2 problems

For an irrational $\alpha\in(0,1)$, let $\sigma_{\lambda,\alpha}$ denote the corresponding Sturmian spectrum and let $\dim_H$ denote Hausdorff dimension. Small-coupling continuity…

Let $H_{\lambda,\alpha,\omega}$ be the Sturmian Hamiltonian with coupling $\lambda>0$, irrational frequency $\alpha\in(0,1)$, and phase $\omega\in S^1$, and let…