Absolutely Continuous Spectrum for CMV Matrices With Small Quasi-Periodic Verblunsky Coefficients

2021/02/01 by Long Li, David Damanik, Li, Long +3
Computer Science · Mathematics · #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2102.00586

Abstract

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 absolutely continuous. This answers a question of Barry Simon from 2005.

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