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A Class of examples of D-sequences

Published online by Cambridge University Press:  19 September 2008

T. A. Bick  and
John Coffey
T. A. Bick
Affiliation:
Department of Mathematics, Union College, Schenectady, New York 12308-2311, USA
John Coffey
Affiliation:
Department of Mathematics, Computer Science and Statistics, Purdue University, Calumet, Hammond, Indiana 46323-2094, USA
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Abstract

We use a new method to construct a class of strongly uniformly distributed D-sequences. Such sequences are used to determine ergodic measure-preserving transformations.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 1 , March 1991 , pp. 1 - 6
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

[1]Bick, T. A.. On orbits in spaces of infinite measure. Duke Math. J. 34 (4) (1967) 717–724.CrossRefGoogle Scholar
[2]Coffey, J.. Uniformly distributed D-sequences. In: Measure and measurable dynamics. Contemp. Math. 94 (1989).CrossRefGoogle Scholar
[3]Kappos, D. A. & Papdopoulou, S.. Transformations determined by the orbit of a general point. Rev. Roum. Math. Pures et Appl. XII (9) (1967) 1297–1303.Google Scholar
[4]Maharam, D.. On orbits under ergodic measure-preserving transformations. Trans. Amer. Math. Soc. 119 (1965), 51–66.CrossRefGoogle Scholar
[5]Niven, I. & Zuckerman, H.. An Introduction to the Theory of Numbers. 3rd Ed., John Wiley and Sons: New York, 1972.Google Scholar
[6]Petersen, K. E.. Introductory ergodic theory. Lecture Notes, University of North Carolina, Chapel Hill, NC, 1971.Google Scholar