%0 Journal Article
%T Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals
%A Siegfried Beckus
%A Felix Pogorzelski
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s11040-013-9131-4
%X We study one-dimensional random Jacobi operators corresponding to strictly ergodic dynamical systems. In this context, we characterize the spectrum of these operators by non-uniformity of the transfer matrices and the set where the Lyapunov exponent vanishes. Adapting this result to subshifts satisfying the so-called Boshernitzan condition, it turns out that the spectrum is supported on a Cantor set with Lebesgue measure zero. This generalizes earlier results for Schr\"odinger operators.
%U http://arxiv.org/abs/1302.5270v1