Fractal measures for meromorphic functions of finite order

DOI10.1080/14689360600893736zbMath1125.28005OpenAlexW1983332778MaRDI QIDQ3446571

Volker Mayer, Mariusz Urbański

Publication date: 19 June 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600893736

zbMATH Keywords

Julia setHausdorff dimensionpacking dimensionmeromorphic functions

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Hausdorff and packing measures (28A78)

Related Items (2)

Hausdorff dimension and conformal measures of Feigenbaum Julia sets ⋮ Fatou components and singularities of meromorphic functions

Cites Work

• The finer geometry and dynamics of the hyperbolic exponential family
• Conformal, geometric and invariant measures for transcendental expanding functions
• Geometry and ergodic theory on non-recurrent elliptic functions
• The dynamics and geometry of the Fatou functions
• Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order
• Real analyticity of Hausdorff dimension of finer Julia sets of exponential family

This page was built for publication: Fractal measures for meromorphic functions of finite order