Two measures on Cantor sets

DOI10.1016/j.jat.2014.07.003zbMath1295.30059arXiv1404.6571OpenAlexW2062515041MaRDI QIDQ401429

Gökalp Alpan, Alexander P. Goncharov

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1404.6571

zbMATH Keywords

Cantor setsHausdorff measuresharmonic measures

Mathematics Subject Classification ID

Fractals (28A80) Capacity and harmonic measure in the complex plane (30C85) Hausdorff and packing measures (28A78) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (6)

Mityagin's extension problem. Progress report ⋮ Logarithmic dimension and bases in Whitney spaces ⋮ Some Asymptotics for Extremal Polynomials ⋮ Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings ⋮ Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures ⋮ Orthogonal polynomials for the weakly equilibrium Cantor sets

Cites Work

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• On conformal mapping and linear measure
• On the dimension of harmonic measure of Cantor repellers
• Harmonic measure on the Julia set for polynomial-like maps
• Weakly equilibrium Cantor-type sets
• On the Distortion of Boundary Sets Under Conformal Mappings
• A closed dimensionless linear set

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