Browsing by Author "Pilgrim, K.M."
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Item An algebraic characterization of expanding Thurston maps(American Institute of Mathematical Sciences, 2012) Haïssinsky, P.; Pilgrim, K.M.Let $f:S^{2} \rightarrow S^{2}$ be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for $f$ to be homotopic, relative to its postcritical set, to an expanding map $g$.