On quasi-invariant curves
Dynamical Systems
2019-04-17 v4 Complex Variables
Abstract
Quasi-invariant curves are used in the study of hedgehog dynamics. Denjoy-Yoccoz lemma is the preliminary step for Yoccoz's complex renormalization techniques for the study of linearization of analytic circle diffeomorphisms. We give a geometric interpretation of Denjoy-Yoccoz lemma using the hyperbolic metric that gives a direct construction of quasi-invariant curves without renormalization.
Cite
@article{arxiv.1802.06726,
title = {On quasi-invariant curves},
author = {Ricardo Pérez-Marco},
journal= {arXiv preprint arXiv:1802.06726},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1802.03630