Journal d’Analyse Mathématique

, Volume 85, Issue 1, pp 371–396 | Cite as

Earthquakes and circle packings

  • G. Brock Williams
Article

Abstract

We prove that earthquakes on hyperbolic surfaces can be approximated by discrete earthquakes constructed using circle packings. Consequently, we obtain a combinatorial version of Thurston’s Earthquake Theorem. Any surface can be approximated by combinatorial earthquakes of a packable surface. This provides a controlled combinatorial method for deforming hyperbolic surfaces.

Keywords

Boundary Vertex Hyperbolic Surface Interior Vertex Circle Packing Geodesic Lamination 

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Copyright information

© The Hebrew University Magnes Press 2001

Authors and Affiliations

  • G. Brock Williams
    • 1
  1. 1.Department of MathematicsTexas Tech UniversityLubbrockUSA

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