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arXiv · 1412.6307

On pattern entropy of weak model sets

Christian Huck·Christoph Richard
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Abstract

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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Christian Huck, Christoph Richard. 2015-07-10. On pattern entropy of weak model sets. https://doi.org/10.1007/s00454-015-9718-6

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