Self-Similar Measures for Quasicrystals
  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. 
Michael Baake (Tuebingen) and Robert V. Moody (Edmonton)