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Ergodicity and dynamical localization for Delone–Anderson operators

Ergodicity and dynamical localization for Delone–Anderson operators

We study the ergodic properties of Delone–Anderson operators, using the framework of randomly colored Delone sets and Delone dynamical systems. In particular, we show the existence of the integrated density of states and, under some assumptions on the geometric complexity of the underlying Delone sets, we obtain information on the …