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Mathematics > Complex Variables

arXiv:1405.5816 (math)
[Submitted on 22 May 2014]

Title:Degenerate conformal structures

Authors:Ricardo Pérez Marco
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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.
Comments: 41 pages, 1 figure
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG); Dynamical Systems (math.DS)
MSC classes: 30C62 37F10
Cite as: arXiv:1405.5816 [math.CV]
  (or arXiv:1405.5816v1 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.1405.5816

Submission history

From: Ricardo Pérez Marco [view email]
[v1] Thu, 22 May 2014 16:25:06 UTC (71 KB)
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