Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval.
Keywords
Cite
@article{arxiv.0705.2512,
title = {Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations},
author = {M. Cobo and C. Gutierrez and C. R. de Oliveira},
journal= {arXiv preprint arXiv:0705.2512},
year = {2007}
}