Topological cubic polynomials with one periodic ramification point

DOI10.3934/dcds.2020094zbMath1432.37072OpenAlexW2996222494MaRDI QIDQ2301705

Jan Kiwi, Matthieu Arfeux

Publication date: 25 February 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020094

zbMATH Keywords

cubic polynomialsperiodic curvestopological polynomials

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (2)

Irreducibility of periodic curves in cubic polynomial moduli space ⋮ Intersections between boundaries of bounded hyperbolic components of cubic polynomials

Cites Work

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• The iteration of cubic polynomials. I: The global topology of parameter space
• The iteration of cubic polynomials. II: Patterns and parapatterns
• A characterization of hyperbolic rational maps
• Cubic polynomial maps with periodic critical orbit, Part II: Escape regions
• Dynamics in One Complex Variable. (AM-160)

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