Earthquakes and circle packings

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11 Scopus citations


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 languageEnglish
Pages (from-to)371-396
Number of pages26
JournalJournal d'Analyse Mathematique
StatePublished - 2001


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