A Multi-scale Analysis Proof of the Power-law Localization for Random Operators on ${\mathbb{Z}}^d$

Abstract

In this paper we give a multi-scale analysis proof of \textit{power-law} localization for random operators on ${\mathbb{Z}}^d$ for \textit{arbitrary} $d\ge 1$.

arXiv commentA revised version. 21 pages

References in corpus (1)

• Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation