Localization for a continuum Cantor-Anderson Hamiltonian
Localization for a continuum Cantor-Anderson Hamiltonian
We prove localization at the bottom of the spectrum for a random Schrödinger operator in the continuum with a single-site potential probability distribution supported by a Cantor set of zero Lebesgue measure.This distribution is too singular to be treated by the usual methods.In particular, an "a priori" Wegner estimate is …