Found 30 Documents (Results 1–30)
Forward limit sets of semigroups of substitutions. arXiv:2305.00078
Preprint, arXiv:2305.00078 [math.DS] (2023).
On long arithmetic progressions in binary Morse-like words. arXiv:2101.02056
Preprint, arXiv:2101.02056 [math.CO] (2021).
Inflation versus projection sets in aperiodic systems: the role of the window in averaging and diffraction. (English) Zbl 1543.37026
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. (English) Zbl 1462.11060
Reviewer: Symon Serbenyuk (Kyïv)
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. (English) Zbl 1457.52016
Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 359-395 (2020).
Reviewer: George Stoica (Saint John)
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. (English) Zbl 1419.37017
Diffraction of a model set with complex windows. arXiv:1904.08285
Preprint, arXiv:1904.08285 [math.DS] (2019).
Spectral analysis of a family of binary inflation rules. (English) Zbl 1406.37014
Reviewer: Wolfgang Steiner (Sydney)
Substitution-based structures with absolutely continuous spectrum. (English) Zbl 1393.37019
MSC:
37B50
37B10
Aperiodic order. (English) Zbl 1417.37017
Bullett, Shaun (ed.) et al., Dynamical and complex systems. Hackensack, NJ: World Scientific. LTCC Adv. Math. Ser. 5, 41-80 (2017).
Spectrum of a Rudin-Shapiro-like sequence. (English) Zbl 1375.37035
Reviewer: Michael Baake (Bielefeld)
Diffraction of a binary non-Pisot inflation tiling. arXiv:1706.04448
Preprint, arXiv:1706.04448 [math-ph] (2017).
Substitution-based sequences with absolutely continuous diffraction. arXiv:1611.05733
Preprint, arXiv:1611.05733 [math.CO] (2016).
Mini-workshop: Dynamical versus diffraction spectra in the theory of quasicrystals. Abstracts from the mini-workshop held November 30 – December 6, 2014. (English) Zbl 1349.00045
Squirals and beyond: substitution tilings with singular continuous spectrum. (English) Zbl 1315.37015
Reviewer: Thomas B. Ward (Durham)
MSC:
37B50
Examples of substitution systems and their factors. (English) Zbl 1336.37012
Reviewer: Juan Luis García Guirao (Cartagena)
Aperiodic order. Volume 1. A mathematical invitation. (English) Zbl 1295.37001
Encyclopedia of Mathematics and its Applications 149. Cambridge: Cambridge University Press (ISBN 978-0-521-86991-1/hbk). xvi, 531 p. (2013).
Reviewer: A. C. D. van Enter (Groningen)
Scaling of the Thue-Morse diffraction measure. arXiv:1311.4371
Preprint, arXiv:1311.4371 [math-ph] (2013).
Hexagonal inflation tilings and planar monotiles. (English) Zbl 1351.37070
MSC:
37B50
52C23
On the notions of symmetry and aperiodicity for Delone sets. (English) Zbl 1351.37071
MSC:
37B50
52C23
Squiral diffraction. arXiv:1211.5471
Preprint, arXiv:1211.5471 [cond-mat.dis-nn] (2012).
Diffraction of limit periodic point sets. arXiv:1007.0707
Preprint, arXiv:1007.0707 [math-ph] (2010).
Surprises in aperiodic diffraction. arXiv:0909.5605
Preprint, arXiv:0909.5605 [math-ph] (2009).
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns. (English) Zbl 1185.37029
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