Year: 2018
Type: article
Abstract: We give a combinatorial classification for the class of postcritically fixed Newton maps of polynomials as dynamical systems. This lays the foundation for classification results of more general classes of Newton maps. A fundamental ingredient is the proof that for every Newton map (postcritically finite or not) every connected component of the basin of an attracting fixed point can be connected to $\infty$ through a finite chain of such components.
DOI: 10.1017/etds.2018.2
Authors: KOSTIANTYN DRACH, YAUHEN MIKULICH, JOHANNES RÜCKERT, DIERK SCHLEICHER
Institution: Constructor University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2133066909