Skip to main content
Log in

An explicite description of harmonic measure

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Anderson, M.T., Schoen, R.: Postive harmonic functions on complete manifolds of negative curvature. Ann. Math.121, 429–461 (1985)

    Article  MathSciNet  Google Scholar 

  2. Chavel, J.: Eigenvalues in Riemannian geometry. New York London: Academic Press 1984

    MATH  Google Scholar 

  3. Cheng, S.-Y., Yau, S.-T.: Differential equations on Riemannian manifolds and their geometric applications. Commun. Pure Appl. Math.28, 333–354 (1975)

    MATH  MathSciNet  Google Scholar 

  4. Federer, H.: Geometric measure theory. (Springer Grundlehren, vol. 153) Berlin Heidelberg New York: Springer 1969

    MATH  Google Scholar 

  5. Hamenstädt, U.: A new description of the Bowen-Margulis measure. Ergodic Theory Dyn. Syst.9, (1989)

  6. Heintze, E., Im Hof, H.C.: Geometry of horospheres. J. Differ. Geom.12, 481–491 (1977)

    MATH  MathSciNet  Google Scholar 

  7. Ledrappier, F.: Ergodic properties of Brownian motion on covers of compact negatively curved manifolds. Bol. Soc. Bras. Mat. (to appear)

  8. Ledrappier, F.: Harmonic measures and Bowen-Margulis measures (preprint 1988)

  9. Margulis, G.A.: Certain measures associated withU-flows on compact manifolds. Funct. Anal. Appl.4, 55–67 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  10. Mane, R.: Ergodic theory and differentiable dynamics. Berlin Heidelberg New York: Springer 1987

    MATH  Google Scholar 

  11. Rudin, W.: Functional analysis. New York: McGraw Hill 1974

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hamenstädt, U. An explicite description of harmonic measure. Math Z 205, 287–299 (1990). https://doi.org/10.1007/BF02571241

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571241

Keywords

Navigation