Anderson localization for time periodic random Schrödinger operators

Avy Soffer, Wei Min Wang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We prove that at large disorder, Anderson localization in Zd is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.

Original languageEnglish (US)
Pages (from-to)333-347
Number of pages15
JournalCommunications in Partial Differential Equations
Volume28
Issue number1-2
DOIs
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Keywords

  • Anderson localization
  • Floquet operator
  • Quasi-energy operator

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