01-189 Qing-Hui LIU, Bo TAN, Zhi-Xiong WEN, Jun WU
Measure Zero Spectrum of a class of Schr\"odinger operators (261K, Postscript, 259k) May 21, 01
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 01-189.src( 01-189.comments , 01-189.keywords , sp_prim.ps )