Local connectivity of some Julia sets containing a circle with an irrational rotation

DOI10.1007/BF02392621zbMath0884.30020WikidataQ99763909 ScholiaQ99763909MaRDI QIDQ1373009

Carsten Lunde Petersen

Publication date: 5 November 1997

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Julia setlocal connectivitycircle mapsquasisymmetric function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems and ergodic theory (37-XX)

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Cites Work

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• Rational rotation numbers for maps of the circle
• Complex dynamics
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Iteration of analytic functions
• Symbolic dynamics for angle-doubling on the circle III. Sturmian sequences and the quadratic map

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