4 papers
On the Birman-Krein Theorem
Vanderléa R. Bazao, César R. de Oliveira, Pablo A. Diaz
It is shown that if is a unitary operator so that a singular subspace of~ is unitarily equivalent to a singular subspace of~ (or ), for each unitary operator~, th…
Spectral Hausdorff dimensions for a class of Schrödinger operators in bounded intervals
Vanderléa R. Bazao, Túlio O. Carvalho, César R. de Oliveira
Exact Hausdorff dimensions are computed for singular continuous components of the spectral measures of a class of Schrödinger operators in bounded intervals.
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 to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schrödinger operator, and,…
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…