Work

Rational functions with only real periodic points

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2004.10003

Authors: Kozhasov, Khazhgali, Kummer, Mario

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3020014437

Cites: 11

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Related to: 10