Enumerating the basins of infinity of cubic polynomials

DOI10.1080/10236190903241671zbMath1247.37039arXiv0908.1782OpenAlexW1980769219MaRDI QIDQ3570125

Laura DeMarco, Aaron Schiff

Publication date: 24 June 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1782

zbMATH Keywords

polynomialFatou setbasin of infinity

Mathematics Subject Classification ID

Related Items (7)

The Geometry of the Critically Periodic Curves in the Space of Cubic Polynomials ⋮ Critical heights on the moduli space of polynomials ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ The classification of polynomial basins of infinity ⋮ Cubic polynomial maps with periodic critical orbit, Part II: Escape regions ⋮ Unnamed Item ⋮ A NEW PROOF OF THE REALISATION OF CUBIC TABLEAUX

Cites Work

• Polynomial basins of infinity
• The dynamics of complex polynomials and automorphisms of the shift
• The iteration of cubic polynomials. I: The global topology of parameter space
• The iteration of cubic polynomials. II: Patterns and parapatterns

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