By Javier Iglesias and others

We show that the growth inequality rate \limsup \frac{1}{n} \log (\# Fix (f^n))\geq \log d holds for branched coverings of degree *d* of the sphere *S^2* having a completely invariant simply connected region *R* with locally connected boundary, except in some degenerate cases with known couterexamples.

December 7, 2016

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Sphere branched coverings and the growth rate inequality

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