Circle packing complex earthquakes

Roger W. Barnard, Eric M. Murphy, G. Brock Williams

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)423-447
Number of pages25
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Issue number1
StatePublished - 2011


  • Circle packing
  • Conformal maps
  • Teichmüller theory


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