Expansion properties for finite subdivision rules I
Science China Mathematics
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.
Link to Published Version
Floyd, W. J., Parry, W. R., & Pilgrim, K. M. (2018). Expansion properties for finite subdivision rules I. Science China Mathematics, 61(12), 2237–2266. https://doi.org/10.1007/s11425-016-9265-y