A combinatorial classification of postcritically fixed Newton maps

DOI10.1017/etds.2018.2zbMath1431.37042arXiv1010.5280OpenAlexW3103891566MaRDI QIDQ5235117

Kostiantyn Drach, Johannes Rückert, Yauhen Mikulich, Dierk Schleicher

Publication date: 7 October 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5280

zbMATH Keywords

attracting fixed pointpostcritically fixed Newton maps

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items

Dynamics of Newton maps, A Classification of Postcritically Finite Newton Maps, The dynamics of complex box mappings, Rigidity of Newton dynamics, Invariant graphs of rational maps, Rigidity of non-renormalizable Newton maps, Perturbations of graphs for Newton maps I: bounded hyperbolic components, On the core entropy of Newton maps, Puzzles and the Fatou–Shishikura injection for rational Newton maps, Newton's method in practice: finding all roots of polynomials of degree one million efficiently

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