Open AccessDynamical dessins are dense
Author(s) -
Christopher J. Bishop,
Kevin M. Pilgrim
Publication year - 2015
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/862
Subject(s) - julia set , hausdorff space , mathematics , plane (geometry) , set (abstract data type) , polynomial , pure mathematics , topology (electrical circuits) , finite set , dynamical systems theory , geometry , mathematical analysis , computer science , physics , combinatorics , programming language , quantum mechanics
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.
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