Gibbs state for some class of meromorphic functions

DOI10.1016/S0019-3577(06)81035-9zbMath1136.37029OpenAlexW2056668527WikidataQ115181059 ScholiaQ115181059MaRDI QIDQ2385792

Janina Kotus

Publication date: 15 October 2007

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(06)81035-9

zbMATH Keywords

potentialJulia setmeromorphic functionGibbs stateexpanding map

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Conformal, geometric and invariant measures for transcendental expanding functions
• Gibbs and equilibrium measures for elliptic functions
• Dimensions and Measures in Infinite Iterated Function Systems
• Metric properties of the Julia set of some meromorphic functions with an asymptotic value eventually mapped onto a pole

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