Non-ergodic maps in the tangent family

DOI10.1016/S0019-3577(03)90074-7zbMath1053.30016OpenAlexW2072521423MaRDI QIDQ1433186

Bartłomiej Skorulski

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(03)90074-7

zbMATH Keywords

iterationJulia setomega limit setergodicrecurrent

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook ⋮ Lyapunov exponents for non-ergodic meromorphic functions

Cites Work

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• Measurable dynamics of the exponential map
• Existence of invariant measures for transcendental subexpanding functions
• On the dynamics of entire functions on the Julia set
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• Iteration of meromorphic functions
• Dynamics of the family 𝜆tan𝑧
• Diffusion to infinity for periodic orbits in meromorphic dynamics

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