The Hausdorff dimension of spectrum of a class of gerneralized Thue-Morse Hamiltonians

Qinghui Liu, Zhiyi Tang

We study a class of Schrödinger operators $H_{m,\lambda }$ with generalized Thue-Morse potential that generated by the substitution $\tau (a)=a^m{b}^m$, $\tau (b)=b^m{a}^m$ on two symbol alphabet $Σ=…