On the asymptotic rate of non-ergodic information sources

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1. P. R. Halmos, Measure theory, New York 1950. (1950) Zbl0040.16802MR0033869
2. A. I. Khinchin, Mathematical foundations of information theory, Dover Publications, New York 1957. (1957) Zbl0088.10404MR0092709
3. N. Kryloff N. Bogoliouboff, La théorie générale de la mesure dans son application à l'étude des systèmes dynamique de la mécanique non linéaire, Ann. of Math. 38 (1937), 65-113. (1937) MR1503326
4. B. McMillan, The basic theorems of information theory, Ann. Math. Stat. 24 (1953), 196-219. (1953) Zbl0050.35501MR0055621
5. J. C. Oxtoby, Ergodic sets, Bull. Amer. Math. Soc. 58 (1952), 116-136. (1952) Zbl0046.11504MR0047262
6. K. R. Parthasarathy, On the integral representation of the rate of transmission of a stationary channel, Illinois Journ. of Math. 5 (1961), 2, 299-305. (1961) Zbl0100.33903MR0121259
7. K. R. Parthasarathy, A note on McMillan's theorem for countable alphabets, Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 541-543. (1964) Zbl0199.21401MR0166006
8. K. R. Parthasarathy, Effective entropy rate and transmission of information through channels with additive random noise, Manuscript, 1962. (1962) MR0173568
9. A. Perez, Notions généralizées d'incertitude, d'entropie et d'information, Transact. First Prague Conf. on Inform. Theory etc., Prague 1957, 183-208. (1957) MR0099889
10. A. Perez, Sur la théorie de l'information dans le cas d'un alphabet abstrait, Transact. First Prague Conf. on Inform. Theory etc., Prague 1957, 209-243. (1957) Zbl0106.33102MR0099890
11. A. Perez, Extensions of Shannon-McMillan's limit theorem to more general stochastic processes, Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 545-574. (1964) Zbl0126.35703MR0165996
12. V. A. Rohlin, New progress in the theory of transformation with invariant measure, (In Russian). Usp. matem. nauk 15 (1960), 3-26. (1960) MR0132155
13. C. E. Shannon, A mathematical theory of communication, Bell System Tech. Journ. 27 (1948), Part I, 379-423. (1948) Zbl1154.94303MR0026286
14. I. G. Sinal, On the flows with finite entropy, (In Russian). Dokl. Akad. Nauk 125 (1959), 6, 1200-1202. (1959) MR0103257
15. K. Winkelbauer, On discrete information sources, Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 765-830. (1964) Zbl0126.35702MR0166000
16. K. Winkelbauer, Axiomatic definition of channel capacity and entropy rate, Transact. Fourth Prague Conf. on Inform. Theory etc., Prague 1967, 661-705. (1967) MR0219351
17. K. Winkelbauer, Channels with finite past history, Transact. Second Prague Conf. on Inform. Theory etc., Prague 1960, 685-831. (1960) Zbl0161.16904MR0129056

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