References
Anderson, M.T., Schoen, R.: Postive harmonic functions on complete manifolds of negative curvature. Ann. Math.121, 429–461 (1985)
Chavel, J.: Eigenvalues in Riemannian geometry. New York London: Academic Press 1984
Cheng, S.-Y., Yau, S.-T.: Differential equations on Riemannian manifolds and their geometric applications. Commun. Pure Appl. Math.28, 333–354 (1975)
Federer, H.: Geometric measure theory. (Springer Grundlehren, vol. 153) Berlin Heidelberg New York: Springer 1969
Hamenstädt, U.: A new description of the Bowen-Margulis measure. Ergodic Theory Dyn. Syst.9, (1989)
Heintze, E., Im Hof, H.C.: Geometry of horospheres. J. Differ. Geom.12, 481–491 (1977)
Ledrappier, F.: Ergodic properties of Brownian motion on covers of compact negatively curved manifolds. Bol. Soc. Bras. Mat. (to appear)
Ledrappier, F.: Harmonic measures and Bowen-Margulis measures (preprint 1988)
Margulis, G.A.: Certain measures associated withU-flows on compact manifolds. Funct. Anal. Appl.4, 55–67 (1970)
Mane, R.: Ergodic theory and differentiable dynamics. Berlin Heidelberg New York: Springer 1987
Rudin, W.: Functional analysis. New York: McGraw Hill 1974
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02571241