Sphere branched coverings and the growth rate inequality

2016/12/07 by Iglesias, J., Portela, A., Rovella, A. +1 · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.02356

Abstract

We show that the growth inequality rate \limsup (1)/(n) log (# Fix (fⁿ))≥ log d holds for branched coverings of degree d of the sphere S² having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.

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