Potential theory and a characterization of polynomials in complex dynamics
Complex Variables
2012-10-19 v2
Abstract
We obtain a measure theoretical characterization of polynomials among rational functions on , which generalizes a theorem of Lopes. Our proof applies both classical and dynamically weighted potential theory.
Keywords
Cite
@article{arxiv.1007.2824,
title = {Potential theory and a characterization of polynomials in complex dynamics},
author = {Yûsuke Okuyama and Małgorzata Stawiska},
journal= {arXiv preprint arXiv:1007.2824},
year = {2012}
}
Comments
Rewritten proof of the main theorem, results unchanged. Added references