On the iteration of rational functions

DOI10.1017/S0305004100055304zbMath0399.30017MaRDI QIDQ4183546

Vitalij Garber

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Hausdorff DimensionIteration of Rational Functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (7)

The ergodic theory of shrinking targets ⋮ Meromorphic self-maps of regions ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ Unnamed Item ⋮ Fatou–Julia theory for non-uniformly quasiregular maps ⋮ On the preperiodic points of an endomorphism of ℙ¹×ℙ¹ which lie on a curve ⋮ On the Hausdorff dimension of Julia sets of meromorphic functions. II

Cites Work

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• Invariant sets under iteration of rational functions
• Repulsive fixpoints of entire functions
• Some connections between ergodic theory and the iteration of polynomials
• The domains of normality of an entire function
• The Hausdorff Dimension of Singular Sets of Properly Discontinuous Groups
• A New Characterization of the F Set of a Rational Function

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