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ArticleOriginal scientific text

Title

On the countable generator theorem

Authors 1, 2

Affiliations

  1. Centre for Mathematics, and Computer Science (CWI), Post Office Box 94079, 1090 GB Amsterdam, The Netherlands
  2. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

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.

Bibliography

  1. [Bill] Billingsley, P., Ergodic Theory and Information, Wiley, 1965.
  2. [Pa] Parry, W., Generators and strong generators in ergodic theory, Bull. Amer. Math. Soc. 72 (1966), 294-296.
  3. [Ro] Rokhlin, V., Generators in ergodic theory, II, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1965, 68-72 (in Russian).
  4. [Se] Serafin, J., Finitary codes and isomorphisms, Ph.D. Thesis, Technische Universiteit Delft, 1996.
  5. [Wa] Walters, P., An Introduction to Ergodic Theory, Springer, 1982.
Fundamenta Mathematicae
1998/157/2-3
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Pages:
255-259
Main language of publication
English
Received
1997-09-30
Accepted
1997-12-10
Published
1998
Exact and natural sciences