On the Fröhlich-Spencer-estimate in the theory of Anderson localization (Q1173610)

The notion of Anderson localization referes to the appearance of pure point spectrum with exponentially localized eigenstates within the spectrum of Schrödinger operators, in particular random Schrödinger operators on integer lattices. By \textit{J. Fröhlich} and \textit{T. Spencer} [Commun. Math. Phys. 88, 151-184 (1983; Zbl 0519.60066)] was made new and fundamental estimate concerning the exponential decay properties of the associated Green's function for energy values close to the spectrum. The purpose of this paper is to describe an approach to the Fröhlich- Spencer estimate which avoids many of the technicalities of the proofs given so far.