A non-ergodic version of Rudolph's theorem

Miroslav Krutina

Kybernetika (1990)

  • Volume: 26, Issue: 5, page 373-391
  • ISSN: 0023-5954

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Krutina, Miroslav. "A non-ergodic version of Rudolph's theorem." Kybernetika 26.5 (1990): 373-391. <http://eudml.org/doc/27753>.

@article{Krutina1990,
author = {Krutina, Miroslav},
journal = {Kybernetika},
keywords = {Ambrose-Kakutani representation; Rudolph's theorem; representation of an ergodic flow; uniformly bounded fiber entropies},
language = {eng},
number = {5},
pages = {373-391},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A non-ergodic version of Rudolph's theorem},
url = {http://eudml.org/doc/27753},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Krutina, Miroslav
TI - A non-ergodic version of Rudolph's theorem
JO - Kybernetika
PY - 1990
PB - Institute of Information Theory and Automation AS CR
VL - 26
IS - 5
SP - 373
EP - 391
LA - eng
KW - Ambrose-Kakutani representation; Rudolph's theorem; representation of an ergodic flow; uniformly bounded fiber entropies
UR - http://eudml.org/doc/27753
ER -

References

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  1. W. Ambrose, Representation of ergodic flows, Ann. of Math. 42 (1941), 723 - 739. (1941) Zbl0025.26901MR0004730
  2. W. Ambrose, S. Kakutani, Structure and continuity of measurable flows, Duke Math. J. 9(1942), 25-42. (1942) Zbl0063.00065MR0005800
  3. M. Denker, Ch. Grillenberger, K. Sigmund, Ergodic Theory on Compact Spaces, (Lecture Notes in Mathematics 527.) Springer-Verlag, Berlin-Heidelberg -New York 1976. (1976) Zbl0328.28008MR0457675
  4. Y. Katznelson, B. Weiss, Commuting measure-preserving transformations, Israel J. Math. 72(1972), 161-173. (1972) Zbl0239.28014MR0316680
  5. U. Krengel, Darstellungssätze für Strömungen und Halbströmungen I, Math. Ann. 776 (1968), 181-190. (1968) Zbl0167.32704MR0224773
  6. U. Krengel, Recent results on generators in ergodic theory, In: Trans. Sixth Prague Conf. on Inform. Theory, Statist. Dec. Functions, Random Processes. Academia, Prague 1973, pp. 465-482. (1973) Zbl0318.94024MR0348078
  7. U. Krengel, On Rudolph's representation of aperiodic flows, Ann. Inst. H. Poincaré Prob. Statist. 72fi(1976), 319-338. (1976) Zbl0356.28005MR0435354
  8. M. Krutina, Asymptotic rate of a flow, Comment. Math. Univ. Carolin. 30 (1989), 23 - 31. (1989) Zbl0674.28009MR0995698
  9. M. Krutina, A note on the relation between asymptotic rates of a flow under a function and its basis-automorphism, Comment. Math. Univ. Carolin. 30 (1989), 721 - 726. (1989) Zbl0699.28008MR1045900
  10. D. Rudolph, A two-valued step coding for ergodic flows, Math. Zeitschrift 150 (1976), 201-220. (1976) Zbl0325.28019MR0414825
  11. K. Winkelbauer, On discrete information sources, In: Trans. Third Prague Conf. on Inform. Theory, Statist. Dec. Functions, Random Processes. Publ. House Czechosl. Acad. Sci, Prague 1964, pp. 765-830. (1964) Zbl0126.35702MR0166000
  12. K. Winkelbauer, On the existence of finite generators for invertible measure-preserving transformations, Comment. Math. Univ. Carolin. 75(1977), 782-812. (1977) Zbl0368.28020MR0463403

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