The integral QHE can be explained either as resulting from bulk or
edge currents (or, in reality, as a combination of both). The equality
of the two conductances at zero temperature was recently established
for the case that the Fermi energy falls in the spectral gap of the bulk
system. We define the edge conductance via a suitable time averaging
procedure in the more general case of a bulk system which exhibits
dynamical localization in the vicinity of the Fermi energy, and show
that the two conductances are equal.
This is a joint work with G.-M. Graf and J. Schenker.