V. Beltrami

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20232025

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math.DS2024

Automorphisms of $C^{2}$ with cycles of escaping Fatou components with hyperbolic limit sets

Veronica Beltrami

We study the stable dynamics of non-polynomial automorphisms of $C^{2}$ of the form $F (z, w) = (e^{- z^{m}} + δ e^{\frac{2 π}{m} i} w, z)$ , with $m \geq 2$ a natural number and $\…

math.DS2023

Escaping Fatou components with disjoint hyperbolic limit sets

Veronica Beltrami, Anna Miriam Benini, Alberto Saracco

We construct automorphisms of $C^{2}$ with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component…

Automorphisms of C2 with cycles of escaping Fatou components with hyperbolic limit sets

Escaping Fatou components with disjoint hyperbolic limit sets

Automorphisms of $C^{2}$ with cycles of escaping Fatou components with hyperbolic limit sets