@Article{CiCP-15-712,
author = {Eric Bourgain-Chang},
title = {Spectral Aspects of the Skew-Shift Operator: A Numerical Perspective},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {3},
pages = {712--732},
abstract = {<p style="text-align: justify;">In this paper we perform a numerical study of the spectra, eigenstates, and
Lyapunov exponents of the skew-shift counterpart to Harper&#39;s equation. This study
is motivated by various conjectures on the spectral theory of these &#39;pseudo-random&#39; models, which are reviewed in detail in the initial sections of the paper. The numerics
carried out at different scales are within agreement with the conjectures and show a
striking difference compared with the spectral features of the Almost Mathieu model.
In particular our numerics establish a small upper bound on the gaps in the spectrum
(conjectured to be absent).</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.120513.290813a},
url = {http://global-sci.org/intro/article_detail/cicp/7112.html}
}