Dynamical rigidity of transcendental meromorphic functions

DOI10.1088/0951-7715/25/8/2337zbMath1277.37077OpenAlexW2005893017MaRDI QIDQ2905064

Mariusz Urbański, Bartłomiej Skorulski

Publication date: 24 August 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/8/2337

zbMATH Keywords

iterationconjugacyJulia setiterated function systembi-Lipschitzdynamical rigiditynice setstame meromorphic function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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