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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Discrete conformal groups and measurable dynamics
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by Dennis Sullivan PDF
Bull. Amer. Math. Soc. 6 (1982), 57-73
References
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  • [As] Jon Aaronson and Dennis Sullivan, Rational ergodicity of the geodesic flow on infinite volume hyperbolic manifolds (manuscript).
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  • Dennis Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978) Ann. of Math. Stud., vol. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 465–496. MR 624833
  • Dennis Sullivan, The density at infinity of a discrete group of hyperbolic motions, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 171–202. MR 556586, DOI 10.1007/BF02684773
  • Dennis Sullivan, Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Math. 153 (1984), no. 3-4, 259–277. MR 766265, DOI 10.1007/BF02392379
  • Dennis Sullivan, Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two, Geometry Symposium, Utrecht 1980 (Utrecht, 1980) Lecture Notes in Math., vol. 894, Springer, Berlin-New York, 1981, pp. 127–144. 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 three-manifolds, preprint, Princeton Univ., 1978; to be published by Princeton Univ. Press, 1982. Bill Thurston, (ii) Hyperbolic structures on 3-manifolds, 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
  • Journal: Bull. Amer. Math. Soc. 6 (1982), 57-73
  • MSC (1980): Primary 32H20, 58F11, 58F17; Secondary 58F18, 10F05
  • DOI: https://doi.org/10.1090/S0273-0979-1982-14966-7
  • MathSciNet review: 634434