11 citations · 12 across the 3 of their papers we have counts for
4 papers
A classification of postcritically finite Newton maps
Russell Lodge, Yauhen Mikulich, Dierk Schleicher
The dynamical classification of rational maps is a central concern of holomorphic dynamics. Much progress has been made, especially on the classification of polynomials and some ap…
Combinatorial properties of Newton maps
Russell Lodge, Yauhen Mikulich, Dierk Schleicher
This paper constructs a combinatorial model for all postcritically finite rational maps arising as the Newton's method of a complex polynomial. This model is used in [LMS] to give…
A Combinatorial classification of postcritically fixed Newton maps
Kostiantyn Drach, Yauhen Mikulich, Johannes Rückert +1
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…
A Combinatorial Classification of Postcritically Fixed Newton Maps
Johannes Rückert
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…