93 citations · 292 across the 31 of their papers we have counts for
7 papers · 1 filter
Exact mobility edges for almost-periodic CMV matrices via gauge symmetries
Christopher Cedzich, Jake Fillman, Long Li +2
We investigate the symmetries of so-called generalized extended CMV matrices. It is well-documented that problems involving reflection symmetries of standard extended CMV matrices…
Non-Self-Adjoint Quasi-periodic Operators with complex spectrum
Zhenfu Wang, Jiangong You, Qi Zhou
We give a precise and complete description on the spectrum for a class of non-self-adjoint quasi-periodic operators acting on which contains the Sarnak's mod…
Absolute continuity of the integrated density of states in the localized regime
Jing Wang, Xu Xu, Jiangong You +1
We establish the absolute continuity of the integrated density of states (IDS) for quasi-periodic Schrödinger operators with a large trigonometric potential and Diophantine frequen…
Stability of Spectral Types of Quasi-Periodic Schrödinger Operators With Respect to Perturbations by Decaying Potentials
David Damanik, Xianzhe Li, Jiangong You +1
We consider perturbations of quasi-periodic Schrödinger operators on the integer lattice with analytic sampling functions by decaying potentials and seek decay conditions under whi…
Cantor Spectrum for CMV Matrices With Almost Periodic Verblunsky Coefficients
Long Li, David Damanik, Qi Zhou
We consider extended CMV matrices with analytic quasi-periodic Verblunsky coefficients with Diophantine frequency vector in the perturbatively small coupling constant regime and pr…
Absolutely Continuous Spectrum for CMV Matrices With Small Quasi-Periodic Verblunsky Coefficients
Long Li, David Damanik, Qi Zhou
We consider standard and extended CMV matrices with small quasi-periodic Verblunsky coefficients and show that on their essential spectrum, all spectral measures are purely absolut…
Sharp Phase transitions for the almost Mathieu operator
Artur Avila, Jiangong You, Qi Zhou
It is known that the spectral type of the almost Mathieu operator depends in a fundamental way on both the strength of the coupling constant and the arithmetic properties of the fr…