Nearly Euclidean Thurston maps

DOI10.1090/S1088-4173-2012-00248-2zbMath1329.37047arXiv1204.3615OpenAlexW2964128934MaRDI QIDQ2842883

Walter R. Parry, Kevin M. Pilgrim, James W. Cannon, William J. Floyd

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/1204.3615

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 (20)

Quotients of torus endomorphisms and Lattès-type maps ⋮ On the Pullback Relation on Curves Induced by a Thurston Map ⋮ The Pullback Map on Teichmüller Space Induced from a Thurston Map ⋮ Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence ⋮ On elastic graph spines associated to quadratic Thurston maps ⋮ Origami, affine maps, and complex dynamics ⋮ Algorithmic aspects of branched coverings ⋮ Presentations of NET maps ⋮ Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps ⋮ On the dynamics of n-circle inversion ⋮ Modular groups, Hurwitz classes and dynamic portraits of NET maps ⋮ Rationality is decidable for nearly Euclidean Thurston maps ⋮ Expansion properties for finite subdivision rules II ⋮ Quadratic Thurston maps with few postcritical points ⋮ On NET maps: Examples and nonexistence results ⋮ Algorithmic aspects of branched coverings. III/V: Erasing maps, orbispaces, and the Birman exact sequence ⋮ Boundary values of the Thurston pullback map ⋮ On the classification of critically fixed rational maps ⋮ Unnamed Item ⋮ Recognizing topological polynomials by lifting trees

Cites Work

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• Thurston's pullback map on the augmented Teichmüller space and applications
• A proof of Thurston's topological characterization of rational functions
• An algebraic formulation of Thurston's characterization of rational functions
• On Thurston's pullback map
• Finite subdivision rules
• Pasting Together Julia Sets: A Worked Out Example of Mating

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