Infinitely many grand orbits.

DOI10.1307/mmj/1049832892zbMath1195.37028OpenAlexW1970702902MaRDI QIDQ1396342

Mark Comerford

Publication date: 30 June 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1049832892

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)

Related Items (2)

Generalized iteration ⋮ Orbit portraits in non-autonomous iteration

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Complex dynamics
• Rational iteration: complex analytic dynamical systems
• Random iterations of polynomials of the form $z^2+c_n$: connectedness of Julia sets
• Random iterations of rational functions
• Self-similarity of Julia sets of the composition of polynomials
• Connectedness and Stability of Julia Sets of the Composition of Polynomials of the Form z ² +c _n
• Geometric properties of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\).

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