Filippo Bracci

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math.CV2025

Some open questions and conjectures about visibility and iteration in bounded convex domains in $C^{N}$

Filippo Bracci, Ahmed Yekta Ökten

In this note, we propose some open problems and questions about bounded convex domains in $C^{N}$ , specifically about visibility and iteration theory.

math.CV2025

On the failure of the Denjoy-Wolff Theorem in convex domains

Filippo Bracci, Ahmed Yekta Ökten

In this note, we construct examples of bounded smooth convex domains with no non-trivial analytic discs on the boundary which possess a holomorphic self-map without fixed points so…

math.CV2024

The Denjoy-Wolff Theorem in simply connected domains

Anna Miriam Benini, Filippo Bracci

We characterize the simply connected domains $Ω ⊊ C$ that exhibit the Denjoy-Wolff Property, meaning that every holomorphic self-map of $Ω$ without fixed points has…

Some open questions and conjectures about visibility and iteration in bounded convex domains in CN

On the failure of the Denjoy-Wolff Theorem in convex domains

The Denjoy-Wolff Theorem in simply connected domains

Some open questions and conjectures about visibility and iteration in bounded convex domains in $C^{N}$