96 citations · 715 across the 37 of their papers we have counts for
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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…
The Liouville equation for singular ergodic magnetic Schrödinger operators
Yang Kang, Abel Klein
We study the time evolution of a density matrix in a quantum mechanical system described by an ergodic magnetic Schrödinger operator with singular magnetic and electric potentials,…
Poisson Statistics for Eigenvalues of Continuum Random Schrödinger Operators
Jean-Michel Combes, François Germinet, Abel Klein
We show absence of energy levels repulsion for the eigenvalues of random Schrödinger operators in the continuum. We prove that, in the localization region at the bottom of the spec…
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…