On the connectivity of the Julia set of a finitely generated rational semigroup

DOI10.1090/S0002-9939-01-06097-XzbMath0988.37058WikidataQ122926500 ScholiaQ122926500MaRDI QIDQ2750885

Chung-Chun Yang, Yeshun Sun

Publication date: 21 October 2001

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

zbMATH Keywords

Julia setconnectivityFatou setrational semigroup

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (7)

Curriculum Vitae of Chung-Chun Yang ⋮ Structure of Julia sets of polynomial semigroups with bounded finite postcritical set ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Semigroups whose Julia sets are Cantor targets ⋮ Complex dynamics of Möbius semigroups ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

Cites Work

• The Julia sets of the random iteration of rational functions
• On dynamics of hyperbolic rational semigroups
• The Dynamics of Semigroups of Rational Functions I
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