| Title:
|
A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. I. General considerations (English) |
| Author:
|
Šujan, Štefan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
18 |
| Issue:
|
5 |
| Year:
|
1982 |
| Pages:
|
361-375 |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A15 |
| MSC:
|
94A29 |
| MSC:
|
94B99 |
| idZBL:
|
Zbl 0504.94021 |
| idMR:
|
MR686518 |
| . |
| Date available:
|
2009-09-24T17:29:36Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125868 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124853 |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124795 |
| . |
| Reference:
|
[1] P. Billingsley: Ergodic Theory and Information.Wiley, New York 1965. Zbl 0141.16702, MR 0192027 |
| Reference:
|
[2] R. Bowen: Equilibrium States and the ErgodicTheory of Anosov Diffeomorphisms.(Lecture Notes in Mathematics 470.) Springer - Verlag, Berlin-Heidelberg-New York 1975. |
| Reference:
|
[3] M. Denker: Finite generators for ergodic, measure-preserving transformations.Z. Wahrsch. verw. Gebiete 29 (1974), 45-55. MR 0382587 |
| Reference:
|
[4] M. Denker, Ch. Grillenberger, and K. Sigmund: Ergodic Theory on Compact Spaces.(Lecture Notes in Mathematics 527.) Springer - Verlag, Berlin -Heidelberg-New York 1976. MR 0457675 |
| Reference:
|
[5] M. Denker, M. Keane: Almost topological dynamical systems.Israel J. Math. 34 (1979), 139-160. Zbl 0441.28008, MR 0571401 |
| Reference:
|
[6] P. R. Halmos: Measure Theory.D. Van Nostrand, Princeton, N. J. 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[7] M. Keane, M. Smorodinsky: Bernoulli schemes of the same entropy are finitarily isomorphic.Ann. of Math. 109 (1979), 387-406. Zbl 0405.28017, MR 0528969 |
| Reference:
|
[8] J. C. Kieffer: Zero-error stationary coding over stationary channels.Z. Wahrsch. verw. Gebiete 56 (1981), 113-126. Zbl 0444.94007, MR 0612163 |
| Reference:
|
[9] J. C. Kieffer, M. Rahe: Selecting universal partitions in ergodic theory.Ann. Probab. 9 (1981), 705-709. Zbl 0464.60036, MR 0624699 |
| Reference:
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[10] W. Krieger: On entropy and generators of measure-preservirg transformations.Trans. Amer. Math. Soc. 149 (1970), 453-464, Erratum, ibid. 168 (1972), 519. MR 0259068 |
| Reference:
|
[11] D. S. Ornstein: Bernoulli shifts with the same entropy are isomorphic.Adv. in Math. 4 (1970), 337-352. Zbl 0197.33502, MR 0257322 |
| Reference:
|
[12] D. S. Ornstein: Ergodic Theory, Randomness, and Dynamical Systems.Yale Univ. Press, New Haven and London 1974. Zbl 0296.28016, MR 0447525 |
| Reference:
|
[13] J. C. Oxtoby: Ergodic sets.Bull. Amer. Math. Soc. 55 (1952), 116-136. Zbl 0046.11504, MR 0047262 |
| Reference:
|
[14] W. Parry: Entropy and Generators in Ergodic Theory.W. A. Benjamin, New York -Amsterdam 1969. Zbl 0175.34001, MR 0262464 |
| Reference:
|
[15] V. A. Rohlin: On the basic concepts of measure theory.(in Russian). Matem. Sborn. 25 (67) (1949), 107-150. |
| Reference:
|
[16] P. C. Shields: Stationary coding of processes.IEEE Trans. Inform. Theory IT-25 (1979), 293-291. Zbl 0401.94018, MR 0528006 |
| Reference:
|
[17] M. Smorodinsky: Ergodic Theory, Entropy.(Lecture Notes in Mathematics 214.) Springer -Verlag, Berlin-Heidelberg-New York 1971. Zbl 0213.07502, MR 0422582 |
| Reference:
|
[18] K. Winkelbauer: On the asymptotic rate of non-ergodic information sources.Kybernetika 6 (1970), 127-148. Zbl 0245.94013, MR 0275979 |
| Reference:
|
[19] K. Winkelbauer: On the existence of finite generators for invertible measure-preserving transformations.Comment. Math. Univ. Carolinae 18 (1977), 789-812. Zbl 0368.28020, MR 0463403 |
| . |
