Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook

DOI10.1080/17476933.2017.1325477zbMath1388.37055OpenAlexW2729238220WikidataQ115181042 ScholiaQ115181042MaRDI QIDQ5374208

Piotr Galązka, Janina Kotus

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1325477

zbMATH Keywords

Julia setHausdorff dimensionmeromorphic functionescaping set

Mathematics Subject Classification ID

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

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 Nevanlinna Functions ⋮ Hausdorff dimension of escaping sets of meromorphic functions

Cites Work

• Non-ergodic maps in the tangent family
• On the packing dimension of the Julia set and the escaping set of an entire function
• On the Hausdorff dimension of the escaping set of certain meromorphic functions
• Hausdorff dimension of hairs and ends for entire maps of finite order
• Hausdorff dimensions of escaping sets of transcendental entire functions
• On the Hausdorff dimension of the Julia set of a regularly growing entire function
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• Hausdorff dimension of the hairs without endpoints for λ exp z
• The Hausdorff Dimension of Julia Sets of Meromorphic Functions
• Hausdorff dimension of theM-set of λ exp(z)
• On the Hausdorff dimension of Julia sets of meromorphic functions. I
• On the Hausdorff dimension of Julia sets of meromorphic functions. II
• Metric properties of the Julia set of some meromorphic functions with an asymptotic value eventually mapped onto a pole
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