Model sets with positive entropy in Euclidean cut and project schemes

Tobias Jäger; Daniel Lenz; Christian Oertel

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arXiv · 1605.01167

Model sets with positive entropy in Euclidean cut and project schemes

Tobias Jäger·Daniel Lenz·Christian Oertel

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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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Tobias Jäger, Daniel Lenz, Christian Oertel. 2016-05-04. Model sets with positive entropy in Euclidean cut and project schemes. https://arxiv.org/abs/1605.01167

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