Newton maps of complex exponential functions and parabolic surgery

Autor: Mamayusupov, Khudoyor
Rok vydání: 2016
Předmět:
Zdroj: Fundamenta Mathematicae (2018) Vol. 241. No. 3. P. 265-290
Druh dokumentu: Working Paper
DOI: 10.4064/fm345-9-2017
Popis: 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.
Comment: Final version with changed title
Databáze: arXiv