Topological Pressure for One-Dimensional Holomorphic Dynamical Systems

DOI10.4064/ba55-1-6zbMath1115.37047arXiv0705.4572OpenAlexW2963978503MaRDI QIDQ3441414

Christian Wolf, Katrin Gelfert

Publication date: 30 May 2007

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4572

zbMATH Keywords

invariant measuresrational mapstopological pressureholomorphic dynamicsrepelling periodic points

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Entropy and other invariants (28D20) 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) Topological entropy (37B40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Nice inducing schemes and the thermodynamics of rational maps

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