Non-bulging Baker domains for transcendental skew products
Dynamical Systems
2025-10-30 v1 Complex Variables
Abstract
In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew products where all Fatou components with bounded orbits of an invariant attracting fiber do bulge.
Keywords
Cite
@article{arxiv.2510.25526,
title = {Non-bulging Baker domains for transcendental skew products},
author = {Anna Miriam Benini and Tom Potthink and Jasmin Raissy},
journal= {arXiv preprint arXiv:2510.25526},
year = {2025}
}