HAUSDORFF DIMENSION OF JULIA SETS OF QUADRATIC POLYNOMIALS

DOI10.1142/S0218348X18500202zbMath1433.37051OpenAlexW2794327223WikidataQ123287216 ScholiaQ123287216MaRDI QIDQ4959946

Gamaliel Blé, Luis Manuel Martínez

Publication date: 7 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x18500202

zbMATH Keywords

Julia setsHausdorff dimensiontransition matrixMarkov partitionhyperbolic polynomial

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fractals (28A80)

Cites Work

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• Complex dynamics
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Local connectivity of the Julia set for geometrically finite rational maps
• Numerical Methods for Large Eigenvalue Problems
• ALGORITHM FOR EXTERNAL ARGUMENTS CALCULATION OF THE NODES OF A SHRUB IN THE MANDELBROT SET
• A Computer Algorithm for Determining the Hausdorff Dimension of Certain Fractals
• On the Existence of Conformal Measures
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• Complex Dynamics and Renormalization (AM-135)

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