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Genericity of the -property for a class of transformations
Author(s):
Zbigniew
S.
Kowalski;
Pierre
Liardet
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2981-2988.
MSC (2000):
Primary 28D05;
Secondary 11K99
Posted:
April 28, 2000
MathSciNet review:
1707154
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Abstract:
We exhibit a class of skew products over Bernoulli shifts for which the -property is generic.
References:
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- L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences (J. Wiley, New York, ed.), 1974. MR 54:7415
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- B. Kaminski, Z. S. Kowalski and P. Liardet, On extremal and perfect
-algebras for -actions on a Lebesgue space, Studia Math. 124 (2) (1997), 173-178. MR 98h:28011 - [Ko1]
- Z. S. Kowalski, Stationary perturbations based on Bernoulli process, Studia Math. 97 (1) (1990), 53-57. MR 92b:28021
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- Z. S. Kowalski, On mixing generalized skew products, in Ergodic theory and related topic III, Lecture Notes in Math., No 1514 (Springer-Verlag, Berlin, ed.), 1992, pp. 128-130. CMP 92:17
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Additional Information:
Zbigniew
S.
Kowalski
Affiliation:
Institute of Mathematics, Wroclaw University of Technology, Wybrzeze St. Wyspianskiego 27, 50--370 Wroclaw, Poland
Email:
kowalski@im.pwr.wroc.pl
Pierre
Liardet
Affiliation:
Université de Provence, CMI, 39 rue Joliot-Curie, F-13453 Marseille cedex 13, France
Email:
liardet@gyptis.univ-mrs.fr
DOI:
10.1090/S0002-9939-00-05602-1
PII:
S 0002-9939(00)05602-1
Received by editor(s):
December 1, 1998
Posted:
April 28, 2000
Additional Notes:
The first author was supported by KBN Grant 2 P03A 039 15 1998-2001. The second author was supported by MESRI
Communicated by:
Michael Handel
Copyright of article:
Copyright
2000,
American Mathematical Society
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