Characterization of the Anderson Metal–Insulator Transition for Non Ergodic Operators and Application

@article{RojasMolina2012CharacterizationOT,
  title={Characterization of the Anderson Metal–Insulator Transition for Non Ergodic Operators and Application},
  author={Constanza Rojas-Molina},
  journal={Annales Henri Poincar{\'e}},
  year={2012},
  volume={13},
  pages={1575-1611}
}
We study the Anderson metal–insulator transition for non ergodic random Schrödinger operators in both annealed and quenched regimes, based on a dynamical approach of localization, improving known results for ergodic operators into this more general setting. In the procedure, we reformulate the Bootstrap Multiscale Analysis of Germinet and Klein to fit the non ergodic setting. We obtain uniform Wegner Estimates needed to perform this adapted Multiscale Analysis in the case of Delone-Anderson… 

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