Earthquakes and circle packings
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- Williams, G.B. J. Anal. Math. (2001) 85: 371. doi:10.1007/BF02788088
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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.