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Ergodic behaviour of Sullivan's geometric measure on a geometrically finite hyperbolic manifold

Published online by Cambridge University Press:  19 September 2008

Daniel J. Rudolph
Daniel J. Rudolph
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA
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Abstract

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Sullivan's geometric measure on a geometrically finite hyperbolic manifold is shown to satisfy a mean ergodic theorem on horospheres and through this that the geodesic flow is Bernoulli.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 491 - 512
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

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