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 language | English |
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Pages (from-to) | 2139-2146 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 134 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2006 |
Keywords
- Circle packing
- Quasiconformal maps
- Teichmüller theory