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Degenerate conformal structures

Published 22 May 2014 in math.CV, math.DG, and math.DS | (1405.5816v1)

Abstract: 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.

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