On the spectral Hausdorff dimension of 1D discrete Schrödinger operators under power decaying perturbations

Vanderlea R. Bazao, Silas L. Carvalho, César R. de Oliveira

We show that spectral Hausdorff dimensional properties of discrete Schröodinger operators with (1) Sturmian potentials of bounded density and (2) a class of sparse potentials are p…