129 citations · 249 across the 19 of their papers we have counts for
21 papers
Subordinacy Theory for Extended CMV Matrices
Shuzheng Guo, David Damanik, Darren C. Ong
We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure as…
Generic Spectral Results for CMV Matrices with Dynamically Defined Verblunsky Coefficients
Licheng Fang, David Damanik, Shuzheng Guo
We consider CMV matrices with dynamically defined Verblunsky coefficients. These coefficients are obtained by continuous sampling along the orbits of an ergodic transformation. We…
Absence of Absolutely Continuous Spectrum for Generic Quasi-Periodic Schrödinger Operators on the Real Line
David Damanik, Daniel Lenz
We show that a generic quasi-periodic Schrödinger operator in has purely singular spectrum. That is, for any minimal translation flow on a finite-dimensional toru…
Random Sturm-Liouville Operators with Generalized Point Interactions
David Damanik, Rafael del Rio, Asaf L. Franco
In this work we study the point spectra of selfadjoint Sturm-Liouville operators with generalized point interactions, where the two one-sided limits of the solution data are relate…
Anderson Localization for Quasi-Periodic CMV Matrices and Quantum Walks
Fengpeng Wang, David Damanik
We consider CMV matrices, both standard and extended, with analytic quasi-periodic Verblunsky coefficients and prove Anderson localization in the regime of positive Lyapunov expone…
Limit-Periodic Schrödinger Operators With Lipschitz Continuous IDS
David Damanik, Jake Fillman
We show that there exist limit-periodic Schrödinger operators such that the associated integrated density of states is Lipschitz continuous. These operators arise in the inverse sp…