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math.SP2020★ 1 cited
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…
math.SP2019★ 7 cited
Zero Measure and Singular Continuous Spectra for Quantum Graphs
David Damanik, Licheng Fang, Selim Sukhtaiev
We introduce a dynamically defined class of unbounded, connected, equilateral metric graphs on which the Kirchhoff Laplacian has zero Lebesgue measure spectrum and a nontrivial sin…