ELLIS ENVELOPING SEMIGROUP FOR ALMOST CANONICAL MODEL SETS

Jean-Baptiste Aujogue (1)

1 PSPM - Probabilités, statistique, physique mathématique

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]

Jean-Baptiste Aujogue. ELLIS ENVELOPING SEMIGROUP FOR ALMOST CANONICAL MODEL SETS. 2014. ⟨hal-00819097v2⟩