Almost periodic Jacobi matrices associated with Julia sets for polynomials

DOI10.1007/BF01240350zbMath0574.58016OpenAlexW2059508290WikidataQ120985050 ScholiaQ120985050MaRDI QIDQ1063919

Michael F. Barnsley, Andrew N. Harrington, Jeffrey S. Geronimo

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01240350

zbMATH Keywords

orthogonal polynomialsJulia setinvariant measureChebyshev polynomialJacobi matrix

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Topological dynamics (37B99) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items

Spectral decimation of a self-similar version of almost Mathieu-type operators, Renormalization of random Jacobi operators, Function weighted measures and orthogonal polynomials on Julia sets, Some Asymptotics for Extremal Polynomials, Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures, Orthogonal polynomials of equilibrium measures supported on Cantor sets, Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\), Orthogonal Polynomials with Respect to Self-Similar Measures, Cantor polynomials and some related classes of OPRL, Singularly continuous spectrum of a self-similar Laplacian on the half-line, Orthogonal polynomials for the weakly equilibrium Cantor sets, Spectral properties of one dimensional quasi-crystals, Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping, Orthogonal polynomials for Minkowski's question mark function

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