English

Exponential Dynamical Localization: Criterion and Applications

Dynamical Systems 2019-06-17 v2 Mathematical Physics math.MP Spectral Theory

Abstract

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

Cite

@article{arxiv.1901.04258,
  title  = {Exponential Dynamical Localization: Criterion and Applications},
  author = {Lingrui Ge and Jiangong You and Qi Zhou},
  journal= {arXiv preprint arXiv:1901.04258},
  year   = {2019}
}
R2 v1 2026-06-23T07:10:51.549Z