Exponential Dynamical Localization: Criterion and Applications
Lingrui Ge, Jiangong You, Qi Zhou
TL;DR
This paper establishes a criterion for exponential dynamical localization in expectation for ergodic operators and applies it to prove EDL for certain quasi-periodic long-range operators on ^2(\u211d^d).
Contribution
It introduces a new criterion for exponential dynamical localization and demonstrates its effectiveness on a class of quasi-periodic long-range operators.
Findings
Proves EDL for a class of quasi-periodic long-range operators.
Provides a criterion for exponential dynamical localization in expectation.
Extends understanding of localization phenomena in ergodic operator families.
Abstract
We give a criterion for exponential dynamical localization in expectation (EDL) for ergodic families of operators acting on . As applications, we prove EDL for a class of quasi-periodic long-range operators on .
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Mathematical Analysis and Transform Methods