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A new description of the Bowen—Margulis measure

Published online by Cambridge University Press:  19 September 2008

Ursula Hamenstädt
Ursula Hamenstädt
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, USA
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Abstract

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The Bowen-Margulis measure on the unit tangent bundle of the universal covering of a compact manifold of negative curvature is determined by its restriction to the leaves of the strong unstable foliation. We describe this restriction to any strong unstable manifold W as a spherical measure with respect to a natural distance on W.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 3 , September 1989 , pp. 455 - 464
Copyright
Copyright © Cambridge University Press 1989

References

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