Wandering Domains in $\mathbb{C}\times \mathbb{R}$
Complex Variables
2022-09-16 v1 Dynamical Systems
Abstract
Approximation theory of entire functions has been used to demonstrate the construction of a map on having wandering domains. We also present suitable modification to this construction that helps in obtaining maps with similar characteristics such as infinitely many attracting Fatou components, infinitely many wandering domains having common paths, etc.
Cite
@article{arxiv.2209.07473,
title = {Wandering Domains in $\mathbb{C}\times \mathbb{R}$},
author = {Ramanpreet Kaur},
journal= {arXiv preprint arXiv:2209.07473},
year = {2022}
}