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Branching Measures of Information on Strings

Published online by Cambridge University Press:  20 November 2018

Bruce R. Ebanks
Bruce R. Ebanks*
Affiliation:
Department of Mathematics, Texas Tech. University, Lubbock, Texas 79409
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In classical information theory, the amount of information provided by an experiment is measured by a function of the probability distribution of the outcomes of the experiment. In this paper, information measures are functions of sequences of elements of a monoid (S, ∘) with identity e. It is assumed that the measures {μn: Sn → ℝ} of information are branching.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 4 , 01 December 1979 , pp. 433 - 448
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Aczél, J., Sur les opérations définies pour nombres réels, Bull. Soc. Math. Franc. 76 (1948), 59-64.Google Scholar
2. Faucett, W. M., Topological semigroups and continua with cut points, Proc. Amer. Math. Soc. 6 (1955), 748-756.Google Scholar
3. Jessen, B., The algebra of polyhedra and the Dehn-Sydler Theorem, Math. Scand. 22 (1968), 241-256.Google Scholar
4. Jessen, B., Karpf, J., and Thorup, A., Some functional equations in groups and rings, Math. Scand. 22 (1968), 257-265.Google Scholar
5. Mostert, P. S. and Shields, A. L., On a class of semigroups on En, Proc. Amer. Math. Soc. 7 (1956), 729-734.Google Scholar
6. Mostert, P. S. and Shields, A. L., On the structure of semigroups on a compact manifold with boundary, Ann. Math. 65 (1957), 117-143.Google Scholar
7. Numakura, K., On bicompact semigroups, Math. J. Okayama Univ. 1 (1952), 99-108.Google Scholar
8. Storey, C. R., The structure of threads, Pacific J. Math. 10 (1960), 1429-1445.Google Scholar
9. Tamari, D., Caractérisation des semi-groupes à un paramètre, C. R. Acad. Sci. Paris 228 (1949), 1092-1094.Google Scholar
10. Wallace, A. D., A note on mobs, Anais de Academia Brasileira de Ciencias 24 (1952), 329-334.Google Scholar
11. Aczél, J. and Daróczy, Z., On Measures of Information and Their Characterizations (1975), Academic Press, New York-London.Google Scholar