On the Hyperbolic Hausdorff Dimension of the Boundary of a Basin of Attraction for a Holomorphic Map and of Quasirepellers

DOI10.4064/ba54-1-4zbMath1130.37375OpenAlexW2005634687MaRDI QIDQ3414701

Feliks Przytycki

Publication date: 10 January 2007

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

Full work available at URL: https://doi.org/10.4064/ba54-1-4

zbMATH Keywords

Hausdorff dimensioncentral limit theoremhyperbolic dimensioncoding treeboundary of basin of attractionGibbs mesureiteration of holomorphic function

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) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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