Filippo Bracci

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math.CV2025

Holomorphic maps acting as Kobayashi isometries on a family of geodesics

Filippo Bracci, Åukasz KosiÅski, WÅodzimierz Zwonek

Consider a holomorphic map $F : D \to G$ between two domains in $C^{N}$ . Let $F$ denote a family of geodesics for the Kobayashi distance, such that $F$ acts as an i…

math.CV2024

A counterexample to parabolic dichotomies in holomorphic iteration

Leandro Arosio, Filippo Bracci, Herv/'e Gaussier

We give an example of a parabolic holomorphic self-map $f$ of the unit ball $B^{2} \subset C^{2}$ whose canonical Kobayashi hyperbolic semi-model is given by an elliptic…