Completely invariant Julia sets of polynomial semigroups
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Publication:4257610
DOI10.1090/S0002-9939-99-04857-1zbMath0947.30019arXivmath/9810090WikidataQ121228219 ScholiaQ121228219MaRDI QIDQ4257610
Publication date: 31 August 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9810090
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)
Related Items (11)
Backward iteration algorithms for Julia sets of Möbius semigroups ⋮ Structure of Julia sets of polynomial semigroups with bounded finite postcritical set ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Unnamed Item ⋮ Random backward iteration algorithm for Julia sets of rational semigroups ⋮ Real analyticity of Hausdorff dimension for expanding rational semigroups ⋮ Complex dynamics of Möbius semigroups ⋮ Density of repelling fixed points in the Julia set of a rational or entire semigroup ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups ⋮ Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s
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