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We consider CMV matrices with dynamically defined Verblunsky coefficients.These coefficients are obtained by continuous sampling along the orbits of anergodic transformation. We investigate whether certain spectral phenomena aregeneric in the sense that for a fixed base transformation, the set ofcontinuous sampling functions for which the spectral phenomenon occurs isresidual. Among the phenomena we discuss are the absence of absolutelycontinuous spectrum and the vanishing of the Lebesgue measure of the spectrum.

Generic Spectral Results for CMV Matrices with Dynamically Defined Verblunsky Coefficients