A note on fractional moments for the one-dimensional continuum Anderson model

Eman Hamza, Robert Sims, Günter Stolz

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supported density.

Original languageEnglish (US)
Pages (from-to)435-446
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume365
Issue number2
DOIs
StatePublished - May 15 2010

    Fingerprint

Keywords

  • Anderson localization
  • Anderson model
  • Fractional moments method

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this