Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential

Abstract

We consider a one-dimensional continuum Anderson model where the potential decays in average like $|x{|}^{-\alpha }$, $\alpha >0$. We show dynamical localization for $0<\alpha <\frac{1}{2}$ and provide control on the decay of the eigenfunctions.

References in corpus (5)

• Moment Analysis for Localization in Random Schroedinger Operators
• Large deviations of the Lyapunov exponent and localization for the 1D Anderson model
• Persistence of Anderson localization in Schrödinger operators with decaying random potentials
• A note on fractional moments for the one-dimensional continuum Anderson model
• One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics

Cited by in corpus (1)

• One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics