Fatou-Julia dichotomy of matrix-valued polynomials
Dynamical Systems
2018-10-24 v1 Complex Variables
Abstract
This article gives a precise description of the Fatou sets and Julia sets of matrix-valued polynomials in in terms of the corresponding polynomials in . Further, we construct Green functions and B\"{o}ttcher-type functions for these matrix-valued polynomials.
Keywords
Cite
@article{arxiv.1810.09758,
title = {Fatou-Julia dichotomy of matrix-valued polynomials},
author = {Ratna Pal},
journal= {arXiv preprint arXiv:1810.09758},
year = {2018}
}