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

• Autores: David Damanik, Paul Munger, William N. Yessen
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 173, Nº 1, 2013, págs. 56-88
• Idioma: inglés
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• Resumen

  • 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.