scientific article

zbMath0603.30030MaRDI QIDQ3739420

Adrien Douady

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Julia setMandelbrot setMisiurewicz pointsFeigenbaum pointexternal argument

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (16)

Fixed points of polynomial maps. Part II. Fixed point portraits ⋮ Core entropy of polynomials with a critical point of maximal order ⋮ The fractal geometry of Hartree-Fock ⋮ Internal addresses of the Mandelbrot set and Galois groups of polynomials ⋮ A generalization of Douady's formula ⋮ No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials ⋮ A method to solve the limitations in drawing external rays of the Mandelbrot set ⋮ Disconnected Julia set and rotation sets ⋮ Operating with external arguments of Douady and Hubbard ⋮ Topological entropy of quadratic polynomials and dimension of sections of the Mandelbrot set ⋮ Coupling patterns of external arguments in the multiple-spiral medallions of the Mandelbrot set ⋮ HAUSDORFF DIMENSION OF JULIA SETS OF QUADRATIC POLYNOMIALS ⋮ A general view of pseudoharmonics and pseudoantiharmonics to calculate external arguments of Douady and Hubbard ⋮ Infinitely renormalizable quadratic polynomials, with non-locally connected Julia set ⋮ Mating Siegel quadratic polynomials ⋮ Continuity of core entropy of quadratic polynomials

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