The density at infinity of a discrete group of hyperbolic motions
Publications Mathématiques de l'IHÉS (1979)
- Volume: 50, page 171-202
- ISSN: 0073-8301
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topSullivan, Dennis. "The density at infinity of a discrete group of hyperbolic motions." Publications Mathématiques de l'IHÉS 50 (1979): 171-202. <http://eudml.org/doc/103962>.
@article{Sullivan1979,
author = {Sullivan, Dennis},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {Kleinian group; hyperbolic space; conformal density; Hausdorff measure; limit set; geodesic flow; ergodic; Markov process},
language = {eng},
pages = {171-202},
publisher = {Institut des Hautes Études Scientifiques},
title = {The density at infinity of a discrete group of hyperbolic motions},
url = {http://eudml.org/doc/103962},
volume = {50},
year = {1979},
}
TY - JOUR
AU - Sullivan, Dennis
TI - The density at infinity of a discrete group of hyperbolic motions
JO - Publications Mathématiques de l'IHÉS
PY - 1979
PB - Institut des Hautes Études Scientifiques
VL - 50
SP - 171
EP - 202
LA - eng
KW - Kleinian group; hyperbolic space; conformal density; Hausdorff measure; limit set; geodesic flow; ergodic; Markov process
UR - http://eudml.org/doc/103962
ER -
References
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- [2] C. SERIES and R. BOWEN, Markov partitions for Fuchsian groups, Publ. math. I.H.E.S., 50 (1979), pp. 153-170. Zbl0439.30033MR81b:58026
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- [4] S. J. PATTERSON, The limit set of a Fuchsian group, Acta. Math., 136 (1976), pp. 241-273. Zbl0336.30005MR56 #8841
- [5] D. SULLIVAN, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Proceedings of the Stony Brook Conference on Kleinian groups and Riemann Surfaces, June 1978. Zbl0567.58015
- [6] B. MANDELBROT, Fractals, Form, Chance and Dimension, W. H. Freeman & Co., San Francisco, 1977. Zbl0376.28020MR57 #11224
- [7] A. F. BEARDON, The Hausdorff dimension of singular sets of properly discontinuous groups, Amer. J. Math., 88 (1966), pp. 722-736. Zbl0145.28203MR33 #7532
- [8] E. HOPF, Ergodic Theory and the geodesic flow on surfaces of constant negative curvature, Bull. AMS, 77 (1971), pp. 863-877. Zbl0227.53003MR44 #1789
- [9] W. THURSTON, Geometry and Topology of 3-manifolds, Notes from Princeton University, 1978.
- [10] J. GARNETT, Analytic Capacity and Measure, Springer Lecture Note Series, vol. 297. Zbl0253.30014MR56 #12257
- [11] A. F. BEARDON, B. MASKIT, Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math., 132 (1974), pp. 1-12. Zbl0277.30017MR48 #11489
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