Unicritical polynomial maps with rational multipliers
Dynamical Systems
2020-09-08 v1
Abstract
In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.
Keywords
Cite
@article{arxiv.2009.02422,
title = {Unicritical polynomial maps with rational multipliers},
author = {Valentin Huguin},
journal= {arXiv preprint arXiv:2009.02422},
year = {2020}
}
Comments
23 pages, 2 figures