Bounded hyperbolic components of bicritical rational maps
Dynamical Systems
2019-03-22 v1
Abstract
We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical rational maps. Our arguments rely on arithmetic methods.
Cite
@article{arxiv.1903.08873,
title = {Bounded hyperbolic components of bicritical rational maps},
author = {Hongming Nie and Kevin M. Pilgrim},
journal= {arXiv preprint arXiv:1903.08873},
year = {2019}
}
Comments
17 pages