Exponential Dynamical Localization: Criterion and Applications

Lingrui Ge, Jiangong You, Qi Zhou

2023Annales Scientifiques de l École Normale Supérieure18 citationsDOI

Abstract

We give a criterion for exponential dynamical localization in expectation (EDL) for ergodic families of operators acting on 2 pZ d q.As applications, we prove EDL for a class of quasi-periodic long-range operators on 2 pZ d q.

Topics & Concepts

Exponential functionMathematicsApplied mathematicsMathematical analysisSpectral Theory in Mathematical PhysicsMathematical Analysis and Transform MethodsQuantum chaos and dynamical systems