| Title:
|
A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications (English) |
| Author:
|
Šujan, Štefan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
18 |
| Issue:
|
6 |
| Year:
|
1982 |
| Pages:
|
465-484 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D20 |
| MSC:
|
94A29 |
| MSC:
|
94A40 |
| idZBL:
|
Zbl 0533.94001 |
| idMR:
|
MR707396 |
| . |
| Date available:
|
2009-09-24T17:30:36Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124853 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/125868 |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124795 |
| . |
| Reference:
|
[1] Š. Šujan: A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources.Kybernetika 18 (1982), 5, 361 - 375. MR 0686518 |
| Reference:
|
[20] R. L. Adler, B. Marcus: Topological entropy and equivalence of dynamical systems.Mem. Amer. Math. Soc. 219 (1979). Zbl 0412.54050, MR 0533691 |
| Reference:
|
[21] R. M. Gray: Sliding block source coding.IEEE Trans. Inform. Theory IT-2I (1975), 357-368. Zbl 0308.94015, MR 0376230 |
| Reference:
|
[22] R. M. Gray D. S. Ornstein, and R. L. Dobrushin: Block synchronization, sliding-block coding, invulnerable sources, and zero-error codes for discrete noisy channels.Ann. Probab. 8 (1980), 639-674. MR 0577308 |
| Reference:
|
[23] M. Keane, M. Smorodinsky: The finitary isomorphism theorem for Markov shifts.Bull. Amer. Math. Soc. (New Series) 1 (1979), 346-438. Zbl 0407.28010, MR 0520082 |
| Reference:
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[24] J. C. Kieffer: On the transmission of Bernoulli sources over stationary channels.Ann. Probab. 8 (1980), 942-961. Zbl 0452.94012, MR 0586778 |
| Reference:
|
[25] J. C. Kieffer: Block coding for a stationary channel satisfying a weak continuity condition.(to appear). |
| Reference:
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[26] J. C. Kieffer: Sliding-block coding for weakly continuous channels.IEEE Trans. Inform. Theory 1T-28 (1982), 2-10. Zbl 0473.94005, MR 0651095 |
| Reference:
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[27] R. Olshen: The coincidence of measure algebras under an exchangeable probability.Z. Wahrsch. verw. Gebiete 18 (1971), 153-158. Zbl 0206.18201, MR 0288797 |
| Reference:
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[28] R. Olshen: A note on exchangeable sequences.Z. Wahrsch. verw. Gebiete 28 (1974), 317-321. Zbl 0265.60006, MR 0375444 |
| Reference:
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[29] D. S. Ornstein: An application of ergodic theory to probability theory.Ann. Probab. 1 (1973), 43-58. Zbl 0282.28009, MR 0348831 |
| Reference:
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[30] S. Smale: Differentiable dynamical systems.Bull. Amer. Math. Soc. 73 (1967), 747-817. Zbl 0202.55202, MR 0228014 |
| Reference:
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[31] Š. Šujan: A generalized coding problem for discrete information sources.Kybernetika 13 (1977), Supplement, 95 pp. MR 0465531 |
| Reference:
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[32] Š. Šujan: Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources.Kybernetika 16 (1980), 105-119. MR 0575419 |
| Reference:
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[33] Š. Šujan: Generators of an abelian group of invertible measure-preserving transformations.Monatsh. Math. 90 (1980), 67-79. MR 0593832 |
| Reference:
|
[34] Š. Šujan: Epsilon-rates and noiseless fixed-rate block coding for stationary non-ergodic sources.(submitted). |
| Reference:
|
[35] Š. Šujan: Generators for amenable group actions.(submitted). |
| Reference:
|
[36] Š. Šujan: Codes in ergodic theory and information: some examples.(submitted). |
| Reference:
|
[37] K. Winkelbauer: On discrete information sources.Trans. Third Prague Conf. Inform. Theory etc., NČSAV, Prague 1964, 765-830. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[38] K. Winkelbauer: On the coding theorem for decomposable discrete information channels I, II.Kybernetika 7 (1971), 109-123, 230-255. Zbl 0244.94006, MR 0300751 |
| . |
