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arXiv · 2308.05529

Escaping Fatou components with disjoint hyperbolic limit sets

Veronica Beltrami·Anna Miriam Benini·Alberto Saracco
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Abstract

We construct automorphisms of $\mathbb{C}^2$ 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.

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Veronica Beltrami, Anna Miriam Benini, Alberto Saracco. 2023-08-10. Escaping Fatou components with disjoint hyperbolic limit sets. https://arxiv.org/abs/2308.05529

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