arXiv:1701.01902 Abstract | arXiv Analytics

arXiv:1701.01902 [math.DS]Abstract References Reviews Resources

A classification of postcritically minimal Newton maps of entire functions

Published 2017-01-08Version 1

We obtain a unique, canonical one-to-one correspondence between postcritically minimal rational Newton maps arising from entire maps of the complex plane and postcritically finite Newton maps of polynomials, which preserves the dynamics of Julia sets. This bijection is induced by parabolic surgery developed by P. Ha\"issinsky.

Comments: 29 pages, 6 figures

Categories: math.DS

Subjects: 30D05, 37F10

Keywords: postcritically minimal newton maps, entire functions, classification, postcritically minimal rational newton maps, minimal rational newton maps arising

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