Orthogonal polynomials on the unity circle with Fibonacci Verblunsky   coefficients, I. The essential support of the measure
  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. 
David Damanik, Paul Munger, William Yessen
math.SP