Non-linearizability of polynomials at irrationally indifferent fixed points

DOI10.2996/kmj/1138043988zbMath0946.37016OpenAlexW2017859331MaRDI QIDQ1300296

Yûsuke Okuyama

Publication date: 7 September 1999

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043988

zbMATH Keywords

maximal dimensioncubic polynomialnonlinearizabilitynon-Brjuno multplierpolynomials with irrationally indifferent fixed points

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Riemann's mapping theorem for variable metrics
• Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
• Fixed points and circle maps
• On the dynamics of polynomial-like mappings
• Unnamed Item
• Unnamed Item