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
Abstract. We consider the collection of uniformly discrete point sets in Euclidean space equipped wi...
summary:We consider discrete dynamical systems whose phase spaces are compact metrizable countable s...
International audienceWe introduce two new characterizations of Meyer sets. A repetitive Delone set ...
We discuss the application of various concepts from the theory of topological dynamical systems to D...
International audienceWe discuss the application of various concepts from the theory of topological ...
International audienceWe characterize equicontinuous Delone dynamical systems as those coming from D...
This article has been published in a revised form in Discrete and Continuous Dynamical Systems [htt...
In the first half of this thesis we study the properties of the dynamical hull associated with model...
We present a definition of chaotic Delone set and establish the genericity of chaos in the space of ...
This work deals with certain point patterns of an Euclidean space, for which the calculation of the ...
International audienceThe notion of linearly recurrent subshift has been introduced in [Du, DHS] to ...
For topological dynamical systems (X,T,σ) with abelian group T, which admit an equicontinuous factor...
32 pagesInternational audienceWe investigate the role of the proximality relation for tiling dynamic...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
This thesis is centered around the study of topological dynamics and analytic topology, as well as a...
Abstract. We consider the collection of uniformly discrete point sets in Euclidean space equipped wi...
summary:We consider discrete dynamical systems whose phase spaces are compact metrizable countable s...
International audienceWe introduce two new characterizations of Meyer sets. A repetitive Delone set ...
We discuss the application of various concepts from the theory of topological dynamical systems to D...
International audienceWe discuss the application of various concepts from the theory of topological ...
International audienceWe characterize equicontinuous Delone dynamical systems as those coming from D...
This article has been published in a revised form in Discrete and Continuous Dynamical Systems [htt...
In the first half of this thesis we study the properties of the dynamical hull associated with model...
We present a definition of chaotic Delone set and establish the genericity of chaos in the space of ...
This work deals with certain point patterns of an Euclidean space, for which the calculation of the ...
International audienceThe notion of linearly recurrent subshift has been introduced in [Du, DHS] to ...
For topological dynamical systems (X,T,σ) with abelian group T, which admit an equicontinuous factor...
32 pagesInternational audienceWe investigate the role of the proximality relation for tiling dynamic...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
This thesis is centered around the study of topological dynamics and analytic topology, as well as a...
Abstract. We consider the collection of uniformly discrete point sets in Euclidean space equipped wi...
summary:We consider discrete dynamical systems whose phase spaces are compact metrizable countable s...
International audienceWe introduce two new characterizations of Meyer sets. A repetitive Delone set ...