Sullivan, Dennis The density at infinity of a discrete group of hyperbolic motions. (English) Zbl 0439.30034 Publ. Math., Inst. Hautes Étud. Sci. 50, 171-202 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 248 Documents MSC: 30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization) 28D05 Measure-preserving transformations Keywords:Kleinian group; hyperbolic space; conformal density; Hausdorff measure; limit set; geodesic flow; ergodic; Markov process × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML References: [1] Rufus Bowen, Hausdorff dimension of quasi circles,Publ. math. I.H.E.S.,50 (1979), pp. 11–26. · Zbl 0439.30032 [2] C. Series andR. Bowen, Markov partitions for Fuchsian groups,Publ. math. I.H.E.S.,50 (1979), pp. 153–170. · Zbl 0439.30033 [3] H. Federer,Geometric Measure Theory, Springer (1969), ”Grundlehren... Series”, Band 153. · Zbl 0176.00801 [4] S. J. Patterson, The limit set of a Fuchsian group,Acta. Math.,136 (1976), pp. 241–273. · Zbl 0336.30005 · doi:10.1007/BF02392046 [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. [6] B. Mandelbrot,Fractals, Form, Chance and Dimension, W. H. Freeman & Co., San Francisco, 1977. [7] A. F. Beardon, The Hausdorff dimension of singular sets of properly discontinuous groups,Amer. J. Math.,88 (1966), pp. 722–736. · Zbl 0145.28203 · doi:10.2307/2373151 [8] E. Hopf, Ergodic Theory and the geodesic flow on surfaces of constant negative curvature,Bull. AMS,77 (1971), pp. 863–877. · Zbl 0227.53003 · doi:10.1090/S0002-9904-1971-12799-4 [9] W. Thurston,Geometry and Topology of 3-manifolds, Notes from Princeton University, 1978. · Zbl 0399.73039 [10] J. Garnett, Analytic Capacity and Measure,Springer Lecture Note Series, vol. 297. · Zbl 0253.30014 [11] A. F. Beardon, B. Maskit, Limit points of Kleinian groups and finite sided fundamental polyhedra,Acta Math.,132 (1974), pp. 1–12. · Zbl 0277.30017 · doi:10.1007/BF02392106 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.