Bounded earthquakes

Author:
Dragomir Saric

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

Published electronically:
November 23, 2007

MathSciNet review:
2361861

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Dragomir Saric**

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

DOI:
https://doi.org/10.1090/S0002-9939-07-09146-0

Keywords:
Earthquakes,
transverse bounded measures,
asymptotically trivial measures

Received by editor(s):
July 31, 2006

Published electronically:
November 23, 2007

Communicated by:
Juha M. Heinonen

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.