Three variations on a theme by Fibonacci
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Publication:4959349
DOI10.1142/S0219493721400013zbMath1479.37020arXiv1910.00988MaRDI QIDQ4959349
Natalie Priebe Frank, Michael Baake, Uwe Grimm
Publication date: 13 September 2021
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00988
Fractals (28A80) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Relations between ergodic theory and number theory (37A44) Tiling dynamics (37B52)
Related Items (3)
Fibonacci direct product variation tilings ⋮ Eberlein decomposition for PV inflation systems ⋮ Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings
Cites Work
- Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples
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- Diffraction of stochastic point sets: Explicitly computable examples
- Ergodic theory on compact spaces
- Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings
- Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
- Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
- Dynamics of self-similar tilings
- On the Pisot Substitution Conjecture
- Generalized $\beta$-expansions, substitution tilings, and local finiteness
- APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS
- Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction
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