148 citations · 677 across the 41 of their papers we have counts for
13 papers · 1 filter
Almost automorphic and bijective factors of substitution shifts
Alvaro Bustos-Gajardo, Johannes Kellendonk, Reem Yassawi
In this article we completely characterise constant length substitution shifts which have an almost automorphic factor, or which have a bijective substitution factor. Our approach…
Tame or wild Toeplitz shifts
Gabriel Fuhrmann, Johannes Kellendonk, Reem Yassawi
We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli-Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only…
Complete regularity of Ellis semigroups of -actions
Marcy Barge, Johannes Kellendonk
It is shown that the Ellis semigroup of a -action on a compact totally disconnected space is completely regular if and only if forward proximality coincides with forward…
The Ellis semigroup of bijective substitutions
Johannes Kellendonk, Reem Yassawi
For topological dynamical systems with abelian group which admit an equicontinuous factor the Ellis semigroup is an extension of by…
Equicontinuous factors, proximality and Ellis semigroup for Delone sets
Jean-baptiste Aujogue, Marcy Barge, Johannes Kellendonk +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 fa…
Conjugacies of model sets
Johannes Kellendonk, Lorenzo Sadun
Let be a model set meeting two simple conditions: (1) the internal space is a product of and a finite group, and (2) the window is a finite union of disjoint poly…