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math.SP2012
Orthogonal polynomials on the unity circle with Fibonacci Verblunsky coefficients, I. The essential support of the measure
David Damanik, Paul Munger, William 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…
math.SP2011★ 21 cited
Spectral analysis of tridiagonal Fibonacci Hamiltonians
W. N. Yessen
We consider a family of discrete Jacobi operators on the one-dimensional integer lattice, with the diagonal and the off-diagonal entries given by two sequences generated by the Fib…