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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Itai Benjamini
Affiliation: Microsoft Research – and – Department of Mathematics, The Weizmann Institute, Rehovot 76100, Israel

Yury Makarychev
Affiliation: Microsoft Research New England, One Memorial Drive, Cambridge, Massachusetts 02142

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.