On parabolic external maps
Dynamical Systems
2017-11-17 v2
Abstract
We prove that any degree circle covering having all periodic orbits weakly expanding, is conjugate in the same smoothness class to a metrically expanding map. We use this to connect the space of parabolic external maps (coming from the theory of parabolic-like maps) to metrically expanding circle coverings.
Cite
@article{arxiv.1603.01609,
title = {On parabolic external maps},
author = {Luna Lomonaco and Carsten Petersen and Weixiao Shen},
journal= {arXiv preprint arXiv:1603.01609},
year = {2017}
}