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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Acknowledgements
The authors thank the referee for a very careful scrutiny and invaluable comments. The first author was partially supported by JSPS Grant-in-Aid for Scientific Research (C), 15K04924 and 19K03541 and (B), 19H01798.
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Okuyama, Y., Stawiska, M. On a Characterization of Polynomials Among Rational Functions in Non-Archimedean Dynamics. Arnold Math J. 6, 407–430 (2020). https://doi.org/10.1007/s40598-020-00145-9
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DOI: https://doi.org/10.1007/s40598-020-00145-9