The density at infinity of a discrete group of hyperbolic motions

Dennis Sullivan

Publications Mathématiques de l'IHÉS (1979)

  • Volume: 50, page 171-202
  • ISSN: 0073-8301

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Sullivan, 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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  1. [1] Rufus BOWEN, Hausdorff dimension of quasi circles, Publ. math. I.H.E.S., 50 (1979), pp. 11-26. Zbl0439.30032
  2. [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
  3. [3] H. FEDERER, Geometric Measure Theory, Springer (1969), “Grundlehren... Series”, Band 153. Zbl0176.00801MR41 #1976
  4. [4] S. J. PATTERSON, The limit set of a Fuchsian group, Acta. Math., 136 (1976), pp. 241-273. Zbl0336.30005MR56 #8841
  5. [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. [6] B. MANDELBROT, Fractals, Form, Chance and Dimension, W. H. Freeman & Co., San Francisco, 1977. Zbl0376.28020MR57 #11224
  7. [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. [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. [9] W. THURSTON, Geometry and Topology of 3-manifolds, Notes from Princeton University, 1978. 
  10. [10] J. GARNETT, Analytic Capacity and Measure, Springer Lecture Note Series, vol. 297. Zbl0253.30014MR56 #12257
  11. [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

Citations in EuDML Documents

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  1. Paul Albuquerque, Support des mesures de Patterson-Sullivan en rang supérieur
  2. Mark Pollicott, Richard Sharp, Linear actions of free groups
  3. Nathanaël Enriquez, Jacques Franchi, Yves Le Jan, Canonical lift and exit law of the fundamental diffusion associated with a kleinian group
  4. Gabriele Link, Measures on the geometric limit set in higher rank symmetric spaces
  5. Thomas Roblin, Comportement harmonique des densités conformes et frontière de Martin
  6. Stefano Francaviglia, Constructing equivariant maps for representations
  7. Dennis Sullivan, Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension 3 fibrées sur S 1
  8. Maciej Zworski, Distribution of resonances for convex co-compact hyperbolic surfaces
  9. Laurent Guillopé, Sur le spectre des longueurs des surfaces de Riemann
  10. Thomas Roblin, Sur la fonction orbitale des groupes discrets en courbure négative

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