Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians

Jie Cao, Yanhui Qu

In this paper, we find a full Lebesgue measure set of frequencies $\check \II\subset [0,1]\setminus \Q$ such that for any $(α,λ)\in \check \II\times [24,\infty)$, the Hausdorff a…