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Šujan, Štefan

A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. I: General considerations. (English) Zbl 0504.94021

Kybernetika 18, 361-375 (1982).
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scan of Zbl 0504.94021

Cited in 3 Reviews
Cited in 4 Documents

MSC:

94A29 Source coding

Keywords:

ergodic decomposition; probability measures; ergodic fibres; ergodic subsources; finitary codes
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\textit{Š. Šujan}, Kybernetika 18, 361--375 (1982; Zbl 0504.94021)
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References:

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[2] R. Bowen: Equilibrium States and the ErgodicTheory of Anosov Diffeomorphisms. (Lecture Notes in Mathematics 470.) Springer - Verlag, Berlin-Heidelberg-New York 1975. · Zbl 0308.28010
[3] M. Denker: Finite generators for ergodic, measure-preserving transformations. Z. Wahrsch. verw. Gebiete 29 (1974), 45-55. · Zbl 0278.28006
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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. · Zbl 0204.07904
[11] D. S. Ornstein: Bernoulli shifts with the same entropy are isomorphic. Adv. in Math. 4 (1970), 337-352. · Zbl 0197.33502
[12] D. S. Ornstein: Ergodic Theory, Randomness, and Dynamical Systems. Yale Univ. Press, New Haven and London 1974. · Zbl 0296.28016
[13] J. C. Oxtoby: Ergodic sets. Bull. Amer. Math. Soc. 55 (1952), 116-136. · Zbl 0046.11504
[14] W. Parry: Entropy and Generators in Ergodic Theory. W. A. Benjamin, New York -Amsterdam 1969. · Zbl 0175.34001
[15] V. A. Rohlin: On the basic concepts of measure theory. (in Russian). Matem. Sborn. 25 (67) (1949), 107-150.
[16] P. C. Shields: Stationary coding of processes. IEEE Trans. Inform. Theory IT-25 (1979), 293-291. · Zbl 0401.94018
[17] M. Smorodinsky: Ergodic Theory, Entropy. (Lecture Notes in Mathematics 214.) Springer -Verlag, Berlin-Heidelberg-New York 1971. · Zbl 0213.07502
[18] K. Winkelbauer: On the asymptotic rate of non-ergodic information sources. Kybernetika 6 (1970), 127-148. · Zbl 0245.94013
[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
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