Resumen de Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure

David Damanik, Paul Munger, William N. Yessen

• We study probability measures on the unit circle corresponding to orthogonal polynomials whose sequence of Verblunsky coefficients is invariant under the Fibonacci substitution. We focus in particular on the fractal properties of the essential support of these measures.