Equicontinuous factors, proximality and Ellis semigroup for Delone sets

Jean-Baptiste Aujogue (1) , Marcy Barge (2) , Johannes Kellendonk (1) , D. Lenz (3)

1 PSPM - Probabilités, statistique, physique mathématique
2 Department of Mathematical Sciences
3 Mathematisches Institut

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.

Domaines: Systèmes dynamiques [math.DS]

Jean-Baptiste Aujogue, Marcy Barge, Johannes Kellendonk, D. Lenz. Equicontinuous factors, proximality and Ellis semigroup for Delone sets. 2014. ⟨hal-01025335⟩