ELLIS ENVELOPING SEMIGROUP FOR ALMOST CANONICAL MODEL SETS
Résumé
This work deals with certain point patterns of an Euclidean space, for which the calculation of the Ellis enveloping semigroup of their associated dynamical systems is performed. The algebraic structure and the topology of the Ellis semigroup, as well as its action on the underlying space, are explicitly described. The present work is illustrated with the treatment of the vertex pattern of the so-called Amman-Beenker tiling of the plane.
Domaines
Systèmes dynamiques [math.DS]
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