Julia sets for certain rational functions

DOI10.1016/0196-8858(88)90007-3zbMath0638.30027OpenAlexW2091147215WikidataQ121096847 ScholiaQ121096847MaRDI QIDQ1099292

Tom S. Pitcher, John R. Kinney

Publication date: 1988

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(88)90007-3

zbMATH Keywords

Julia setCantor setHausdorff dimension

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ergodic theory (37A99)

Related Items (1)

Julia sets of certain exponential functions

Cites Work

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• Invariant sets under iteration of rational functions
• Some connections between ergodic theory and the iteration of polynomials
• Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials
• Orthogonal polynomials associated with invariant measures on Julia sets
• Moments of Balanced Measures on Julia Sets

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