The Medusa algorithm for polynomial matings

DOI10.1090/S1088-4173-2012-00245-7zbMath1291.37054arXiv1102.5047OpenAlexW1970886696MaRDI QIDQ2842880

Suzanne Hruska Boyd, Christian Henriksen

Publication date: 19 August 2013

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

Full work available at URL: https://arxiv.org/abs/1102.5047

zbMATH Keywords

algorithmJulia setmatingquadratic rational mapMedusa algorithmThurston's characterizationLattès examplespostcritically finite quadratic polynomialsshared matingstuning sequences of matings

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (4)

Questions about polynomial matings ⋮ Thurston's algorithm and rational maps from quadratic polynomial matings ⋮ Algorithmic Construction of Hurwitz Maps ⋮ The W. Thurston algorithm applied to real polynomial maps

Cites Work

• Thurston's pullback map on the augmented Teichmüller space and applications
• A partial description of parameter space of rational maps of degree two. I
• A proof of Thurston's topological characterization of rational functions
• Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Lévy cycle
• Twisted matings and equipotential gluings
• Matings of quadratic polynomials
• Mating Siegel quadratic polynomials
• Convergence of pinching deformations and matings of geometrically finite polynomials
• Pasting Together Julia Sets: A Worked Out Example of Mating
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