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Diffractive point sets with entropy

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 نشر من قبل Michael Baake
 تاريخ النشر 1998
  مجال البحث فيزياء
والبحث باللغة English
 تأليف M. Baake




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After a brief historical survey, the 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 distributed (i.i.d.) random variables and that of independent, but different (i.e., site dependent) random variables. Several examples are shown.



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