Hedgehogs in higher dimensions and their applications
Dynamical Systems
2017-12-29 v2 Complex Variables
Abstract
In this paper we study the dynamics of germs of holomorphic diffeomorphisms of with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.
Cite
@article{arxiv.1611.09840,
title = {Hedgehogs in higher dimensions and their applications},
author = {Mikhail Lyubich and Remus Radu and Raluca Tanase},
journal= {arXiv preprint arXiv:1611.09840},
year = {2017}
}