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On the dynamics of entire functions on the Julia set

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Publication:1923644
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DOI10.1007/BF03322175zbMath0854.30021WikidataQ120877323 ScholiaQ120877323MaRDI QIDQ1923644

Heinrich Bock

Publication date: 10 October 1996

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

Julia setergodicpostcritical setrecurrent


Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Measure-theoretic ergodic theory (28D99) Dynamical systems over complex numbers (37F99)


Related Items

The dynamical fine structure of iterated cosine maps and a dimension paradox ⋮ No finite invariant density for Misiurewicz exponential maps ⋮ Invariant measures for meromorphic Misiurewicz maps ⋮ Non-ergodic maps in the tangent family ⋮ Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure ⋮ Nice sets and invariant densities in complex dynamics



Cites Work

  • Unnamed Item
  • Dynamical properties of some classes of entire functions
  • The exponential map is not recurrent
  • Area and Hausdorff Dimension of Julia Sets of Entire Functions
  • Frontiers in complex dynamics
  • On the typical behaviour of trajectories of the exponent
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