A Circle packing measurable riemann mapping theorem

Research output: Contribution to journalArticle

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Abstract

We prove a circle packing version of the Measurable Riemann Mapping Theorem in the spirit of Rodin and Sullivan's Circle Packing Riemann Mapping Theorem. We also construct circle packing maps of the plane onto itself with prescribed dilatation.

Original languageEnglish
Pages (from-to)2139-2146
Number of pages8
JournalProceedings of the American Mathematical Society
Volume134
Issue number7
DOIs
StatePublished - Jul 2006

Keywords

  • Circle packing
  • Quasiconformal maps
  • Teichmüller theory

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