| Title:
|
On the existence of finite generators for invertible measure-preserving transformations (English) |
| Author:
|
Winkelbauer, Karel |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
789-812 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A65 |
| MSC:
|
28D05 |
| MSC:
|
94A15 |
| idZBL:
|
Zbl 0368.28020 |
| idMR:
|
MR0463403 |
| . |
| Date available:
|
2008-06-05T20:56:50Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105822 |
| . |
| Reference:
|
[1] W. PARRY: Entropy and Generators in Ergodic Theory.Benjamin, 1969. Zbl 0175.34001, MR 0262464 |
| Reference:
|
[2] V. A. ROHLIN: Ob osnovnych ponjatijach teorii mery.Matem. sborn. 25 (67) (1949), 107-150. MR 0030584 |
| Reference:
|
[3] K. WINKELBAUER: Channels with finite past history.Trans. 2nd Prague Confer. on Inform. Theory etc., Prague 1960, 685-831. Zbl 0161.16904, MR 0129056 |
| Reference:
|
[4] K. WINKELBAUER: On discrete information sources.Transact. 3nd Prague Confer. on Inform. Theory etc., Prague 1964, 765-830. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[5] K. WINKELBAUER: On the asymptotic rate of non-ergodic information sources.Kybernetika 6 (1970), 127-148. Zbl 0245.94013, MR 0275979 |
| Reference:
|
[6] U. KRENGEL: Recent results on generators in ergodic theory.Transact. 6th Prague Confer. on Inform. Theory etc., Prague 1973, 465-482. Zbl 0318.94024, MR 0348078 |
| Reference:
|
[7] P. WALTERS: Ergodic Theory.Introductory Lectures. Lecture Notes in Math. Vol. 458 (1975). Zbl 0299.28012, MR 0480949 |
| Reference:
|
[8] K. R. PARTHASARATHY: A note on McMillan's theorem for rd countable alphabets.Transact. 3rd Prague Confer. on Inform. Theory etc., Prague 1964, 541-543. MR 0166006 |
| Reference:
|
[9] W. KRIEGER: On entropy and generators of measure preserving transformations.Trans. Amer. Math. Soc 149 (1970), 453-464. Zbl 0204.07904, MR 0259068 |
| Reference:
|
[10] V. A. ROHLIN: Lectures on the entropy theory of measure preserving transformations.(in Russian). Usp. matem. nauk 22 (1967), 1-52. MR 0217258 |
| . |
