Parabolic-like maps
Dynamical Systems
2013-08-05 v3
Abstract
In this paper we introduce the notion of parabolic-like mapping, which is an object similar to a polynomial-like mapping, but with a parabolic external class, i.e. an external map with a parabolic fixed point. We prove a straightening theorem for parabolic-like maps, which states that any parabolic-like map of degree 2 is hybrid conjugate to a member of the family Per_1(1), and this member is unique (up to holomorphic conjugacy) if the filled Julia set of the parabolic-like map is connected.
Keywords
Cite
@article{arxiv.1111.7150,
title = {Parabolic-like maps},
author = {Luciana Luna Anna Lomonaco},
journal= {arXiv preprint arXiv:1111.7150},
year = {2013}
}
Comments
32 pages, 12 figures