Fatou-Julia dichotomy of matrix-valued polynomials

DOI10.1016/j.jmaa.2018.12.080zbMath1417.32021arXiv1810.09758OpenAlexW2964349793WikidataQ120836001 ScholiaQ120836001MaRDI QIDQ2633334

Ratna Pal

Publication date: 8 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09758

zbMATH Keywords

Julia setFatou setmatrix-valued polynomials

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

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• Fatou and Julia sets for entire mappings in \(\mathbb{C}^k\)
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• Itération d’applications rationnelles dans les espaces de matrices