Bounded earthquakes

Šarić, Dragomir

doi:10.1090/S0002-9939-07-09146-0

Bounded earthquakes
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Proc. Amer. Math. Soc. 136 (2008), 889-897 Request permission

Abstract:

We give a short proof of the fact that bounded earthquakes of the unit disk induce quasisymmetric maps of the unit circle. By a similar method, we show that symmetric maps are induced by bounded earthquakes with asymptotically trivial measures.

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