Bounded earthquakes
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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.References
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Additional Information
- Dragomir Šarić
- Affiliation: Institute for Mathematical Sciences, Stony Brook University, Stony Brook, New York 11794-3660
- Address at time of publication: Department of Mathematics, Queens College of CUNY, 65-30 Kissena Blvd., Flushing, New York 11367
- Email: saric@math.sunysb.edu, dragomir.saric@qc.cuny.edu
- Received by editor(s): July 31, 2006
- Published electronically: November 23, 2007
- Communicated by: Juha M. Heinonen
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 889-897
- MSC (2000): Primary 30F60, 30F45, 32H02, 32G05; Secondary 30C62
- DOI: https://doi.org/10.1090/S0002-9939-07-09146-0
- MathSciNet review: 2361861