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We propose a simplified version of the Multi-Scale Analysis of tight-bindingAnderson models with strongly mixing random potentials which leads directly touniform exponential bounds on decay of eigenfunctions in arbitrarily largefinite subsets of a lattice. Naturally, these bounds imply also dynamicallocalization and exponential decay of eigenfunctions on the entire lattice.

Direct Scaling Analysis of localization in disordered systems. I. Single-particle models