14 citations · 77 across the 20 of their papers we have counts for
4 papers · 1 filter
Purely singular continuous spectrum for CMV operators generated by subshifts
Darren C. Ong
We prove uniform absence of point spectrum for CMV operators corresponding to the period doubling subshift. We also prove almost sure absence of point spectrum for CMV operators co…
Wigner-von Neumann type perturbations of periodic Schrödinger Operators
Milivoje Lukic, Darren C. Ong
We consider decaying oscillatory perturbations of periodic Schrödinger operators on the half line. More precisely, the perturbations we study satisfy a generalized bounded variatio…
Orthogonal Polynomials on the Unit Circle with quasiperiodic Verblunsky Coefficients have generic purely singular continuous spectrum
Darren C. Ong
As an application of the Gordon lemma for orthogonal polynomials on the unit circle, we prove that for a generic set of quasiperiodic Verblunsky coefficients the corresponding two-…
The Hölder continuity of spectral measures of an extended CMV matrix
Paul Munger, Darren C. Ong
We prove results about the Hölder continuity of the spectral measures of the extended CMV matrix, given power law bounds of the solution of the eigenvalue equation. We thus arrive…