A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. III. Relative isomorphism of non-ergodic transformations

Štefan Šujan

Kybernetika (1985)

  • Volume: 21, Issue: 2, page 134-147
  • ISSN: 0023-5954

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Šujan, Štefan. "A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. III. Relative isomorphism of non-ergodic transformations." Kybernetika 21.2 (1985): 134-147. <http://eudml.org/doc/27950>.

@article{Šujan1985,
author = {Šujan, Štefan},
journal = {Kybernetika},
keywords = {aperiodic non-ergodic transformations; classes of processes; non-ergodic processes; relative isomorphism theory},
language = {eng},
number = {2},
pages = {134-147},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. III. Relative isomorphism of non-ergodic transformations},
url = {http://eudml.org/doc/27950},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Šujan, Štefan
TI - A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. III. Relative isomorphism of non-ergodic transformations
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 2
SP - 134
EP - 147
LA - eng
KW - aperiodic non-ergodic transformations; classes of processes; non-ergodic processes; relative isomorphism theory
UR - http://eudml.org/doc/27950
ER -

References

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  1. Š. Šujan, A local structure of stationary perfectly noiseless codes between, stationary non-ergodic sources. Part I: General considerations, Kybernetika 18 (1982), 361-375. (1982) MR0686518
  2. Š. Šujan, A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. Part II: Applications, Kybernetika 18 (1982), 465-484. (1982) MR0707396
  3. Š. Šujan, Epsilon-rates and noiseless fixed-rate block coding for stationary non-ergodic sources, Elektron. Informationsverarb. Kybernet. (EIK) 19 (1983), 375-385. (1983) MR0741757
  4. Š. Šujan, Generators for amenable group actions, Monatsh. für Math. 95 (1983), 67-79. (1983) MR0697350
  5. Š. Šujan, Codes in ergodic theory and information: some examples, In: Ergodic Theory and Related Topics (H. Michel, ed.), Akademie Verlag, Berlin 1982, 181-184. (1982) MR0730763
  6. A. Fieldsteel, The relative isomorphism problem for Bernoulli flows, Israel J. Math. 40 (1981), 197-216. (1981) MR0654577
  7. R. M. Gray, L. D. Davisson, The ergodic decomposition of stationary discrete random processes, IEEE Trans. Inform. Theory IT-20 (1974), 625-636. (1974) Zbl0301.94027MR0373763
  8. J. C. Kieffer, A simple derivation of Thouvenot's relative isomorphism theorem, Preprint, Univ. of Missouri - Rolla 1982. (1982) 
  9. V. A. Rokhlin, Lectures on entropy theory of transformations with invariant measure, (in Russian). Uspekhi mat. nauk 22 (1967), vyp. 5 (137), 4-56. (1967) MR0217258
  10. Š. Šujan, Ergodic theory, entropy, and coding problems of information theory, Kybernetika 19 (1983), supplement, 68 pp. (1983) MR0902063
  11. J.-P. Thouvenot, Quelques proprietes des systémes dynamiques qui se decomposent en un produit de deux systémes dont l'un est un schema de Bernoulli, Israel J. Math. 21 (1975), 177-207. (1975) Zbl0329.28008MR0399419

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