• Corpus ID: 6973678

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}
}
  • M. BaakeR. Moody
  • Published 3 September 1998
  • Mathematics
  • arXiv: Mathematical Physics
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… 

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