By L. Sucheston

**Read Online or Download Contributions to Ergodic Theory and Probability: Proceedings of the First Midwestern Conference on Ergodic Theory held at the Ohio State University, March 27–30, 1970 PDF**

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**Additional resources for Contributions to Ergodic Theory and Probability: Proceedings of the First Midwestern Conference on Ergodic Theory held at the Ohio State University, March 27–30, 1970**

**Example text**

C ~ t i n ~ transformaticms and mixing, to appear, Proc. Amer. Math. Soc. , A class of er~odic automorphisms, Thesis, University of Toronto, 1969. [3] Chaccn, R. , A gecmetric ccnstructicn of measure preserving transformations, Fifth Berkeley Symposium on Probability and Statistics, (2) 2, pp. 335-360, (1967). [~] Chaccn, R. , Weakly mixing transformation s which are not s t r c ~ v mixing, to appear. [5] Chacon, R. , Approximation of transformations with continuous spectrum~ to s~pear. [6] Chacon, R.

For every 0 O. A A A is such that of density A + B 0 nk+i/n k > e > I has cannot holds of positive density so that the density of 39 We once considered sequences B A + B A which have the property contains all sufficiently large integers [2]. there is a subsequence Bk of B so that A + Bk P that for every We observed that then also contains all sufficiently large integers (k depends cn B). It is easy to see that the necessary and sufficient condition that not have property P is that there is an infinite sequence that for infinitely many n and for every (i) ~(n- (i) easily i~01ies that if A A does t I ~ t 2 K ...

5] Chacon, R. , Approximation of transformations with continuous spectrum~ to s~pear. [6] Chacon, R. , Spectral properties of measure preserving transfors~tio~s, to appear. [7] Chacon, R. V. , CcmmAtin~ point t ransfors~tions, to appear. [8] Halmos, P. , Lectures cn ergodic theory, Math. Soc. of Japan, (1936), Chelsea. [9] Katok, A. B. and Stepin, A. , A~roximation of ergodic dynamical systems b~ periodic transformations (R-,ssian), Dokl, Akad. Nauk SSSR, 171, pp. 1268-1271 (1966) (Soviet Math.