An algebraic characterization of expanding Thurston maps

Details An algebraic characterization of expanding Thurston maps An algebraic characterization of expanding Thurston maps

2012-04-14

arxiv.org/abs/1204.3214v1

Mathematics

Dynamical Systems

Scientific paper

Let $f: S^2 \to S^2$ 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
$g$.

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