2011/02/10 by Sylvain Bonnot, Bonnot, Sylvain, Michael Yampolsky +1
Mathematics · #37F10 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #math.DS #math.GT #msc:37F10
paper · pdf · doi:10.48550/arxiv.1102.2247
Minor update
arxiv created 2012/05/02 · arxiv updated 2012/05/03
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K. Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurston obstruction. It is thus Thurston equivalent to a rational map.