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math.DS2023
Entire maps with rational preperiodic points and multipliers
Xavier Buff, Igors Gorbovickis, Valentin Huguin
Given a number field that is not contained in , we prove the existence of a dense set of entire maps $f \colon \mathbb{C} \rightarrow \m…
math.DS2023
Introduction to Fatou components in holomorphic dynamics
Xavier Buff, Jasmin Raissy
This survey is an introduction to the classification of Fatou components in holomorphic dynamics. We start with the description of the Fatou and Julia sets for rational maps of the…