Newton maps of complex exponential functions and parabolic surgery
Volume 241 / 2018
Fundamenta Mathematicae 241 (2018), 265-290
MSC: Primary 30D05, 37F30, 37F45.
DOI: 10.4064/fm345-9-2017
Published online: 12 January 2018
Abstract
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.
