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A Larger Class of Ornstein Transformations with Mixing Property

  Published:2000-06-01
 Printed: Jun 2000
Canadian Mathematical Bulletin
  • El Houcein El Abdalaoui
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Abstract

We prove that Ornstein transformations are almost surely totally ergodic provided only that the cutting parameter is not bounded. We thus obtain a larger class of Ornstein transformations with the mixing property.
MSC Classifications: 28D05, 47A35 show english descriptions Measure-preserving transformations
Ergodic theory [See also 28Dxx, 37Axx] 28D05 - Measure-preserving transformations
47A35 - Ergodic theory [See also 28Dxx, 37Axx]
 
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