Dynamics in the complex bidisc
| dc.creator | Frosini, Chiara | |
| dc.date | 2004-02-02 | |
| dc.date | 2004-06-29 | |
| dc.date.accessioned | 2026-07-07T05:05:02Z | |
| dc.date.available | 2026-07-07T05:05:02Z | |
| dc.description | 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 the unit disc. If no such point exists then f has a unique boundary point, call it x, such that every horocycle E(x,R) of center x and radius R>0 is sent into itself by f. This boundary point is called the "Wolff point of f". In this paper we propose a definition of Wolff points for holomorphic maps defined on a bounded domain of C^{n}. In particular we characterize the set of Wolff points, W(f), of a holomorphic self-map f of the bidisc in terms of the properties of the components of the map f itself. | |
| dc.identifier | https://arxiv.org/abs/math/0402014 | |
| dc.identifier | http://arxiv.org/abs/math/0402014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70032 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A40; 32H50 | |
| dc.title | Dynamics in the complex bidisc | |
| dc.type | text |