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We study the Anderson metal-insulator transition for non ergodic randomSchr\"odinger operators in both annealed and quenched regimes, based on adynamical approach of localization, improving known results for ergodicoperators into this more general setting. In the procedure, we reformulate theBootstrap Multiscale Analysis of Germinet and Klein to fit the non ergodicsetting. We obtain uniform Wegner Estimates needed to perform this adaptedMultiscale Analysis in the case of Delone-Anderson type potentials, that is,Anderson potentials modeling aperiodic solids, where the impurities lie on aDelone set rather than a lattice, yielding a break of ergodicity. As anapplication we study the Landau operator with a Delone-Anderson potential andshow the existence of a mobility edge between regions of dynamical localizationand dynamical delocalization.

Characterization of the Anderson metal-insulator transition for non ergodic operators and application