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Title: A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. III. Relative isomorphism of non-ergodic transformations (English)
Author: Šujan, Štefan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 21
Issue: 2
Year: 1985
Pages: 134-147
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Category: math
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MSC: 60G10
MSC: 60G35
MSC: 94A29
idZBL: Zbl 0574.94010
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Date available: 2009-09-24T17:46:24Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124795
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Related article: http://dml.cz/handle/10338.dmlcz/124853
Related article: http://dml.cz/handle/10338.dmlcz/125868
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Reference: [I] Š. Šujan: A local structure of stationary perfectly noiseless codes between, stationary non-ergodic sources. Part I: General considerations.Kybernetika 18 (1982), 361-375. MR 0686518
Reference: [II] Š. Šujan: A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. Part II: Applications.Kybernetika 18 (1982), 465-484. MR 0707396
Reference: [34] Š. Šujan: Epsilon-rates and noiseless fixed-rate block coding for stationary non-ergodic sources.Elektron. Informationsverarb. Kybernet. (EIK) 19 (1983), 375-385. MR 0741757
Reference: [35] Š. Šujan: Generators for amenable group actions.Monatsh. für Math. 95 (1983), 67-79. MR 0697350
Reference: [36] 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. MR 0730763
Reference: [39] A. Fieldsteel: The relative isomorphism problem for Bernoulli flows.Israel J. Math. 40 (1981), 197-216. MR 0654577
Reference: [40] R. M. Gray, L. D. Davisson: The ergodic decomposition of stationary discrete random processes.IEEE Trans. Inform. Theory IT-20 (1974), 625-636. Zbl 0301.94027, MR 0373763
Reference: [41] J. C. Kieffer: A simple derivation of Thouvenot's relative isomorphism theorem.Preprint, Univ. of Missouri - Rolla 1982.
Reference: [42] V. A. Rokhlin: Lectures on entropy theory of transformations with invariant measure.(in Russian). Uspekhi mat. nauk 22 (1967), vyp. 5 (137), 4-56. MR 0217258
Reference: [43] Š. Šujan: Ergodic theory, entropy, and coding problems of information theory.Kybernetika 19 (1983), supplement, 68 pp. MR 0902063
Reference: [44] 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. Zbl 0329.28008, MR 0399419
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