arXiv:1407.1787 Abstract | arXiv Analytics

arXiv:1407.1787 [math.DS]Abstract References Reviews Resources

Equicontinuous factors, proximality and Ellis semigroup for Delone sets

Jean-baptiste Aujogue, Marcy Barge, Johannes Kellendonk, Daniel Lenz

Published 2014-07-07Version 1

We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. We consider in particular, the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the enveloping semigroup of such systems.

Comments: 65 pages

Categories: math.DS

Subjects: 37B50, 52C22

Keywords: delone sets, ellis semigroup, delone dynamical system, maximal equicontinuous factor, proximality relation

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