Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane

DOI10.1016/j.amc.2006.08.149zbMath1133.30006OpenAlexW2005759562MaRDI QIDQ884155

Hiroki Sumi

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

zbMATH Keywords

random dynamical systemspolynomial semigroupscomplex dynamical systems

Mathematics Subject Classification ID

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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