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Search: MSC category 37B50 ( Multi-dimensional shifts of finite type, tiling dynamics )

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1. CMB Online first

Aujogue, Jean-Baptiste
A short proof of the characterization of model sets by almost automorphy
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 automorphic associated dynamical system.

Keywords:Meyer set, model set, almost automorphy
Categories:37B50, 37B05

2. CMB 2005 (vol 48 pp. 302)

Yokonuma, Takeo
Discrete Sets and Associated Dynamical\\ Systems in a Non-Commutative Setting
We define a uniform structure on the set of discrete sets of a locally compact topological space on which a locally compact topological group acts continuously. Then we investigate the completeness of these uniform spaces and study these spaces by means of topological dynamical systems.

Categories:52C23, 37B50

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