Orthogonality and the Hausdorff Dimension of the Maximal Measure

DOI10.2307/2045766zbMath0603.42020OpenAlexW4249379692MaRDI QIDQ3739633

Artur Oscar Lopes

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045766

zbMATH Keywords

Hausdorff dimensioniterated polynomialsmaximal measure

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Cites Work

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• Orthogonality properties of iterated polynomial mappings
• The dimension of the maximal measure for a polynomial map
• Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
• Invariant sets under iteration of rational functions
• An invariant measure for rational maps
• Equilibrium measures for rational maps
• Repellers for real analytic maps
• Orthogonal polynomials associated with invariant measures on Julia sets
• Moments of Balanced Measures on Julia Sets