Abstract
Thurston developed shearing earthquake maps as transformations in the Teichmüller space of hyperbolic Riemann surfaces, and McMullen expanded these transformations to include grafting earthquake maps on hyperbolic surfaces. Subsequently, the authors defined an extension of these transformations in describing complex earthquake maps on the Teichmüller space of compact tori. In this paper, we develop computational methods for these transformations using the techniques of circle packing.
Original language | English |
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Pages (from-to) | 423-447 |
Number of pages | 25 |
Journal | Annales Academiae Scientiarum Fennicae Mathematica |
Volume | 36 |
Issue number | 1 |
DOIs | |
State | Published - 2011 |
Keywords
- Circle packing
- Conformal maps
- Teichmüller theory