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math.DS2024
Algebraic Stability for Skew Products
Richard A. P. Birkett
In this article we study algebraic stability for rational skew products in two dimensions , i.e. maps of the form . We prove…
math.DS2023
Skew Products on the Berkovich Projective Line
Richard A. P. Birkett
In this article, we develop a dynamical theory for what shall be called a skew product on the Berkovich projective line, $ϕ_*: \mathbb{P}^1_{\text{an}}(K) \to \mathbb{P}^1_{\text{a…
math.DS2021
On the Stabilisation of Rational Surface Maps
Richard A. P. Birkett
The dynamics of a rational surface map are easier to analyse when is `algebraically stable'. Here we investigate when and how this condition can be ac…