scientific article; zbMATH DE number 1295209
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Publication:4248086
zbMath0927.37025MaRDI QIDQ4248086
Publication date: 8 July 1999
Full work available at URL: https://eudml.org/doc/212334
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fixed pointsbasin of attractionJulia setHausdorff dimensionattractorrepellorpositive Lebesgue measureaccessible points
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dimension theory of smooth dynamical systems (37C45)
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Julia sets of Zorich maps ⋮ A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ On the dimension of points which escape to infinity at given rate under exponential iteration ⋮ The topological dimension of radial Julia sets ⋮ Iteration of quasiregular mappings ⋮ Explosion points and topology of Julia sets of Zorich maps ⋮ Hausdorff measure of hairs without endpoints in the exponential family ⋮ The finer geometry and dynamics of the hyperbolic exponential family ⋮ Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook ⋮ Area of Fatou sets of trigonometric functions ⋮ Non-escaping points of Zorich maps ⋮ Fatou’s web ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions ⋮ The Hausdorff dimension of directional edge escaping points set
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