Rational functions with only real periodic points
Algebraic Geometry
2020-10-28 v2 Dynamical Systems
Abstract
We study self-morphisms of smooth real projective algebraic curves that have only real periodic points. In the case of the projective line we provide a convenient characterization of such morphisms. We derive a semialgebraic description of the component of real fibered rational functions all of whose periodic points are real.
Cite
@article{arxiv.2004.10003,
title = {Rational functions with only real periodic points},
author = {Khazhgali Kozhasov and Mario Kummer},
journal= {arXiv preprint arXiv:2004.10003},
year = {2020}
}
Comments
7 pages