Thermodynamic formalism, topological pressure, and escape rates for critically non-recurrent conformal dynamics

DOI10.4064/fm176-2-1zbMath1022.37033OpenAlexW2065065872MaRDI QIDQ4425120

Mariusz Urbański

Publication date: 10 September 2003

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm176-2-1

zbMATH Keywords

Gibbs statestopological pressureescape ratesnon-recurrent rational functionsparabolic rational functionstame generalized polynomial-like mappings

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) 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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