Completely invariant sets of normality for rational semigroups

DOI10.1080/17476930008815219zbMath1021.37022arXivmath/9810099OpenAlexW1995180743MaRDI QIDQ4487937

Rich Stankewitz

Publication date: 25 June 2000

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810099

zbMATH Keywords

Julia setsrational semigroupscompletely invariant sets

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (9)

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 ⋮ 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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