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A Larger Class of Ornstein Transformations with Mixing Property

Published online by Cambridge University Press:  20 November 2018

El Houcein El Abdalaoui
El Houcein El Abdalaoui*
Affiliation:
Department of Mathematics University of Rouen UPRES-A 6085, site Colbert Mont Saint Aignan 76821 France
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Abstract

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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.

Keywords

28D0547A35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 2 , 01 June 2000 , pp. 157 - 161
Copyright
Copyright © Canadian Mathematical Society 2000

References

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