Dynamical height growth: left, right, and total orbits

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.

References in corpus (1)

• On Quantitative estimates for quasiintegral points in orbits of semigroups of rational functions

Cited by in corpus (1)

• Counting rational maps on ${\mathbb{P}}^1$ with prescribed local conditions