1142/S0219493721400013
Baake, M., Frank, N. P., and Grimm, U. (2021). Three variations on a theme by Fibonacci. Stochastics and Dynamics 21:2140001.
Baake, M., Frank, N.P., & Grimm, U., 2021. Three variations on a theme by Fibonacci. Stochastics and Dynamics, 21(03): 2140001.
M. Baake, N.P. Frank, and U. Grimm, “Three variations on a theme by Fibonacci”, Stochastics and Dynamics, vol. 21, 2021, : 2140001.
Baake, M., Frank, N.P., Grimm, U.: Three variations on a theme by Fibonacci. Stochastics and Dynamics. 21, : 2140001 (2021).
Baake, Michael, Frank, Natalie Priebe, and Grimm, Uwe. “Three variations on a theme by Fibonacci”. Stochastics and Dynamics 21.03 (2021): 2140001.

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