Localization for a Matrix-valued Anderson Model


We study localization properties for a class of one-dimensional, matrix-valued, continuous, random Schrödinger operators, acting on L2(R) ⊗ C , for arbitrary N ≥ 1. We prove that, under suitable assumptions on the Fürstenberg group of these operators, valid on an interval I ⊂ R, they exhibit localization properties on I, both in the spectral and dynamical… (More)