Invariant measures for meromorphic Misiurewicz maps

DOI10.1017/S0305004108001412zbMath1177.30034OpenAlexW2133193228WikidataQ115181050 ScholiaQ115181050MaRDI QIDQ3542112

Janina Kotus, Grzegorz Świątek

Publication date: 28 November 2008

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

Full work available at URL: https://doi.org/10.1017/s0305004108001412

zbMATH Keywords

Julia setmeromorphic functionNevanlinna characteristic

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (3)

No finite invariant density for Misiurewicz exponential maps ⋮ Nice sets and invariant densities in complex dynamics ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Cites Work

• No finite invariant density for Misiurewicz exponential maps
• Absolutely continuous measures for certain maps of an interval
• Iterates of meromorphic functions. IV: Critically finite functions
• Existence of invariant measures for transcendental subexpanding functions
• On the singularities of the inverse to a meromorphic function of finite order
• On the dynamics of entire functions on the Julia set
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions

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