Random conformal snowflakes

DOI10.4007/annals.2010.172.597zbMath1204.30015arXivmath/0701463OpenAlexW2020603828MaRDI QIDQ990184

Stanislav Smirnov, Dmitri B. Beliaev

Publication date: 6 September 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701463

zbMATH Keywords

harmonic measuremultifractal analysiscoefficient problemfractal measurerandom fractalspectrum of a measure

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (5)

Some extremal problems for trinomials with fold symmetry ⋮ On random fractals with infinite branching: definition, measurability, dimensions ⋮ Estimates of a spectrum of the integral means for lacunary series ⋮ Symmetrization of Suffridge polynomials and approximation of \(T\)-symmetric Koebe functions ⋮ On the exceptional set in a conditional theorem of Littlewood

Cites Work

• A proof of the Bieberbach conjecture
• On coefficient problems for univalent functions and conformal dimension
• Weighted Bergman spaces and the integral means spectrum of conformal mappings
• Integral means spectrum of random conformal snowflakes
• Fractal measures and their singularities: The characterization of strange sets
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• On the Coefficients of Univalent Functions
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