A characterization of postcritically minimal Newton maps of complex exponential functions

DOI10.1017/etds.2017.137zbMath1425.37031arXiv1701.01902OpenAlexW2791816311WikidataQ115563872 ScholiaQ115563872MaRDI QIDQ5235025

Khudoyor Mamayusupov

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/1701.01902

zbMATH Keywords

Julia setsFatou componentNewton maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (7)

A Classification of Postcritically Finite Newton Maps ⋮ Unnamed Item ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ A characterization of postcritically minimal Newton maps of complex exponential functions ⋮ A combinatorial classification of postcritically fixed Newton maps ⋮ Puzzles and the Fatou–Shishikura injection for rational Newton maps ⋮ Disconnected Julia set of Halley's method for exponential maps

Cites Work

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• Newton maps of complex exponential functions and parabolic surgery
• A Classification of Postcritically Finite Newton Maps
• A characterization of postcritically minimal Newton maps of complex exponential functions
• How to be sure of finding a root of a complex polynomial using Newton's method
• On Newton's method for entire functions
• Quasiconformal Surgery in Holomorphic Dynamics
• Accesses to infinity from Fatou components
• Dynamics in One Complex Variable. (AM-160)
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