Qing-Hui LIU, Bo TAN, Zhi-Xiong WEN, Jun WU
Measure Zero Spectrum of a class of Schr\"odinger operators
(261K, Postscript, 259k)
ABSTRACT. We study the measure of the spectrum of a class of one-dimensional discrete
Schr\"odinger operators $H_{v,\omega}$ with quasi-periodic
potential $v(\omega)$
generated by any primitive substitution.
It is known that the spectrum of $H_{v,\omega}$ is
singular continuous (\cite{HKS}).
We will give a more exact result that the spectrum of
$H_{v,\omega}$ is a Cantor set of Lebesgue measure zero.