21 citations · 30 across the 3 of their papers we have counts for
3 papers
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-ph2012★ 9 cited
Properties of 1D classical and quantum Ising quasicrystals: rigorous results
W. N. Yessen
In this paper we consider one-dimensional classical and quantum spin-1=2 quasiperiodic Ising chains, with two-valued nearest neighbor interaction modulated by a Fibonacci substitut…
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…