Publications
Preprint · arXiv · April 21, 2020
Rational functions with only real periodic points
Khazhgali Kozhasov, Mario Kummer
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.
Mathematical Dynamics and FractalsAlgebraic Geometry and Number TheoryAdvanced Differential Equations and Dynamical Systemsrational functionsprojective linesemialgebraic sets
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