147 citations · 259 across the 7 of their papers we have counts for
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math-ph1998
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…
math-ph1998
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…
math-ph1998
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…