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Almost Periodic Szegö Cocycles with Uniformly Positive Lyapunov Exponents

David Damanik and Helge Krüger

Abstract

We exhibit examples of almost periodic Verblunsky coefficients for which Herman's subharmonicity argument applies and yields that the associated Lyapunov exponents are uniformly bounded away from zero.

MSC2000: Primary 37D25; Secondary 42C05
Keywords: Lyapunov Exponent, Szego Cocycles, Orthogonal Polynomials

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