A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps

DOI10.1090/S0002-9947-2013-05948-XzbMath1301.37030OpenAlexW2083796343MaRDI QIDQ5402120

Robert L. Devaney

Publication date: 5 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/tran/2014-366-02/S0002-9947-2013-05948-X

zbMATH Keywords

Julia setCantor setMandelbrot setparameter planeSierpiński carpetCantor necklace

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\), On the Hausdorff dimension of the Sierpiński Julia sets, Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions, Singular perturbations of complex polynomials

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