Localization for a Matrix-valued Anderson Model

  title={Localization for a Matrix-valued Anderson Model},
  author={Hakim Boumaza},
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 sense. After looking at the regularity properties of the Lyapunov exponents and of the integrated density of states, we prove a Wegner… CONTINUE READING