A Combinatorial Classification of Postcritically Fixed Newton Maps
动力系统
2012-03-24 v1
摘要
We give a combinatorial classification for the class of postcritically fixed Newton maps of polynomials and indicate potential for extensions. As our main tool, we show that for a large class of Newton maps that includes all hyperbolic ones, every component of the basin of an attracting fixed point can be connected to infinity through a finite chain of such components.
引用
@article{arxiv.math/0701176,
title = {A Combinatorial Classification of Postcritically Fixed Newton Maps},
author = {Johannes Rückert},
journal= {arXiv preprint arXiv:math/0701176},
year = {2012}
}
备注
21 pages, 3 figures. Submitted to Annales Academiae Scientiarum Fennicae Mathematica