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k-fold mixing lifts to weakly mixing isometric extensions

Published online by Cambridge University Press:  19 September 2008

Daniel J. Rudolph
Daniel J. Rudolph
Affiliation:
Department of Mathematics, University of Maryland, College Park, Md. 20742, USA
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Abstract

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If is a weakly mixing isometric extension of a finite measure preserving, k-fold mixing map T, then must also be k-fold mixing.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 3 , September 1985, pp. 445 - 447
Copyright
Copyright © Cambridge University Press 1985

References

REFERENCES

[1]Parry, W.. Ergodic properties of affine transformations and flows on nilmanifolds. Amer. J. of Math. 91 (1969), 757–771.CrossRefGoogle Scholar
[2]Rudolph, D.. Classifying the isometric extensions of a Bernoulli shift. J. d'Analyse Math. 34 (1978), 36–60.CrossRefGoogle Scholar