# Multi-Component Model Sets and Invariant Densities

@article{Baake1998MultiComponentMS, title={Multi-Component Model Sets and Invariant Densities}, author={Michael Baake and Robert V. Moody}, journal={arXiv: Mathematical Physics}, year={1998} }

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 study self-similarities of multi-component model sets. The main point may be simply summarized: whenever there is a self-similarity, there are also naturally related density functions. As in the case of ordinary model sets, we show that invariant densities exist and that they produce absolutely continuous invariant…

## 20 Citations

### Self-Similarities and Invariant Densities for Model Sets

- Mathematics
- 2001

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A quasi-periodic packing of interpenetrating copies of , most of them only partially occupied, can be defined in terms of the strip projection method for any icosahedral cluster . We show that in the…

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