pith. sign in

arxiv: 1101.4892 · v2 · pith:FDIRK3SKnew · submitted 2011-01-25 · 🧮 math-ph · math.MP

Anderson localization for generic deterministic operators

classification 🧮 math-ph math.MP
keywords andersondeterministicensemblesgenericlocalizationoperatorspotentialsanalog
0
0 comments X
read the original abstract

We consider a class of ensembles of lattice Schr\"odinger operators with deterministic random potentials, including quasi-periodic potentials with Diophantine frequencies, depending upon an infinite number of parameters in an auxiliary measurable space. Using a variant of the Multi-Scale Analysis, we prove Anderson localization for generic ensembles in the strong disorder regime and establish an analog of Minami-type bounds for spectral spacings.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.