Expansion properties for finite subdivision rules II

DOI10.1090/ecgd/347zbMath1436.37058arXiv1908.07571OpenAlexW2999026266WikidataQ126356657 ScholiaQ126356657MaRDI QIDQ5211802

Walter R. Parry, Kevin M. Pilgrim, William J. Floyd

Publication date: 28 January 2020

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/1908.07571

zbMATH Keywords

postcritically finiteThurston mapfinite subdivision ruleexpanding map

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional topology of special (e.g., branched) coverings (57M12) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (1)

Invariant graphs of rational maps

Cites Work

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• A proof of Thurston's topological characterization of rational functions
• Combinations of complex dynamical systems
• Expansion properties for finite subdivision rules. I.
• An algebraic characterization of expanding Thurston maps
• Nearly Euclidean Thurston maps
• Hyperbolic Components
• Lattès maps and finite subdivision rules
• Finite subdivision rules
• Algorithmic aspects of branched coverings IV/V. Expanding maps
• Expanding Thurston Maps
• Algorithmic aspects of branched coverings
• Invariant Jordan curves of Sierpiński carpet rational maps
• Complex Dynamics and Renormalization (AM-135)
• Constructing subdivision rules from rational maps
• Constructive geometrization of Thurston maps and decidability of Thurston equivalence

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