On invariant line fields of rational functions
Dynamical Systems
2024-08-28 v1 Complex Variables
Abstract
Adopting the approach of [7] we study rational function carrying invariant line fields on the Julia set. In particular, we show that under certain weak conditions all possible measurable invariant line fields of a rational function on its Julia set are determined, in a precise sense, by a finite list of canonically defined holomorphic line fields.
Keywords
Cite
@article{arxiv.2408.14936,
title = {On invariant line fields of rational functions},
author = {Genadi Levin},
journal= {arXiv preprint arXiv:2408.14936},
year = {2024}
}