2010/11/08 by Sylvain Bonnot, Bonnot, Sylvain, Michael Yampolsky +1
Mathematics · #37F20 #37F30 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS #msc:37F20 #msc:37F30
paper · pdf · doi:10.48550/arxiv.1011.1929
The paper has been withdrawn
openalex publication_date 2010/11/08 · arxiv created 2010/11/17 · arxiv updated 2010/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.