2014/05/22 by Ricardo Pérez Marco, Marco, Ricardo Pérez
Mathematics · #30C62 37F10 #Complex Variables (math.CV) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CV #math.DG #math.DS #msc:30C62 #msc:37F10
paper · pdf · doi:10.48550/arxiv.1405.5816
41 pages, 1 figure
arxiv created 2014/05/22 · arxiv updated 2014/05/23
We present new rectification theorems of degenerate quasi-conformal structures that give a meaning to quotients of Riemann surfaces with empty interior "fundamental domains". These techniques are used to define the unique renormalization of polynomials with Cantor set Julia sets.