Almost sure purely singular continuous spectrum for quasicrystal models
Mathematical Physics
2016-08-09 v1 math.MP
Spectral Theory
Abstract
We review recent developments in the spectral theory of continuum one-dimensional quasicystals, yielding purely singular continuous spectrum for these Schr\"odinger operators. Allowing measures as potentials we can generalize some results to very singular potentials, including Kronig-Penney type models.
Keywords
Cite
@article{arxiv.1608.02469,
title = {Almost sure purely singular continuous spectrum for quasicrystal models},
author = {Christian Seifert},
journal= {arXiv preprint arXiv:1608.02469},
year = {2016}
}