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The uniformization of the complement of the Mandelbrot set

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Publication:1073954
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DOI10.1215/S0012-7094-85-05250-0zbMath0589.30023OpenAlexW1982493872MaRDI QIDQ1073954

Irwin L. Jungreis

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05250-0


zbMATH Keywords

Julia setuniformisationMandelbrot setrational map


Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Topological spaces of dimension (leq 1); curves, dendrites (54F50)


Related Items (7)

A remark on Zagier's observation of the Mandelbrot set ⋮ Coefficients of the Riemann map for the Mandelbrot set complement ⋮ Taylor Coefficients of the Conformal Map for the Exterior of the Reciprocal of the Multibrot Set ⋮ The area of the Mandelbrot set ⋮ Coefficients associated with the reciprocal of the Mandelbrot set ⋮ The area of the Mandelbrot set and Zagier's conjecture ⋮ FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS




Cites Work

  • Complex analytic dynamics on the Riemann sphere
  • Unnamed Item




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