Uniform localization is always uniform

Abstract

In this note we show that if a family of ergodic Schrödinger operators on $l^2({\mathbb{Z}}^{\gamma })$ with continuous potentials have uniformly localized eigenfunctions then these eigenfunctions must be uniformly localized in a homogeneous sense.

References in corpus (1)

• All couplings localization for quasiperiodic operators with Lipschitz monotone potentials