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      Model sets with positive entropy in Euclidean cut and project schemes

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          Abstract

          We construct model sets arising from cut and project schemes in Euclidean spaces whose associated Delone dynamical systems have positive toplogical entropy. The construction works both with windows that are proper and with windows that have empty interior. In a probabilistic construction, the entropy almost surely turns out to be proportional to the measure of the boundary of the window.

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          Author and article information

          Journal
          2016-05-04
          Article
          1605.01167

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          52C23, 37B50, 37B10
          math.DS

          Differential equations & Dynamical systems

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