Bowen’s formula for meromorphic functions

DOI10.1017/S0143385711000290zbMath1333.37017arXiv1007.3855MaRDI QIDQ3166348

Krzysztof Barański, Bogusława Karpińska, Anna Zdunik

Publication date: 11 October 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3855

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) 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)

Related Items (10)

A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract ⋮ Mini-workshop: Thermodynamic formalism, geometry and stochastics. Abstracts from the mini-workshop held January 1--7, 2012. ⋮ Characteristic Exponents of Rational Functions ⋮ Shrinking targets for non-autonomous systems ⋮ Conformal measures for meromorphic maps ⋮ Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions ⋮ The failure of Ruelle's property for entire functions ⋮ Dimension rigidity in conformal structures ⋮ Random non-hyperbolic exponential maps ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Cites Work

• Unnamed Item
• Dynamical properties of some classes of entire functions
• Hausdorff dimension of quasi-circles
• The finer geometry and dynamics of the hyperbolic exponential family
• Conformal, geometric and invariant measures for transcendental expanding functions
• Geometry and ergodic theory of non-hyperbolic exponential maps
• Dynamics of meromorphic functions with direct or logarithmic singularities
• Hyperbolic dimension and radial Julia sets of transcendental functions
• Conical limit set and Poincaré exponent for iterations of rational functions
• Iteration of meromorphic functions
• The Hausdorff Dimension of Julia Sets of Meromorphic Functions
• Real analyticity of Hausdorff dimension of finer Julia sets of exponential family
• The Hausdorff dimension of Julia sets of hyperbolic meromorphic functions
• Equality of pressures for rational functions

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