Conformal measures for non-entire functions with critical values eventually mapped onto infinity

DOI10.1524/anly.2005.25.4.333zbMath1109.37039OpenAlexW2059232467WikidataQ115181061 ScholiaQ115181061MaRDI QIDQ3431500

Janina Kotus

Publication date: 10 April 2007

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2005.25.4.333

zbMATH Keywords

Julia setHausdorff dimensiontopological pressuremeromorphic functionsconformal measuresHausdorff and packing measures

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

• Conformal, geometric and invariant measures for transcendental expanding functions
• Geometry and ergodic theory on non-recurrent elliptic functions
• On Sullivan's conformal measures for rational maps of the Riemann sphere
• On the Existence of Conformal Measures
• Iteration of meromorphic functions
• Dimensions and Measures in Infinite Iterated Function Systems
• Ergodic theory of equilibrium states for rational maps

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