3 papers
math-ph2013
Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators
Paul Munger
We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form $V(n) = λ(\lfloor(n+1)β\rfloor - \lfloor nβ…
math-ph2013
Orthogonal Polynomials on the Unit Circle with Fibonacci Verblunsky Coefficients, II. Applications
David Damanik, Paul Munger, William N. Yessen
We consider CMV matrices with Verblunsky coefficients determined in an appropriate way by the Fibonacci sequence and present two applications of the spectral theory of such matrice…
math.SP2013
The Hölder continuity of spectral measures of an extended CMV matrix
Paul Munger, Darren C. Ong
We prove results about the Hölder continuity of the spectral measures of the extended CMV matrix, given power law bounds of the solution of the eigenvalue equation. We thus arrive…