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@article{faucris.242413918,
abstract = {The orbit closures of regular model sets generated from a cut-and-project scheme given by a co-compact lattice L subset of G x H and compact and aperiodic window W subset of H, have the maximal equicontinuous factor (MEF) (G x H)/L, if the window is toplogically regular. This picture breaks down, when the window has empty interior, in which case the MEF is trivial, although (G x H)/L continues to be the Kronecker factor for the Mirsky measure. As this happens for many interesting examples like the square-free numbers or the visible lattice points, a weaker concept of topological factors is needed, like that of generic factors [24]. For topological dynamical systems that possess a finite invariant measure with full support (E-systems) we prove the existence of a maximal equicontinuous generic factor (MEGF) and characterize it in terms of the regional proximal relation. This part of the paper profits strongly from previous work by McMahon [33] and Auslander [2]. In Sections 3 and 4 we determine the MEGF of orbit closures of weak model sets and use this result for an alternative proof (of a generalization) of the fact [34] that the centralizer of any B-free dynamical system of Erdos type is trivial.},
author = {Keller, Gerhard},
doi = {10.3934/dcds.2020132},
faupublication = {yes},
journal = {Discrete and Continuous Dynamical Systems},
note = {CRIS-Team WoS Importer:2020-09-11},
pages = {6855-6875},
peerreviewed = {Yes},
title = {{MAXIMAL} {EQUICONTINUOUS} {GENERIC} {FACTORS} {AND} {WEAK} {MODEL} {SETS}},
volume = {40},
year = {2020}
}