On periodic orbits of polynomial maps

Junho Peter Whang

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arXiv · 2305.13529

On periodic orbits of polynomial maps

Junho Peter Whang

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Abstract

We prove the existence of an effective universal upper bound for the order of any integral periodic orbit of any integral algebraic dynamical system in a fixed ambient space. Using this, we demonstrate the decidability of periodicity in arbitrary finitely generated algebraic dynamical systems over fields of characteristic zero.

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Junho Peter Whang. 2023-05-22. On periodic orbits of polynomial maps. https://arxiv.org/abs/2305.13529

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