Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane
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Publication:884155
DOI10.1016/j.amc.2006.08.149zbMath1133.30006OpenAlexW2005759562MaRDI QIDQ884155
Publication date: 13 June 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.149
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Random dynamical systems (37H99)
Related Items (10)
Interaction cohomology of forward or backward self-similar systems ⋮ Structure of Julia sets of polynomial semigroups with bounded finite postcritical set ⋮ Transversality family of expanding 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 ⋮ Some results for conjugate equations ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ The equilibrium states for semigroups of rational maps ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups
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