Area of Fatou sets of trigonometric functions

DOI10.1090/S0002-9939-07-09015-6zbMath1136.37027OpenAlexW2046151982MaRDI QIDQ5441167

Hendrik Schubert

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09015-6

zbMATH Keywords

areaJulia setHausdorff dimensionmeasureFatou set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

Non-recurrence of \(\exp(z)/z\) ⋮ Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure ⋮ Hausdorff dimension of a dynamically defined set of exp(z)/z ⋮ Fixed points, symmetries, and bounds for basins of attraction of complex trigonometric functions

Cites Work

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• Dynamical properties of some classes of entire functions
• The dynamical fine structure of iterated cosine maps and a dimension paradox
• Rational iteration: complex analytic dynamical systems
• Über die Iteration der ganzen transzendenten Funktionen, insbesondere von \(\sin z\) und \(\cos z\)
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• Iteration of meromorphic functions
• Connectedness properties of julia sets of transcendental entire functions
• A STUDY OF THE DYNAMICS OF λsinz
• On the accessible points in the Julia sets of some entire functions

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