Geometric & Functional Analysis GAFA

, Volume 11, Issue 1, pp 11–29

Multi-scale analysis implies strong dynamical localization

  • D. Damanik
  • P. Stollmann

DOI: 10.1007/PL00001666

Cite this article as:
Damanik, D. & Stollmann, P. GAFA, Geom. funct. anal. (2001) 11: 11. doi:10.1007/PL00001666

Abstract.

We prove that a strong form of dynamical localization follows from a variable energy multi-scale analysis. This abstract result is applied to a number of models for wave propagation in disordered media.

Copyright information

© Birkhäuser Verlag, Basel 2001

Authors and Affiliations

  • D. Damanik
    • 1
  • P. Stollmann
    • 2
  1. 1.Department of Mathematics, University of California, Irvine, CA 92697—3875, USA, e-mail: damanik@math.uci.eduUS
  2. 2.Fakultät für Mathematik, TU Chemnitz, 09126 Chemnitz, Germany, e-mail: p.stollman@mathematik.tu-chemnitz.deDE