# On a Characterization of Polynomials Among Rational Functions in Non-Archimedean Dynamics

On a Characterization of Polynomials Among Rational Functions in Non-Archimedean Dynamics We study a question on characterizing polynomials among rational functions of degree >1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$>1$$\end{document} 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Arnold Mathematical Journal Springer Journals

# On a Characterization of Polynomials Among Rational Functions in Non-Archimedean Dynamics

, Volume 6 (3-4) – Aug 13, 2020
24 pages

/lp/springer-journals/on-a-characterization-of-polynomials-among-rational-functions-in-non-O0q0l5j42K
Publisher
Springer Journals
Copyright © Institute for Mathematical Sciences (IMS), Stony Brook University, NY 2020
ISSN
2199-6792
eISSN
2199-6806
DOI
10.1007/s40598-020-00145-9
Publisher site
See Article on Publisher Site

### Abstract

We study a question on characterizing polynomials among rational functions of degree >1\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$>1$$\end{document} 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.

### Journal

Arnold Mathematical JournalSpringer Journals

Published: Aug 13, 2020