Rigidity of non-renormalizable Newton maps
Dynamical Systems
2023-08-28 v2
Abstract
Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-conformal conjugacy in this case.
Keywords
Cite
@article{arxiv.1811.09978,
title = {Rigidity of non-renormalizable Newton maps},
author = {Pascale Roesch and Yongcheng Yin and Jinsong Zeng},
journal= {arXiv preprint arXiv:1811.09978},
year = {2023}
}
Comments
21 pages, 1 figures. To appear in SCIENCE CHINA Mathematics