A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications

Štefan Šujan

Kybernetika (1982)

  • Volume: 18, Issue: 6, page 465-484
  • ISSN: 0023-5954

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Šujan, Štefan. "A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications." Kybernetika 18.6 (1982): 465-484. <http://eudml.org/doc/28008>.

@article{Šujan1982,
author = {Šujan, Štefan},
journal = {Kybernetika},
keywords = {information sources; epsilon transmissibility; invariants; conditionally Bernoulli sources; metric; finitary isomorphisms; generator problems; ergodic theory; noiseless source coding; transmission of aperiodic non- ergodic sources},
language = {eng},
number = {6},
pages = {465-484},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications},
url = {http://eudml.org/doc/28008},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Šujan, Štefan
TI - A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications
JO - Kybernetika
PY - 1982
PB - Institute of Information Theory and Automation AS CR
VL - 18
IS - 6
SP - 465
EP - 484
LA - eng
KW - information sources; epsilon transmissibility; invariants; conditionally Bernoulli sources; metric; finitary isomorphisms; generator problems; ergodic theory; noiseless source coding; transmission of aperiodic non- ergodic sources
UR - http://eudml.org/doc/28008
ER -

References

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  1. Š. Šujan, A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources, Kybernetika 18 (1982), 5, 361 - 375. (1982) MR0686518
  2. R. L. Adler, B. Marcus, Topological entropy and equivalence of dynamical systems, Mem. Amer. Math. Soc. 219 (1979). (1979) Zbl0412.54050MR0533691
  3. R. M. Gray, Sliding block source coding, IEEE Trans. Inform. Theory IT-2I (1975), 357-368. (1975) Zbl0308.94015MR0376230
  4. 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. (1980) MR0577308
  5. M. Keane, M. Smorodinsky, The finitary isomorphism theorem for Markov shifts, Bull. Amer. Math. Soc. (New Series) 1 (1979), 346-438. (1979) Zbl0407.28010MR0520082
  6. J. C. Kieffer, On the transmission of Bernoulli sources over stationary channels, Ann. Probab. 8 (1980), 942-961. (1980) Zbl0452.94012MR0586778
  7. J. C. Kieffer, Block coding for a stationary channel satisfying a weak continuity condition, (to appear). 
  8. J. C. Kieffer, Sliding-block coding for weakly continuous channels, IEEE Trans. Inform. Theory 1T-28 (1982), 2-10. (1982) Zbl0473.94005MR0651095
  9. R. Olshen, The coincidence of measure algebras under an exchangeable probability, Z. Wahrsch. verw. Gebiete 18 (1971), 153-158. (1971) Zbl0206.18201MR0288797
  10. R. Olshen, A note on exchangeable sequences, Z. Wahrsch. verw. Gebiete 28 (1974), 317-321. (1974) Zbl0265.60006MR0375444
  11. D. S. Ornstein, An application of ergodic theory to probability theory, Ann. Probab. 1 (1973), 43-58. (1973) Zbl0282.28009MR0348831
  12. S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. (1967) Zbl0202.55202MR0228014
  13. Š. Šujan, A generalized coding problem for discrete information sources, Kybernetika 13 (1977), Supplement, 95 pp. (1977) MR0465531
  14. Š. Šujan, Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources, Kybernetika 16 (1980), 105-119. (1980) MR0575419
  15. Š. Šujan, Generators of an abelian group of invertible measure-preserving transformations, Monatsh. Math. 90 (1980), 67-79. (1980) MR0593832
  16. Š. Šujan, Epsilon-rates and noiseless fixed-rate block coding for stationary non-ergodic sources, (submitted). 
  17. Š. Šujan, Generators for amenable group actions, (submitted). 
  18. Š. Šujan, Codes in ergodic theory and information: some examples, (submitted). 
  19. K. Winkelbauer, On discrete information sources, Trans. Third Prague Conf. Inform. Theory etc., NČSAV, Prague 1964, 765-830. (1964) Zbl0126.35702MR0166000
  20. K. Winkelbauer, On the coding theorem for decomposable discrete information channels I, II, Kybernetika 7 (1971), 109-123, 230-255. (1971) Zbl0244.94006MR0300751

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