Newton maps of complex exponential functions and parabolic surgery
Tom 241 / 2018
Streszczenie
The paper deals with Newton maps of complex exponential functions and a surgery tool developed by P. Haïssinsky. The concept of “postcritically minimal” Newton maps of complex exponential functions is introduced, analogous to postcritically finite Newton maps of polynomials. A 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.