Diffractive point sets with entropy

  title={Diffractive point sets with entropy},
  author={Michael Baake and Robert V. Moody},
  journal={Journal of Physics A},
  • M. BaakeR. Moody
  • Published 1 September 1998
  • Computer Science
  • Journal of Physics A
After a brief historical survey, this paper introduces the notion of entropic model sets (cut and project sets), and, more generally, the notion of diffractive point sets with entropy. Such sets may be thought of as generalizations of lattice gases. We show that taking the site occupation of a model set stochastically results, with probabilistic certainty, in well-defined diffractive properties augmented by a constant diffuse background. We discuss both the case of independent, but identically… 

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