Ergodicity and dynamical localization for Delone–Anderson operators

@article{Germinet2015ErgodicityAD,
  title={Ergodicity and dynamical localization for Delone–Anderson operators},
  author={F. Germinet and P. Muller and Constanza Rojas-Molina},
  journal={Reviews in Mathematical Physics},
  year={2015},
  volume={27},
  pages={1550020}
}
  • F. Germinet, P. Muller, Constanza Rojas-Molina
  • Published 2015
  • Mathematics, Physics
  • Reviews in Mathematical Physics
  • 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 almost-sure spectrum of the family of random operators. We then exploit these results to study the Lifshitz-tail behavior of the integrated density of states of a… CONTINUE READING
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