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arXiv · 1701.01902

A characterization of postcritically minimal Newton maps of complex exponential functions

Khudoyor Mamayusupov
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Abstract

We obtain a unique, canonical one-to-one correspondence between the space of marked postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton maps of entire maps that take the form $p(z) \text{exp}(q(z))$ for $p(z)$, $q(z)$ polynomials and $\text{exp}(z)$, the complex exponential function. This bijection preserves the dynamics and embedding of Julia sets and is induced by a surgery tool developed by Ha\"issinsky.

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Khudoyor Mamayusupov. 2017-01-08. A characterization of postcritically minimal Newton maps of complex exponential functions. https://doi.org/10.1017/etds.2017.137

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