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On pattern entropy of weak model sets

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 نشر من قبل Christoph Richard
 تاريخ النشر 2014
  مجال البحث فيزياء
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We study point sets arising from cut-and-project constructions. An important class is weak model sets, which include squarefree numbers and visible lattice points. For such model sets, we give a non-trivial upper bound on their pattern entropy in terms of the volume of the window boundary in internal space. This proves a conjecture by R.V. Moody.

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