On the classification of critically fixed rational maps

DOI10.1090/S1088-4173-2015-00275-1zbMath1384.37054arXiv1308.5895OpenAlexW2962757435MaRDI QIDQ5248110

Nicholas Nuechterlein, Kevin M. Pilgrim, Kristin Cordwell, Selina Gilbertson, Samantha Pinella

Publication date: 27 April 2015

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/1308.5895

zbMATH Keywords

critical pointfixed-pointclassification of rational maps

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Relations of low-dimensional topology with graph theory (57M15) Low-dimensional topology of special (e.g., branched) coverings (57M12) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (12)

A Classification of Postcritically Finite Newton Maps ⋮ Invariant spanning trees for quadratic rational maps ⋮ Convex foliations of degree 4 on the complex projective plane ⋮ Invariant graphs of rational maps ⋮ Quantum statistical mechanics of the absolute Galois group ⋮ Moduli spaces for dynamical systems with portraits ⋮ Convex foliations of degree 5 on the complex projective plane ⋮ Invariant Jordan curves of Sierpiński carpet rational maps ⋮ On the classification of critically fixed rational maps ⋮ Combinatorial properties of Newton maps ⋮ On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections ⋮ Circle packings, kissing reflection groups and critically fixed anti-rational maps

Uses Software

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