15 citations · 98 across the 57 of their papers we have counts for
69 papers
Holomorphic maps acting as Kobayashi isometries on a family of geodesics
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
Consider a holomorphic map between two domains in . Let denote a family of geodesics for the Kobayashi distance, such that acts as an i…
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 of the unit ball whose canonical Kobayashi hyperbolic semi-model is given by an elliptic…
Frames of quasi-geodesics, visibility and geodesic loops
Filippo Bracci
In this paper we give a characterization in terms of ``quasi-geodesics frames' of visibility and existence of geodesic loops for bounded domains in which are Kobayash…
Abstract boundaries and continuous extension of biholomorphisms
Filippo Bracci, Hervé Gaussier
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in , . These constructions essentially come f…
Shearing maps and a Runge map of the unit ball which does not embed into a Loewner chain with range
Filippo Bracci, Pavel Gumenyuk
In this paper we study the class of "shearing" holomorphic maps of the unit ball of the form . Besides general properties, we use such maps to construct a…
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance
Filippo Bracci, Hervé Gaussier, Nikolai Nikolov +1
We introduce the notion of locally visible and locally Gromov hyperbolic domains in . We prove that a bounded domain in is locally visible and locally Gr…