Annular itineraries for entire functions
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Publication:5496588
DOI10.1090/S0002-9947-2014-06354-XzbMath1366.37108arXiv1301.1328MaRDI QIDQ5496588
Philip J. Rippon, G. M. Stallard
Publication date: 2 February 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.1328
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 (7)
On the dimension of points which escape to infinity at given rate under exponential iteration ⋮ Dimensions of slowly escaping sets and annular itineraries for exponential functions ⋮ Entropy of transcendental entire functions ⋮ The escaping set of transcendental self-maps of the punctured plane ⋮ Escaping sets are not sigma-compact ⋮ The iterated minimum modulus and conjectures of Baker and Eremenko ⋮ Eremenko points and the structure of the escaping set
Cites Work
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- On the connectivity of Julia sets of transcendental entire functions
- On semiconjugation of entire functions
- Iteration of meromorphic functions
- On uniformly perfect boundary of stable domains in iteration of meromorphic functions II
- Fast escaping points of entire functions
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