arXiv subjects

Vanderlea R. Bazao

Publications and source records attributed to Vanderlea R. Bazao.

2 recordsLinked to original sources

arXiv2020

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

It is shown that there exits a lower bound $α>0$ to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schrödinger operator, and, generically in the hull of such sequence, $α$ is also a lower bound to the upper packing dimension of spectral measures.

math-ph↗

arXiv2016

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

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 preserved under suitable polynomial decaying perturbations, when the spectrum of these perturbed operators have some singular continuous component.

math-ph↗