scientific article; zbMATH DE number 1460706

DOI10.1090/S1088-4173-00-00050-3zbMath0989.37038OpenAlexW1897909926MaRDI QIDQ4485791

Kelly Plummer, Kevin M. Pilgrim, Eva Brezin, Rosemary Byrne, Joshua B. Levy

Publication date: 18 June 2000

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-00-00050-3

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zbMATH Keywords

Gröbner basesbranched coveringnormal formJulia setHubbard treeone-dimensional discrete holomorphic dynamical systemspostcritically finite rational functions

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (11)

Mapping schemes realizable by obstructed topological polynomials ⋮ Thurston equivalence of topological polynomials ⋮ Constructing rational maps from subdivision rules ⋮ Dynamical dessins are dense ⋮ A positive characterization of rational maps ⋮ Teichmüller theory and critically finite endomorphisms ⋮ Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps ⋮ Resultants and discriminants of multiplication polynomials for elliptic curves ⋮ Quadratic Thurston maps with few postcritical points ⋮ On the classification of critically fixed rational maps ⋮ A census of quadratic post-critically finite rational functions defined over

Uses Software

• SnapPea

Cites Work

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• Dessins d'enfants and Hubbard trees
• Realizability of Branched Coverings of Surfaces
• A census of cusped hyperbolic 3-manifolds
• Combining rational maps and controlling obstructions
• Geometry and Dynamics of Quadratic Rational Maps
• Rational maps whose Fatou components are Jordan domains

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