Equicontinuous factors, proximality and Ellis semigroup for Delone sets
  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. 
Jean-baptiste Aujogue, Marcy Barge, Johannes Kellendonk, Daniel Lenz
math.DS