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arxiv: 1007.2824 · v2 · pith:YCHPPHVJnew · submitted 2010-07-16 · 🧮 math.CV

Potential theory and a characterization of polynomials in complex dynamics

Y\^usuke Okuyama , Ma{\l}gorzata Stawiska This is my paper
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keywords characterizationpolynomialspotentialtheoryappliesclassicalcomplexdynamically
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We obtain a measure theoretical characterization of polynomials among rational functions on $\mathbb{P}^1$, which generalizes a theorem of Lopes. Our proof applies both classical and dynamically weighted potential theory.

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