Semi-hyperbolic maps are rare
Dynamical Systems
2016-05-23 v1
Abstract
We prove in this paper that the set of semi-hyperbolic rational maps has Lebesgue measure zero in the space of rational maps of the Riemann sphere for a fixed degree d at least 2. It generalises an earlier result by J. Graczyk and the author who proved the same thing in degree 2.
Cite
@article{arxiv.1605.06162,
title = {Semi-hyperbolic maps are rare},
author = {Magnus Aspenberg},
journal= {arXiv preprint arXiv:1605.06162},
year = {2016}
}
Comments
6 pages