An invariant measure for finitely generated rational semigroups

DOI10.1080/17476939908815193zbMath1021.37020OpenAlexW1964875925MaRDI QIDQ4487911

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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://doi.org/10.1080/17476939908815193

zbMATH Keywords

invariant measuresJulia setrational semigroup

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 (12)

Backward iteration algorithms for Julia sets of Möbius semigroups ⋮ Semigroup actions of expanding maps ⋮ Distribution of typical orbits for random dynamics generated by finitely many rational maps ⋮ Recurrence in the dynamics of meromorphic correspondences and holomorphic semigroups ⋮ Simultaneous action of finitely many interval maps: some dynamical and statistical properties ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ Random backward iteration algorithm for Julia sets of rational semigroups ⋮ A variational principle for free semigroup actions ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s ⋮ Dynamics of polynomial semigroups: measures, potentials, and external fields ⋮ Entropy inequalities for semigroup actions

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