48 citations · 65 across the 7 of their papers we have counts for
9 papers
Some remarks on spectral averaging and the local density of states for random Schrödinger operators on
J. M. Combes, P. D. Hislop
We prove some local estimates on the trace of spectral projectors for random Schrödinger operators restricted to cubes . We also present a new proof of the spectral a…
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…
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…
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…
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…