Keywords
- Hausdorff Dimension
- Kleinian Group
- Iterate Function System
- Linear Fractional Transformation
- Contraction Factor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
C. Adams, "Thrice-punctured spheres in hyperbolic 3-manifolds," Trans. Amer. Math. Soc. 287 (1985), 645–656
M. Barnsley, Fractals Everywhere, Academic Press, Boston, 1988
A. Beardon, "The Hausdorff dimension of singular sets of properly discontinuous groups," Amer. J. Math. 88 (1966), 722–736
A Beardon, The Geometry of Discrete Groups, Springer-Veralg, Berlin, 1983
R. Brooks, J. Matelski, "The dynamics of 2-generator subgroups of PSL(2,C)," Riemann Surfaces and Related Topics, 1. Kra and B. Maskit, eds, Princeton University Press, 1981
L. Ford, Automorphic Functions, McGraw-Hill, New York, 1929
B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982
W. Thurston, The Geometry and Topology of 3-Manifolds, Princeton University Mathematics Department, 1979
W. Thurston, "Three-dimensional manifolds, Kleinian groups and geometry," Bull. Amer. Math. Soc. 6 (1982), 357–381
M. Tsuji, "On the capacity of general Cantor sets," J. Math. Soc. Japan 5 (1953), 235–252
N. Wielenberg, "Hyperbolic 3-manifolds which share a fundamental polyhedron," in Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, Princeton University Press, 1981
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this chapter
Cite this chapter
Frame, M., Hefferon, J. (1990). Fractal dimensions of limit sets of some Kleinian groups. In: Latiolais, P. (eds) Topology and Combinatorial Group Theory. Lecture Notes in Mathematics, vol 1440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084452
Download citation
DOI: https://doi.org/10.1007/BFb0084452
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52990-3
Online ISBN: 978-3-540-46296-5
eBook Packages: Springer Book Archive
