3 papers
math.CV2007
Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs
Chiara Frosini
The classical Julia-Wolff-Caratheodory Theorem is one of the main tools to study the boundary behavior of holomorphic self-maps of the unit disc of $\C$. In this paper we prove a J…
math.CV2007
Upper-bound for the number of robust parabolic curves for a class of maps tangent to identity
Francesco Degli Innocenti, Chiara Frosini
The Leau-Fatou flower theorem completely describes the dynamic behavior of dimensional maps tangent to the identity. In dimension two Hakim and Abate proved that if is a ho…
math.CV2004
Dynamics in the complex bidisc
Chiara Frosini
Let Delta^{n} be the unit polydisc in C^{n} and let f be a holomorphic self map of Delta^{n}. When n=1, it is well known, by Schwarz's lemma, that f has at most one fixed point in…