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Sierpiński carpet Julia sets of transcendental entire functions

Su, Weiwei et al.
arXiv (All) · Papers
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dynamical-systems
We prove that Sierpiński carpet parameters are dense in the bifurcation loci of some natural families of finite type transcendental entire functions having exactly one active critical orbit. Moreover, some specific transcendental entire functions with Sierpiński carpet Julia sets are constructed suc
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