arXiv Open Access 2018

Fatou-Julia dichotomy of matrix-valued polynomials

Ratna Pal

Lihat Sumber

Abstrak

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 Böttcher-type functions for these matrix-valued polynomials.

Topik & Kata Kunci

math.DS math.CV

Penulis (1)

Ratna Pal

Format Sitasi

APA MLA BibTeX

Pal, R. (2018). Fatou-Julia dichotomy of matrix-valued polynomials. https://arxiv.org/abs/1810.09758

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓