Localization for discrete one-dimensional random word models

Academic Article

Abstract

  • We consider Schrödinger operators in ℓ2(ℤ) whose potentials are obtained by randomly concatenating words from an underlying set W according to some probability measure ν on W. Our assumptions allow us to consider models with local correlations, such as the random dimer model or, more generally, random polymer models, We prove spectral localization and, away from a finite set of exceptional energies, dynamical localization for such models. These results are obtained by employing scattering theoretic methods together with Furstenberg's theorem to verify the necessary input to perform a multiscale analysis. © 2003 Elsevier Inc. All rights reserved.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Damanik D; Sims R; Stolz G
  • Start Page

  • 423
  • End Page

  • 445
  • Volume

  • 208
  • Issue

  • 2