Skip to main content
SpringerLink
Log in

Rigid reparametrizations and cohomology for horocycle flows

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Feldman, J., Ornstein, D.: Semirigidity of horocycle flows over compact surfaces of variable negative curvature. Ergodic Theory Dyn. Syst. 1987 (to appear)

  2. Furstenberg, H.: Disjointness in ergodic theory, minimal sets and a problem in diophantine approximation. Math. Syst. Theory1, 1–49 (1967)

    Google Scholar 

  3. Kolmogorov, A.N.: On dynamical systems with integral invariant on the torus. Doklady Akad. Nauk. SSSR93, 763–766 (1953) [Russian]

    Google Scholar 

  4. Marcus, B.: Ergodic properties of horocycle flows for surfaces of negative curvature. Ann. Math.105, 81–105 (1977)

    Google Scholar 

  5. Moore, C.: Exponential decay of correlation coefficients for geodesic flow. In: Moore, C.C. (ed.) Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics. Berlin, Heidelberg, New York: Springer 1987

    Google Scholar 

  6. Parry, W.: Metric classification of ergodic nilflows and unipotent affines. Am. J. Math.93, 819–828 (1971)

    Google Scholar 

  7. Parry, W.: Dynamical representations in nilmanifolds. Compos. Math.26, 159–174 (1973)

    Google Scholar 

  8. Ratner, M.: Rigidity of horocycle flows. Ann. Math.115, 587–614 (1982)

    Google Scholar 

  9. Ratner, M.: Factors of horocycle flows. Ergodic Theory Dyn. Syst.2, 465–489 (1982)

    Google Scholar 

  10. Ratner, M.: Horocycle flows, joinings and rigidity of products. Ann. Math.118, 277–313 (1983)

    Google Scholar 

  11. Ratner, M.: Rigidity of time changes for horocycle flows. Acta Math.156, 1–32 (1986)

    Google Scholar 

  12. Ratner, M.: The rate of mixing for geodesic and horocycle flows. Ergodic Theory Dyn. Syst. 1987 (to appear)

  13. Rudolph, D.: An example of a measure preserving map with minimal self-joinings, and applications. J. Anal. Math.35, (1979)

  14. Witte, D.: Rigidity of some translations on homogeneous spaces. Invent. Math.81, 1–27 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Marina Ratner

Authors
  1. Marina Ratner
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by National Science Foundation grant DMS-84-20770 and the Miller Institute for Basic Research, Univ. of Calif., Berkeley

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ratner, M. Rigid reparametrizations and cohomology for horocycle flows. Invent Math 88, 341–374 (1987). https://doi.org/10.1007/BF01388912

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388912

Search

Navigation