Geometric & Functional Analysis GAFA

, Volume 11, Issue 1, pp 11-29

First online:

Multi-scale analysis implies strong dynamical localization

  • D. DamanikAffiliated withDepartment of Mathematics, University of California, Irvine, CA 92697—3875, USA, e-mail: damanik@math.uci.edu
  • , P. StollmannAffiliated withFakultät für Mathematik, TU Chemnitz, 09126 Chemnitz, Germany, e-mail: p.stollman@mathematik.tu-chemnitz.de

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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.