Bounded critical Fatou components are Jordan domains for polynomials

DOI10.1007/s11425-020-1827-4zbMath1492.37053arXiv0909.4598OpenAlexW1665301538MaRDI QIDQ2078991

Yongcheng Yin, Pascale Roesch

Publication date: 4 March 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4598

zbMATH Keywords

puzzlelocal connectivityFatou componentJordan domain

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items

Dynamics of Newton maps ⋮ Rigidity of non-renormalizable Newton maps ⋮ Dynamics of McMullen maps

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