## Fatou-Julia dichotomy of matrix-valued polynomials. (arXiv:1810.09758v1 [math.DS])

This article gives a precise description of the Fatou sets and Julia sets of matrix-valued polynomials in $\mathcal{M}(2,\mathbb{C})$ in terms of the corresponding polynomials in $\mathbb{C}$. Further, we construct Green functions and B\"{o}ttcher-type functions for these matrix-valued polynomials. 查看全文>>