Expanding repellers in limit sets for iterations of holomorphic functions

DOI10.4064/FM186-1-7zbMath1093.37017OpenAlexW2013001176MaRDI QIDQ5694290

Feliks Przytycki

Publication date: 29 September 2005

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

Full work available at URL: https://doi.org/10.4064/fm186-1-7

zbMATH Keywords

Hausdorff dimensionPesin theoryhyperbolic dimensioncoding treeboundary of basin of attractioniteration of rational mapKatok theory

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (1)

Repellers for non-uniformly expanding maps with singular or critical points

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