Circle packing complex earthquakes

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)423-447
Number of pages25
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume36
Issue number1
DOIs
StatePublished - 2011

Keywords

  • Circle packing
  • Conformal maps
  • Teichmüller theory

Fingerprint Dive into the research topics of 'Circle packing complex earthquakes'. Together they form a unique fingerprint.

  • Cite this