Potential theory and a characterization of polynomials in complex dynamics

DOI10.1090/S1088-4173-2011-00230-XzbMath1252.37036arXiv1007.2824OpenAlexW2963684718MaRDI QIDQ2888642

Małgorzata Stawiska, Yûsuke Okuyama

Publication date: 1 June 2012

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2824

zbMATH Keywords

harmonic measurecomplex dynamicsweighted potential theorybalanced measureBrolin's theoremLopes' theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (9)

On a characterization of polynomials among rational functions in non-Archimedean dynamics ⋮ Parabolic bifurcation loci in the spaces of rational functions ⋮ Limit functions of discrete dynamical systems ⋮ Hyperbolic components of rational maps: quantitative equidistribution and counting ⋮ Fekete configuration, quantitative equidistribution and wandering critical orbits in non-archimedean dynamics ⋮ Rational functions with identical measure of maximal entropy ⋮ Approximation of non-archimedean Lyapunov exponents and applications over global fields ⋮ A generalization of the converse of Brolin’s theorem ⋮ Quantitative approximations of the Lyapunov exponent of a rational function over valued fields

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