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arXiv · 2002.09798

Dynamical height growth: left, right, and total orbits

Wade Hindes
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Abstract

Let $S$ be a set of dominant rational self-maps on $\mathbb{P}^N$. We study the arithmetic and dynamical degrees of infinite sequences of $S$ obtained by sequentially composing elements of $S$ on the right and left. We then apply this insight to dynamical Galois theory.

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Wade Hindes. 2020-02-23. Dynamical height growth: left, right, and total orbits. https://doi.org/10.2140/pjm.2021.311.329

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