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Bounded earthquakes
Author(s):
Dragomir
Saric
Journal:
Proc. Amer. Math. Soc.
136
(2008),
889-897.
MSC (2000):
Primary 30F60, 30F45, 32H02, 32G05;
Secondary 30C62
Posted:
November 23, 2007
MathSciNet review:
2361861
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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.
References:
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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:
10.1090/S0002-9939-07-09146-0
PII:
S 0002-9939(07)09146-0
Keywords:
Earthquakes,
transverse bounded measures,
asymptotically trivial measures
Received by editor(s):
July 31, 2006
Posted:
November 23, 2007
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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