Expansion properties for finite subdivision rules I Dedicated to the Memories of William P. Thurston and Lei Tan  

作　　者：William J.Floyd Walter R.Parry Kevin M.Pilgrim 

机构地区：[1]Department of Mathematics, Virginia Tech [2]Department of Mathematics and Statistics, Eastern Michigan University [3]Department of Mathematics, Indiana University

出　　处：《Science China Mathematics》2018年第12期2237-2266,共30页中国科学：数学（英文版）

基　　金：supported by Simons Foundation Collaboration Grants for Mathematicians (Grant No. 245269)

摘　　要：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.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.

关 键 词：FINITE SUBDIVISION rule expanding MAP postcritically FINITE Thurston MAP 

分 类 号：O1[理学—数学]