Renormalizations and wandering Jordan curves of rational maps

DOI10.1007/s00220-016-2623-xzbMath1362.37095arXiv1403.5024OpenAlexW2963306627MaRDI QIDQ293040

Wenjuan Peng, Lei Tan, Guizhen Cui

Publication date: 9 June 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5024

zbMATH Keywords

renormalizationrational mapspost-critically finite mapswandering Jordan curves

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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

A characterization of Sierpiński carpet rational maps ⋮ From rubber bands to rational maps: a research report ⋮ On the Pullback Relation on Curves Induced by a Thurston Map ⋮ Rees-Shishikura's theorem for geometrically finite rational maps ⋮ A positive characterization of rational maps ⋮ On the cycles of components of disconnected Julia sets

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