11 citations · 20 across the 3 of their papers we have counts for
3 papers
math.DS2010★ 11 cited
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…
math.DS2007★ 9 cited
Dynamic rays of bounded-type entire functions
Günter Rottenfußer, Johannes Rückert, Lasse Rempe +1
We construct an entire function in the Eremenko-Lyubich class $\B$ whose Julia set has only bounded path-components. This answers a question of Eremenko from 1989 in the negative.…
math.DS2007
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…