80 citations · 370 across the 15 of their papers we have counts for
11 papers · 1 filter
Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges
François Germinet, Frédéric Klopp
We consider the discrete Anderson model and prove enhanced Wegner and Minami estimates where the interval length is replaced by the IDS computed on the interval. We use these estim…
Conductivity and the current-current correlation measure
J. M. Combes, F. Germinet, P. D. Hislop
We review various formulations of conductivity for one-particle Hamiltonians and relate them to the current-current correlation measure. We prove that the current-current correlati…
Dynamical mobility edge for various random Landau Hamiltonians
François Germinet, Constanza Rojas-Molina
We review recent results obtained within the framework of the integer quantum Hall effect in the spirit of the work of Germinet, Klein, Schenker in \cite{GKS}. Landau Hamiltonians…
Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians
François Germinet, Abel Klein, Jeffrey H. Schenker
We prove quantization of the Hall conductance for continuous ergodic Landau Hamiltonians under a condition on the decay of the Fermi projections. This condition and continuity of t…
Generalized eigenvalue-counting estimates for the Anderson model
Jean-Michel Combes, François Germinet, Abel Klein
We generalize Minami's estimate for the Anderson model and its extensions to eigenvalues, allowing for arbitrary intervals and arbitrary single-site probability measures wi…
Persistence of Anderson localization in Schrödinger operators with decaying random potentials
Alexander Figotin, François Germinet, Abel Klein +1
We show persistence of both Anderson and dynamical localization in Schrödinger operators with non-positive (attractive) random decaying potential. We consider an Anderson-type Schr…