Uniform Szego cocycles over strictly ergodic subshifts
نویسندگان
چکیده
We consider ergodic families of Verblunsky coefficients generated by minimal aperiodic subshifts. Simon conjectured that the associated probability measures on the unit circle have essential support of zero Lebesgue measure. We prove this for a large class of subshifts, namely those satisfying Boshernitzan’s condition. This is accomplished by relating the essential support to uniform convergence properties of the corresponding Szegő cocycles.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 144 شماره
صفحات -
تاریخ انتشار 2007