Dynamical height growth: left, right, and total orbits
Number Theory
2021-08-04 v1 Dynamical Systems
Abstract
Let be a set of dominant rational self-maps on . We study the arithmetic and dynamical degrees of infinite sequences of obtained by sequentially composing elements of on the right and left. We then apply this insight to dynamical Galois theory.
Cite
@article{arxiv.2002.09798,
title = {Dynamical height growth: left, right, and total orbits},
author = {Wade Hindes},
journal= {arXiv preprint arXiv:2002.09798},
year = {2021}
}