On the countable generator theorem
Keane, Michael ; Serafin, Jacek
Fundamenta Mathematicae, Tome 158 (1998), p. 255-259 / Harvested from The Polish Digital Mathematics Library
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Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:212290 
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     pages = {255-259},
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Keane, Michael; Serafin, Jacek. On the countable generator theorem. Fundamenta Mathematicae, Tome 158 (1998) pp. 255-259. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv157i2p255bwm/

[00000] [Bill] Billingsley, P., Ergodic Theory and Information, Wiley, 1965. | Zbl 0141.16702

[00001] [Pa] Parry, W., Generators and strong generators in ergodic theory, Bull. Amer. Math. Soc. 72 (1966), 294-296. | Zbl 0144.29802

[00002] [Ro] Rokhlin, V., Generators in ergodic theory, II, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1965, 68-72 (in Russian).

[00003] [Se] Serafin, J., Finitary codes and isomorphisms, Ph.D. Thesis, Technische Universiteit Delft, 1996. | Zbl 1042.94533

[00004] [Wa] Walters, P., An Introduction to Ergodic Theory, Springer, 1982.