33 citations · 71 across the 7 of their papers we have counts for
5 papers · 1 filter
The Entropy of Square-Free Words
Michael Baake, Veit Elser, Uwe Grimm
Finite alphabets of at least three letters permit the construction of square-free words of infinite length. We show that the entropy density is strictly positive and derive reasona…
Symmetry Structure of the Elser-Sloane Quasicrystal
Michael Baake, Franz Gähler
The 4D quasicrystal of Elser and Sloane, obtained from the root lattice E8 by the cut-and-project method, can be parametrized by the points of an 8D torus. This allows for an expli…
Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules
Michael Baake, Robert V. Moody
The problem of invariance and self-similarity in Z-modules is investigated. For a selection of examples relevant to quasicrystals, especially Fibonacci modules, we determine the se…
Self-Similarities and Invariant Densities for Model Sets
Michael Baake, Robert V. Moody
Model sets (also called cut and project sets) are generalizations of lattices. Here we show how the self-similarities of model sets are a natural replacement for the group of trans…
Multi-Component Model Sets and Invariant Densities
Michael Baake, Robert V. Moody
Model sets (also called cut and project sets) are generalizations of lattices, and multi-component model sets are generalizations of lattices with colourings. In this paper, we stu…