80 citations · 370 across the 15 of their papers we have counts for
16 papers
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…
Spectral statistics for random Schrödinger operators in the localized regime
François Germinet, Frédéric Klopp
We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy in the loca…
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 edge currents along magnetic barriers and magnetic guides
N. Dombrowski, F. Germinet, G. D. Raikov
We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated…
Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media
N. Dombrowski, F. Germinet, G. D. Raikov
In this note we consider a Landau Hamiltonian perturbed by a random magnetic potential of Anderson type. For a given number of bands, we prove the existence of both strongly locali…