Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
L. Auslander, L. Green, and F. Hahn, Flows on Homogeneous Spaces. Annals of Mathematics Studies No. 53 (1963), Princeton.
H. Furstenberg, "Strict ergodicity and transformations of the torus", American Journal of Mathematics 83 (1961) 573–601
H. Furstenberg and I. Tzkoni, "Spherical functions and integral geometry", Israel Journal of Mathematics, 10 (1971) 327–338.
G. A. Hedlund, "On the metrical transitivity of the geodesics on closed surfaces of constant negative curvature", Annals of Mathematics 35 (1934) 787–808.
G. A. Hedlund, "A metrically transitive group defined by the modular group", Americal Journal of Mathematics, vol. 57 (1935) 668–678.
G. A. Hedlund, "Fuchsian groups and transitive horocycles", Duke Mathematical Journal 2 (1936) 530–542.
E. Hopf, Ergodentheorie, Ergebnisse der Mathematik und ihrer Grenzgebiete 5 (1937).
C. C. Moore, "Ergodicity of flows on homogeneous spaces", American Journal of Mathematics 88 (1965) 154–178.
A. Zygmund, Trigonometric Series, vol. I second edition, 1959, Cambridge.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Furstenberg, H. (1973). The unique ergodigity of the horocycle flow. In: Beck, A. (eds) Recent Advances in Topological Dynamics. Lecture Notes in Mathematics, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061726
Download citation
DOI: https://doi.org/10.1007/BFb0061726
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06187-8
Online ISBN: 978-3-540-38414-4
eBook Packages: Springer Book Archive