38 citations · 351 across the 26 of their papers we have counts for
5 papers · 1 filter
Forward limit sets of semigroups of substitutions
Ibai Aedo, Uwe Grimm, Ian Short
We introduce the forward limit set of a semigroup generated by a family of substitutions of a finite alphabet, which typically coincides with the set of all possible s-adic…
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…
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…
Hexagonal inflation tilings and planar monotiles
Michael Baake, Franz Gähler, Uwe Grimm
Aperiodic tilings with a small number of prototiles are of particular interest, both theoretically and for applications in crystallography. In this direction, many people have trie…