38 citations · 351 across the 26 of their papers we have counts for
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Three variations on a theme by Fibonacci
Michael Baake, Natalie Priebe Frank, Uwe Grimm
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 diffract…
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings
Michael Baake, Uwe Grimm
Primitive inflation tilings of the real line with finitely many tiles of natural length and a Pisot--Vijayaraghavan unit as inflation factor are considered. We present an approach…
Quasicrystals
Uwe Grimm, Peter Kramer
Mathematicians have been interested in non-periodic tilings of space for decades; however, it was the unexpected discovery of non-periodically ordered structures in intermetallic a…
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions
Michael Baake, Uwe Grimm
For point sets and tilings that can be constructed with the projection method, one has a good understanding of the correlation structure, and also of the corresponding spectra, bot…
Diffraction of a model set with complex windows
Michael Baake, Uwe Grimm
The well-known plastic number substitution gives rise to a ternary inflation tiling of the real line whose inflation factor is the smallest Pisot-Vijayaraghavan number. The corresp…