Lower bounds for fractal dimensions of spectral measures of the period doubling Schrödinger operator

Vanderlea R. Bazao, Tulio O. Carvalho, Cesar R. de Oliveira

It is shown that there exits a lower bound $\alpha >0$ to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schrödinger operator, and,…