Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach
Mathematical Physics
2023-06-14 v3 Analysis of PDEs
Dynamical Systems
math.MP
Spectral Theory
Abstract
In this paper we develop a Nash-Moser iteration type reducibility approach to prove the (inverse) localization for some -dimensional discrete almost-periodic operators with power-law long-range hopping. We also provide a quantitative lower bound on the regularity of the hopping. As an application, some results of \cite{Sar82, Pos83, Cra83, BLS83} are generalized to the power-law hopping case.
Keywords
Cite
@article{arxiv.2201.07405,
title = {Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach},
author = {Yunfeng Shi},
journal= {arXiv preprint arXiv:2201.07405},
year = {2023}
}
Comments
to appear in CMP