Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-14T17:01:43.836Z Has data issue: false hasContentIssue false
  • English
  • Français

Factors of horocycle flows

Published online by Cambridge University Press:  19 September 2008

Marina Ratner
Marina Ratner
Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley, Calif. 94720, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We classify up to an isomorphism all factors of the classical horocycle flow on the unit tangent bundle of a surface of constant negative curvature with finite volume.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982, pp. 465 - 489
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

[1]Marcus, B.. The horocycle flow is mixing of all degrees. Inventories Math. 46 (1978), 201–209.CrossRefGoogle Scholar
[2]Ornstein, D. & Weiss, B.. Geodesic flows are Bernoullian. Israel J. Math. 14 (1973), 184–197.CrossRefGoogle Scholar
[3]Ratner, M.. Horocycle flows are loosely Bernoulli. Israel J. Math. 31 (1978), 122–131.CrossRefGoogle Scholar
[4]Ratner, M.. Rigidity of horocycle flows. Ann. Math. 115 (1982), 597–614.CrossRefGoogle Scholar
[5]Rohlin, V. A.. On basic concepts of measure theory. Mat. Sbornik 67 (1949), 107–150. (In Russian.)Google Scholar
[6]Wang, H. C.. On a maximality property of discrete subgroups with fundamental domain of finite measure. Amer. I. Math. 89 (1967), 124–132.CrossRefGoogle Scholar