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arxiv: 1508.00547 · v1 · pith:BEZ23R5Knew · submitted 2015-08-03 · 🧮 math.DS

Expansion properties for finite subdivision rules I

classification 🧮 math.DS
keywords finitemapssubdivisionalgebraicarisebranchedcoarse-geometriccoverings
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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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