On the spherical derivative of a rational function
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Publication:461365
DOI10.1007/S13324-014-0071-3zbMath1303.30025arXiv1207.5214OpenAlexW2114261587MaRDI QIDQ461365
Matthew Barrett, Alexandre Eremenko
Publication date: 10 October 2014
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.5214
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) Meromorphic functions of one complex variable (general theory) (30D30)
Related Items (3)
New partially hyperbolic dynamical systems. I ⋮ Characteristic Exponents of Rational Functions ⋮ Lyapunov exponents and related concepts for entire functions
Cites Work
- Unnamed Item
- Periodic points of polynomials
- On conjectures of Arakelyan and Littlewood
- On a conjecture of Littlewood
- Distortion growth for iterations of diffeomorphisms of the interval
- Parabolic orbifolds and the dimension of the maximal measure for rational maps
- A growth gap for diffeomorphisms of the interval
- Slow area-preserving diffeomorphisms of the torus
- Lyapunov spectrum for exceptional rational maps
- A Packing Problem for Holomorphic Curves
- PROOF OF A CONDITIONAL THEOREM OF LITTLEWOOD ON THE DISTRIBUTION OF VALUES OF ENTIRE FUNCTIONS
- Lower Estimate in Littlewood's Conjecture on the Mean Spherical Derivative of a Polynomial and Iteration Theory
- On some Conjectural Inequalities, with Applications to the Theory of Integral Functions
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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