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Self-Similar Measures for Quasicrystals

Michael Baake·Robert V. Moody
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Abstract

We study self-similar measures of Hutchinson type, defined by compact families of contractions, both in a single and multi-component setting. The results are applied in the context of general model sets to infer, via a generalized version of Weyl's Theorem on uniform distribution, the existence of invariant measures for families of self-similarities of regular model sets.

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Michael Baake, Robert V. Moody. 2000-08-08. Self-Similar Measures for Quasicrystals. https://arxiv.org/abs/math/0008063

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