Dynamical dessins are dense
Christopher J. Bishop
Stony Brook University, USAKevin M. Pilgrim
Indiana University, Bloomington, USA
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