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A classification of bicritical rational maps with a pair of period two superattracting cycles

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Publication:1950980
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DOI10.5802/afst.1357zbMath1343.37035OpenAlexW2123406435MaRDI QIDQ1950980

Tom Sharland, Adam Lawrence Epstein

Publication date: 28 May 2013

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f910ca1f1d557c906638974ae1670ec8635fe3b6


zbMATH Keywords

Julia setperiodic pointtopological matingfilled Julia setMöbius conjugacyray class, unicritical polynomial


Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)


Related Items

Combination Theorems in Groups, Geometry and Dynamics



Cites Work

  • A proof of Thurston's topological characterization of rational functions
  • Non-negative matrices and Markov chains.
  • Thurston equivalence for rational maps with clusters
  • Matings of quadratic polynomials
  • A Family of Cubic Rational Maps and Matings of Cubic Polynomials
  • Pasting Together Julia Sets: A Worked Out Example of Mating
  • Dynamics in One Complex Variable. (AM-160)
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