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What is Expansion Properties of Thurston Maps about?

This document summarizes key results from the paper "Expansion Properties for Finite Subdivision Rules II" regarding conditions under which iterates of Thurston maps are isotopic to subdivision maps of finite subdivision rules. The main result is that every sufficiently large iterate of a Thurston map that is not doubly covered by a torus endomorphism and does not have a Levy cycle is isotopic to a subdivision map. Exceptions include maps with Levy cycles or those covered by torus endomorphisms with eigenva

Author

Gaston GB

Language

EN