A Non-Autonomous Version Of The Denjoy-Wolff Theorem
Dynamical Systems
2009-10-16 v1 Complex Variables
Abstract
The aim of this work is to establish the celebrated Denjoy-Wolff Theorem in the context of generalized Loewner chains. In contrast with the classical situation where essentially convergence to a certain point in the closed unit disk is the unique possibility, several new dynamical phenomena appear in this framework. Indeed, -limits formed by suitable closed arcs of circumferences appear now as natural possibilities of asymptotic dynamical behavior.
Cite
@article{arxiv.0910.2875,
title = {A Non-Autonomous Version Of The Denjoy-Wolff Theorem},
author = {Tiziano Casavecchia and Santiago Diaz-Madrigal},
journal= {arXiv preprint arXiv:0910.2875},
year = {2009}
}