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arXiv · 1508.00547

Expansion properties for finite subdivision rules I

William J. Floyd·Walter R. Parry·Kevin M. Pilgrim
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Abstract

Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-sphere to itself), those that arise as subdivision maps of a finite subdivision rule form a special family. For such maps, we investigate relationships between various notions of expansion---combinatorial, dynamical, algebraic, and coarse-geometric.

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William J. Floyd, Walter R. Parry, Kevin M. Pilgrim. 2015-08-03. Expansion properties for finite subdivision rules I. https://arxiv.org/abs/1508.00547

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