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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Dimension reduction for hyperbolic space


Authors: Itai Benjamini and Yury Makarychev
Journal: Proc. Amer. Math. Soc. 137 (2009), 695-698
MSC (2000): Primary 51M09, 68W40
Published electronically: September 12, 2008
MathSciNet review: 2448592
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Abstract: A dimension reduction for hyperbolic space is established. When points are far apart, an embedding with bounded distortion into $ H^2$ is achieved.


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Additional Information

Itai Benjamini
Affiliation: Microsoft Research – and – Department of Mathematics, The Weizmann Institute, Rehovot 76100, Israel
Email: itai.benjamini@weizmann.ac.il

Yury Makarychev
Affiliation: Microsoft Research New England, One Memorial Drive, Cambridge, Massachusetts 02142
Email: yurym@microsoft.com

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09714-1
PII: S 0002-9939(08)09714-1
Received by editor(s): January 15, 2008
Published electronically: September 12, 2008
Communicated by: Mario Bonk
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.