Dessins d'enfants and Hubbard trees

DOI10.1016/S0012-9593(00)01050-8zbMath1066.14503arXivmath/9905170MaRDI QIDQ2703174

Kevin M. Pilgrim

Publication date: 28 May 2001

Published in: Annales Scientifiques de l'à cole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905170

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Global ground fields in algebraic geometry (14G25)

Related Items (10)

Mapping schemes realizable by obstructed topological polynomials ⋮ Dynamical dessins are dense ⋮ Introduction to iterated monodromy groups ⋮ Unnamed Item ⋮ Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps ⋮ An algebraic formulation of Thurston’s combinatorial equivalence ⋮ Bounding the degree of Belyi polynomials ⋮ True trees are dense ⋮ Conservative polynomials and yet another action of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) on plane trees ⋮ On the classification of critically fixed rational maps

Cites Work

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• Computation and rationality of Belyi functions in genus zero
• A proof of Thurston's topological characterization of rational functions
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD

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