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.
Original language | English |
---|---|
Pages (from-to) | 371-396 |
Number of pages | 26 |
Journal | Journal d'Analyse Mathematique |
Volume | 85 |
DOIs | |
State | Published - 2001 |