J. Kellendonk, H. Schulz-Baldes
Quantization of edge currents for continuous magnetic operators
(446K, Postscript)

ABSTRACT.  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 
currents is proven. This shows that the concept of edge 
channels also makes sense in presence of disorder. Moreover, 
gaussian bounds on the heat kernel and its covariant 
derivatives are obtained.