Skip to main content
Log in

Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups

  • Published:
Acta Mathematica

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. Bowen, R., Hausdorff dimension of quasi-circles.Publ. Math. I.H.E.S., 50 (1979), 11–26.

    MATH  MathSciNet  Google Scholar 

  2. Beardon, A. F., The Hausdorff dimension of singular sets of properly discontinuous groups.Amer. J. Math., 88 (1966), 722–736.

    MATH  MathSciNet  Google Scholar 

  3. Brin, M. & Katok, A., On local entropy.Geometric Dynamics, Proceedings in Rio de Janeiro 1981. Lecture Notes in Mathematics, 1007, pp. 30–38.

  4. Federer, H.,Geometric measure theory. Springer Grundlehren, Series Band 153.

  5. Patterson, S. J., The limit set of a Fuchsian group.Acta Math., 136 (1976), 241–273.

    MATH  MathSciNet  Google Scholar 

  6. Rogers, C. A.,Hausdorff measures. Cambridge University Press 1970, chapter 1.

  7. Sullivan, D., Disjoint spheres, diophantine approximation, and the logarithm law for geodesics.Acta Math., 149 (1983), 215–237.

    MathSciNet  Google Scholar 

  8. —, The density at infinity of a discrete group of hyperbolic isometries.Publ. Math. I.H.E.S., 50 (1979), 171–209.

    MATH  MathSciNet  Google Scholar 

  9. Thurston, B.,Geometry and topology of 3-manifolds. Notes from Princeton University, 1978.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sullivan, D. Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Acta Math. 153, 259–277 (1984). https://doi.org/10.1007/BF02392379

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392379

Keywords

Navigation