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We prove that for any finite collection of quadratic Julia sets, a polynomial and a transcendental entire function exist whose Julia sets include copies of the given quadratic Julia sets.… Click to show full abstract
We prove that for any finite collection of quadratic Julia sets, a polynomial and a transcendental entire function exist whose Julia sets include copies of the given quadratic Julia sets. In order to prove the result, we construct quasiregular maps with required dynamics and employ the quasiconformal surgery to obtain the desired functions.
Keywords:
sets include;
functions whose;
quadratic julia;
whose julia;
julia sets;
entire functions
Journal Title: Nonlinearity
Year Published: 2017
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Journal Title: Nonlinearity
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!