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    Flaminio, L. and Spatzier, R. J. 1990. Geometrically finite groups, Patterson-Sullivan measures and Ratner's ridigity theorem. Inventiones Mathematicae, Vol. 99, Issue. 1, p. 601.


Ergodic behaviour of Sullivan's geometric measure on a geometrically finite hyperbolic manifold

  • Daniel J. Rudolph (a1)
  • DOI:
  • Published online: 01 September 2008

Sullivan's geometric measure on a geometrically finite hyperbolic manifold is shown to satisfy a mean ergodic theorem on horospheres and through this that the geodesic flow is Bernoulli.

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[1]D. S. Ornstein & B. Weiss . Geodesic flows are Bernoullian. Isr. J. of Math. 14 (1973), 184198.

[2]P. Shields . Almost block independence. Z. Warsch. verw. Gebiete 49 (1979), 119123.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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