Potential theory and a characterization of polynomials in complex dynamics

Details Potential theory and a characterization of polynomials in complex dynamics Potential theory and a characterization of polynomials in complex dynamics

2010-07-16

arxiv.org/abs/1007.2824v2

Mathematics

Complex Variables

Rewritten proof of the main theorem, results unchanged. Added references

Scientific paper

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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