Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps

DOI10.1016/S0019-3577(03)90075-9zbMath1042.37034MaRDI QIDQ1433187

Bernd O. Stratmann, Mariusz Urbański

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

real analyticitygraph directed Markov systempressure functionpolynomial-like maps

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Capacity and harmonic measure in the complex plane (30C85) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (10)

Analytic families of semihyperbolic generalized polynomial-like mappings ⋮ Nice inducing schemes and the thermodynamics of rational maps ⋮ Resonances for graph directed Markov systems ⋮ Low-temperature phase transitions in the quadratic family ⋮ Phase transitions for suspension flows ⋮ Geometric pressure for multimodal maps of the interval ⋮ Large deviation principles for non-uniformly hyperbolic rational maps ⋮ Multifractal analysis of Birkhoff averages for countable Markov maps ⋮ Multifractal analysis of weak Gibbs measures for non-uniformly expanding C¹ maps ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Cites Work

• Fractal measures for parabolic IFS
• On thermodynamics of rational maps. I: Negative spectrum
• Geometry of hyperbolic Julia-Lavaurs sets
• Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
• Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
• Conical limit set and Poincaré exponent for iterations of rational functions
• Parabolic iterated function systems

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