Bowen parameter and Hausdorff dimension for expanding rational semigroups

DOI10.3934/dcds.2012.32.2591zbMath1291.37080arXiv0911.3727OpenAlexW2962782332MaRDI QIDQ432607

Mariusz Urbański, Hiroki Sumi

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3727

zbMATH Keywords

Julia setHausdorff dimensionrandom complex dynamicsrational semigroupscomplex dynamical systemsBowen parameterexpanding semigroups

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

Transversality family of expanding rational semigroups ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics

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