Article
J. Approx. Theory (to appear)
[DOI: 10.1016/j.jat.2009.02.001]
Almost Periodic Szegő cocycles with uniformly positive Lyapunov exponent
David Damanik and Helge Krüger
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. As an immediate consequence of this result, we obtain
examples of almost periodic Verblunsky coefficients for which the
associated probability measure on the unit circle is pure point.
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