96 citations · 133 across the 6 of their papers we have counts for
6 papers
Ergodicity and dynamical localization for Delone-Anderson operators
François Germinet, Peter Müller, Constanza Rojas-Molina
We study the ergodic properties of Delone-Anderson operators, using the framework of randomly coloured Delone sets and Delone dynamical systems. In particular, we show the existenc…
Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators
Jean-Michel Combes, François Germinet, Abel Klein
We introduce and prove local Wegner estimates for continuous generalized Anderson Hamiltonians, where the single-site random variables are independent but not necessarily identical…
A comprehensive proof of localization for continuous Anderson models with singular random potentials
François Germinet, Abel Klein
We study continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any regularity condition on the single site probabili…
Linear Response Theory for Random Schrödinger Operators and Noncommutative Integration
N. Dombrowski, F. Germinet
We consider an ergodic Schrödinger operator with magnetic field within the non-interacting particle approximation. Justifying the linear response theory, a rigorous derivation of a…
Lifshitz tails estimate for the density of states of the Anderson model
Jean-Michel Combes, François Germinet, Abel Klein
We prove an upper bound for the (differentiated) density of states of the Anderson model at the bottom of the spectrum. The density of states is shown to exhibit the same Lifshitz…
Spectral statistics for the discrete Anderson model in the localized regime
François Germinet, Frédéric Klopp
We report on recent results on the spectral statistics of the discrete Anderson model in the localized phase. Our results show, in particular, that, for the discrete Anderson Hamil…