46 citations · 67 across the 5 of their papers we have counts for
4 papers · 1 filter
Semicircle law and freeness for random matrices with symmetries or correlations
Jeffrey H. Schenker, Hermann Schulz-Baldes
For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective…
Quantization of edge currents for continuous magnetic operators
Johannes Kellendonk, Hermann Schulz-Baldes
For a magnetic Hamiltonian on a half-plane given as the sum of the Landau operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge cu…
Lifshitz tails for the 1D Bernoulli-Anderson model
Hermann Schulz-Baldes
By using the adequate modified Prüfer variables, precise upper and lower bounds on the density of states in the (internal) Lifshitz tails are proven for a 1D Anderson model with bo…
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…