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math.SPAug 13, 2012
20
citations (OpenAlex)
authors
  • Svetlana Jitomirskaya
  • Helge Krueger
institutions
  • California Institute of Technology
  • University of California, Irvine
arXiv abstractPDF
paper

Exponential dynamical localization for the almost Mathieu operator

arXiv:1208.2674 · doi:10.1007/s00220-013-1743-9

Abstract

We prove that the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.

References in corpus (1)

  • Moment Analysis for Localization in Random Schroedinger Operators

Cited by in corpus (8)

  • Schrödinger Operators with Dynamically Defined Potentials: A Survey
  • Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
  • On the Area Law for Disordered Free Fermions
  • Large Block Properties of the Entanglement Entropy of Disordered Fermions
  • Exact dynamical decay rate for the almost Mathieu operator
  • Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
  • On the relation between strong ballistic transport and exponential dynamical localization
  • Localization for random CMV matrices
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