English

Newton maps of complex exponential functions and parabolic surgery

Dynamical Systems 2018-06-07 v2

Abstract

The paper deals with Newton maps of complex exponential functions and a surgery tool developed by P. Ha\"issinsky. The concept of "Postcritically minimal" Newton maps of complex exponential functions are introduced, analogous to postcritically finite Newton maps of polynomials. The dynamics preserving mapping is constructed between the space of postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton maps of complex exponential functions.

Keywords

Cite

@article{arxiv.1612.08643,
  title  = {Newton maps of complex exponential functions and parabolic surgery},
  author = {Khudoyor Mamayusupov},
  journal= {arXiv preprint arXiv:1612.08643},
  year   = {2018}
}

Comments

Final version with changed title

R2 v1 2026-06-22T17:35:12.842Z