Some counterexamples in dynamics of rational semigroups

zbMath1065.37032arXiv0708.3434MaRDI QIDQ4675978

Toshiyuki Sugawa, Hiroki Sumi, Rich Stankewitz

Publication date: 6 May 2005

Full work available at URL: https://arxiv.org/abs/0708.3434

zbMATH Keywords

Julia setrational semigrouprational functions with nonequal Julia sets

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)

Related Items (4)

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 ⋮ Random backward iteration algorithm for Julia sets of rational semigroups ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

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