Measures and dimensions of Julia sets of semi-hyperbolic rational semigroups

DOI10.3934/dcds.2011.30.313zbMath1218.37058arXiv0811.1809OpenAlexW2963033939MaRDI QIDQ536135

Hiroki Sumi, Mariusz Urbański

Publication date: 16 May 2011

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

Full work available at URL: https://arxiv.org/abs/0811.1809

zbMATH Keywords

Julia setHausdorff dimensionskew productconformal measurerational semigroupscomplex dynamical systemssemi-hyperbolic 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)

Related Items (8)

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 ⋮ Semi-hyperbolic rational maps and size of Fatou components ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups ⋮ Nondiscrete parabolic characters of the free group F2: supergroup density and Nielsen classes in the complement of the Riley slice ⋮ Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

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