| Title:
|
A non-ergodic version of Rudolph's theorem (English) |
| Author:
|
Krutina, Miroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
26 |
| Issue:
|
5 |
| Year:
|
1990 |
| Pages:
|
373-391 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D10 |
| MSC:
|
28D20 |
| idZBL:
|
Zbl 0719.28009 |
| idMR:
|
MR1079676 |
| . |
| Date available:
|
2009-09-24T18:20:41Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124598 |
| . |
| Reference:
|
[1] W. Ambrose: Representation of ergodic flows.Ann. of Math. 42 (1941), 723 - 739. Zbl 0025.26901, MR 0004730 |
| Reference:
|
[2] W. Ambrose, S. Kakutani: Structure and continuity of measurable flows.Duke Math. J. 9(1942), 25-42. Zbl 0063.00065, MR 0005800 |
| Reference:
|
[3] M. Denker, Ch. Grillenberger, K. Sigmund: Ergodic Theory on Compact Spaces.(Lecture Notes in Mathematics 527.) Springer-Verlag, Berlin-Heidelberg -New York 1976. Zbl 0328.28008, MR 0457675 |
| Reference:
|
[4] Y. Katznelson, B. Weiss: Commuting measure-preserving transformations.Israel J. Math. 72(1972), 161-173. Zbl 0239.28014, MR 0316680 |
| Reference:
|
[5] U. Krengel: Darstellungssätze für Strömungen und Halbströmungen I.Math. Ann. 776 (1968), 181-190. Zbl 0167.32704, MR 0224773 |
| Reference:
|
[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. Zbl 0318.94024, MR 0348078 |
| Reference:
|
[7] U. Krengel: On Rudolph's representation of aperiodic flows.Ann. Inst. H. Poincaré Prob. Statist. 72fi(1976), 319-338. Zbl 0356.28005, MR 0435354 |
| Reference:
|
[8] M. Krutina: Asymptotic rate of a flow.Comment. Math. Univ. Carolin. 30 (1989), 23 - 31. Zbl 0674.28009, MR 0995698 |
| Reference:
|
[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. Zbl 0699.28008, MR 1045900 |
| Reference:
|
[10] D. Rudolph: A two-valued step coding for ergodic flows.Math. Zeitschrift 150 (1976), 201-220. Zbl 0325.28019, MR 0414825 |
| Reference:
|
[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. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[12] K. Winkelbauer: On the existence of finite generators for invertible measure-preserving transformations.Comment. Math. Univ. Carolin. 75(1977), 782-812. Zbl 0368.28020, MR 0463403 |
| . |
