JournalsrmiVol. 31, No. 3pp. 1033–1040

Dynamical dessins are dense

  • Christopher J. Bishop

    Stony Brook University, USA

  • Kevin M. Pilgrim

    Indiana University, Bloomington, USA
Dynamical dessins are dense cover
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Abstract

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.

Cite this article

Christopher J. Bishop, Kevin M. Pilgrim, Dynamical dessins are dense. Rev. Mat. Iberoam. 31 (2015), no. 3, pp. 1033–1040

DOI 10.4171/RMI/862