Discrete conformal groups and measurable dynamics
Author:
Dennis Sullivan
Journal:
Bull. Amer. Math. Soc. 6 (1982), 5773
MSC (1980):
Primary 32H20, 58F11, 58F17; Secondary 58F18, 10F05
DOI:
https://doi.org/10.1090/S027309791982149667
MathSciNet review:
634434
Fulltext PDF Free Access
References  Similar Articles  Additional Information

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[Aa] Jon Aaronson, Pointwise behaviour of infinite measure preserving transformations, Israel J. Math. Math. 32 (1979). MR 531602

[As] Jon Aaronson and Dennis Sullivan, Rational ergodicity of the geodesic flow on infinite volume hyperbolic manifolds (manuscript).

[B] Lipmann Bers, (i) Spaces of Kleinian groups, Several Complex Variables, I, (Maryland, 1970). MR 271333

Lipmann Bers, (ii) See also these proceedings.

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[C et al] Alain Connes, Jack Feldman and Benjamin Weiss, Amenable equivalence relations are hyperfinite, Inst. Hautes Études Sci. Publ. Math. preprint, 1980.

[G] Lucy Garnett, Functions and measures harmonic along the leaves of a foliation, Ph.D. Thesis, Dartmouth College, 1981; Inst. Hautes Études Sci. Publ. Math. preprint, June 1980.

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[S] Dennis Sullivan, (i) Disjoint spheres, approximation by imaginary quadratic numbers and the logarithm law for geodesics, Acta Math. (to appear). MR 688349

Dennis Sullivan, (ii) On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Ann. of Math. Studies, No. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 465496. MR 624833

Dennis Sullivan, (iii) The density at infinity of a discrete group of hyperbolic motions, Inst. Hautes Études Sci. Publ. Math. 50 (1979). MR 556586

Dennis Sullivan, (iv) Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Math. (to appear). MR 766265

Dennis Sullivan, (v) Growth of positive harmonic functions and Kleinian group limit sets of planar measure zero and Hausdorff dimension two, N. Kuiper 60th Birthday Volume (Holland), SpringerVerlag, 1981. MR 655423

Dennis Sullivan, (vi) On the finiteness of cusps, Acta Math. (to appear).

Dennis Sullivan, (vii) The exponential size of a Riemannian manifold relative to heat flow, Acta Math. (submitted).

[Sc] Klaus Schmidt, Cocycles of ergodic group actions, Warwick Notes, 1976.

[T] Bill Thurston, (i) Geometry and topology of threemanifolds, preprint, Princeton Univ., 1978; to be published by Princeton Univ. Press, 1982.

Bill Thurston, (ii) Hyperbolic structures on 3manifolds, I. Deformation of acylindrical manifolds, Ann. of Math. (to appear).

[Tu] Pekka Tukia, Rigidity of Kleinian groups and dimensionality of the limit set, preprint, Univ. of Helsinki, 1981.
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Additional Information
DOI:
https://doi.org/10.1090/S027309791982149667