7 citations · 12 across the 3 of their papers we have counts for
6 papers
A short proof of the characterization of model sets by almost automorphy
Jean-baptiste Aujogue
The aim of this note is to provide a conceptually simple demonstration of the fact that repetitive model sets are characterized as the repetitive Meyer sets with an almost automorp…
Pure point/Continuous decomposition of translation-bounded measures and diffraction
Jean-baptiste Aujogue
In this work we consider translation-bounded measures over a locally compact Abelian group , with particular interest for their so-called diffraction. Given such a meas…
Optimal embedding of Meyer sets into model sets
Jean-baptiste Aujogue
We give a constructive proof that a repetitive Meyer multiple set of admits a smallest model multiple set containing it colorwise.
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…
On embedding of repetitive Meyer multiple sets into model multiple sets
Jean-baptiste Aujogue
Model sets are always Meyer sets but the converse is generally not true. In this work we show that for a repetitive Meyer multiple sets of with associated dynamical…
Ellis enveloping semigroup for almost canonical model sets of an Euclidean space
Jean-Baptiste Aujogue
We consider certain point patterns of an Euclidean space and calculate the Ellis enveloping semigroup of their associated dynamical systems. The algebraic structure and the topolog…