Hausdorff Dimension of Escaping Sets of Nevanlinna Functions
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Publication:5068196
DOI10.1093/imrn/rnz152zbMath1486.30079arXiv1901.02583OpenAlexW2969600710WikidataQ127672446 ScholiaQ127672446MaRDI QIDQ5068196
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Publication date: 5 April 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.02583
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 (3)
The exact value of Hausdorff dimension of escaping sets of class \(\mathcal{B}\) meromorphic functions ⋮ Hausdorff dimension of escaping sets of meromorphic functions II ⋮ Hausdorff dimension of escaping sets of meromorphic functions
Cites Work
- Entire functions with Julia sets of positive measure
- Dynamical properties of some classes of entire functions
- Nevanlinna functions with real zeros
- Iterates of meromorphic functions. IV: Critically finite functions
- On the Hausdorff dimension of the escaping set of certain meromorphic functions
- The size of the Julia set of meromorphic functions
- Dynamics of meromorphic functions with direct or logarithmic singularities
- Hausdorff dimension of hairs and ends for entire maps of finite order
- Hausdorff dimensions of escaping sets of transcendental entire functions
- The growth rate of an entire function and the Hausdorff dimension of its Julia set
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- Dynamics of meromorphic maps : maps with polynomial schwarzian derivative
- Iteration of a class of hyperbolic meromorphic functions
- Iteration of meromorphic functions
- Lebesgue measure of escaping sets of entire functions
- Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook
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