Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order

DOI10.1017/S0143385707000648zbMath1160.37010arXivmath/0606294MaRDI QIDQ3509960

Volker Mayer, Mariusz Urbański

Publication date: 25 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0606294

zbMATH Keywords

Julia setsthermodynamic formalismHausdorff dimensionhyperbolicitycomplex dynamicsMeromorphic 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) 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)

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Cites Work

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