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arXiv · 1508.01589

On a characterization of polynomials among rational functions in non-archimedean dynamics

Yûsuke Okuyama·Małgorzata Stawiska
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Abstract

We study a question on characterizing polynomials among rational functions of degree $>1$ on the projective line over an algebraically closed field that is complete with respect to a non-trivial and non-archimedean absolute value, from the viewpoint of dynamics and potential theory on the Berkovich projective line.

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Yûsuke Okuyama, Małgorzata Stawiska. 2015-08-07. On a characterization of polynomials among rational functions in non-archimedean dynamics. https://arxiv.org/abs/1508.01589

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