Escaping Fatou components with disjoint hyperbolic limit sets
Dynamical Systems
2023-08-11 v1
Abstract
We construct automorphisms of with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component, the limit sets for these limit functions are two disjoint hyperbolic subsets of the line at infinity.
Keywords
Cite
@article{arxiv.2308.05529,
title = {Escaping Fatou components with disjoint hyperbolic limit sets},
author = {Veronica Beltrami and Anna Miriam Benini and Alberto Saracco},
journal= {arXiv preprint arXiv:2308.05529},
year = {2023}
}