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

DOI10.1016/j.jat.2013.04.001zbMath1283.33005arXiv1208.0652OpenAlexW2060385564MaRDI QIDQ390536

David Damanik, William N. Yessen, Paul E. Munger

Publication date: 8 January 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0652

zbMATH Keywords

fractal dimensionprobability measureVerblunsky coefficients

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35)

Related Items (14)

Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ Quantum and spectral properties of the Labyrinth model ⋮ The Hölder continuity of spectral measures of an extended CMV matrix ⋮ Spectral properties of continuum Fibonacci Schrödinger operators ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ On the spectrum of 1D quantum Ising quasicrystal ⋮ Continuum Schrödinger operators associated with aperiodic subshifts ⋮ A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications ⋮ Schrödinger operators generated by locally constant functions on the Fibonacci subshift ⋮ Purely singular continuous spectrum for CMV operators generated by subshifts ⋮ The Fibonacci Hamiltonian ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas ⋮ Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian

Cites Work

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