Expansion properties for finite subdivision rules. I.

DOI10.1007/s11425-016-9265-yzbMath1404.37048arXiv1508.00547OpenAlexW2964258475MaRDI QIDQ1756057

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

Publication date: 11 January 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00547

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)

Expansion properties for finite subdivision rules II

Cites Work

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• An algebraic characterization of expanding Thurston maps
• Classification of subdivision rules for geometric groups of low dimension
• Topological characterization of the Sierpiński curve
• Expansion complexes for finite subdivision rules. II
• The Classification of Critically Preperiodic Polynomials as Dynamical Systems
• Finite subdivision rules
• Expanding Thurston Maps
• Constructing rational maps from subdivision rules
• Constructing subdivision rules from rational maps
• Expansion complexes for finite subdivision rules. I

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