Revista Matemática Iberoamericana
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Published online: 2015-10-29
Dynamical dessins are denseChristopher J. Bishop and Constantin Dorin Dumitrașcu (1) SUNY at Stony Brook, USA
(2) Adrian College, USA
We apply a recent result of the first author to prove the following result: any continuum in the plane can be approximated arbitrarily closely in the Hausdorff topology by the Julia set of a post critically finite polynomial with two finite postcritical points.
Keywords: Dessin, Julia set
Bishop Christopher, Dumitrașcu Constantin Dorin: Dynamical dessins are dense. Rev. Mat. Iberoam. 31 (2015), 1033-1040. doi: 10.4171/RMI/862