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Kodai Mathematical Seminar Reports

Entropy and semivaluations on semilattices

Yatsuka Nakamura

Source: Kodai Math. Sem. Rep. Volume 22, Number 4 (1970), 443-468.

Primary Subjects: 94.20

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.kmj/1138846220
Mathematical Reviews number (MathSciNet): MR0281541
Zentralblatt MATH identifier: 0222.06004
Digital Object Identifier: doi:10.2996/kmj/1138846220

References

[1] BILLINGSLEY, P., Ergodic theory and information. John Wiley & Sons (1965).
Mathematical Reviews (MathSciNet): MR192027
[2] BIRKHOFF, G., Lattice theory. Amer. Math. Soc. Colloq. Publ. 25 (1948)
[3] FADDEEV, A. D., On the notion of entropy of a finite probability space. Uspeh Mat. Nauk. 11 (1956), 227-231. (in Russian)
Mathematical Reviews (MathSciNet): MR77814
Zentralblatt MATH: 0071.13103
[4] HINCHIN, A. L, Mathematical foundations of information theory. Dover Publ (1958). (English translation)
[5] INGARDEN, R. S , Information theory and thermodynamic of light, I. Fortschritt der Physik 12 (1964), 567-594.
Mathematical Reviews (MathSciNet): MR204207
[6] RENYI, A., On measures of entropy and information. Proc. 4th Berkeley Symp I (1962), 547-561.
Mathematical Reviews (MathSciNet): MR132570
Zentralblatt MATH: 0106.33001
[7] ROKHLIN, V. S., Generators in ergodic theorems. Vestnik Leningrad Univ. (1963), 26-32. (in Russian
Zentralblatt MATH: 0167.32802
[8] SHANNON, C. E., A mathematical theory of communication. Bell system. Tech Journ. 27 (1948), 370-423, 623-656.
Mathematical Reviews (MathSciNet): MR26286
[9] SINAI, JA. G., Weak isomorphism of transformations with invariant measure Amer. Math. Soc. Transl. 2 (1966), 123-143. (English translation)
[10] TVERBERG, H., A new derivation of the information function. Math. Scand. (1958), 297-298.
Mathematical Reviews (MathSciNet): MR104941
Zentralblatt MATH: 0089.13401

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