The area of the Mandelbrot set and Zagier's conjecture

zbMath1427.11071arXiv1709.00607MaRDI QIDQ5384268

No author found.

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1709.00607

zbMATH Keywords

Mandelbrot setcomplex numbersZagier's conjecture2-adic valuationarea of the Mandelbrot setbinary (2-adic) representation of numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Cites Work

• Unnamed Item
• Quadratic Julia sets with positive area
• New approximations for the area of the Mandelbrot set
• Theory of iterations of polynomial families in the complex plane
• A remark on Zagier's observation of the Mandelbrot set
• The uniformization of the complement of the Mandelbrot set
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• The area of the Mandelbrot set
• Computing the Laurent series of map \(\Psi:C-\overline D\to C-M\)
• On the coefficients of the mapping to the exterior of the Mandelbrot set
• FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS

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