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arXiv · 1510.02761

Combinatorial properties of Newton maps

Russell Lodge·Yauhen Mikulich·Dierk Schleicher
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Abstract

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 finite Newton maps of any degree.

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Russell Lodge, Yauhen Mikulich, Dierk Schleicher. 2015-10-09. Combinatorial properties of Newton maps. https://arxiv.org/abs/1510.02761

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