Discrete Conformal Approximation of Complex Earthquake Maps
Abstract
Using the techniques of circle packing, we construct discrete conformal approximations for complex earthquake maps on the Teichmueller spaces of compact, hyperbolic Riemann surfaces developed by William Thurston and Curtis McMullen, and we show that these approximations are convergent. We then describe earthquake maps on the Teichmueller spaces of compact, Euclidean Riemann surfaces, extending the work of Thurston and McMullen. Using the discrete conformal approximations developed for hyperbolic surfaces, we approximate the action of these new maps with circle packing.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 2005
- Accession Number
- ADA436256
Entities
People
- Eric M. Murphy
Organizations
- Texas Tech University