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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Branching and generalized-recursive inset entropies
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by Bruce R. Ebanks PDF
Proc. Amer. Math. Soc. 79 (1980), 260-267 Request permission

Abstract:

In the framework of the mixed theory of information, the general form of branching entropies is determined. This result then leads to a characterization of regular, generalized-recursive entropies of randomized systems of events.
References
  • J. Aczél and Z. Daróczy, A mixed theory of information. I. Symmetric, recursive and measurable entropies of randomized systems of events, RAIRO Inform. Théor. 12 (1978), no. 2, 149–155, v (English, with French summary). MR 0490441, DOI 10.1080/16073606.1989.9632178
  • J. Aczél and Z. Daróczy, On measures of information and their characterizations, Mathematics in Science and Engineering, Vol. 115, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0689178
  • J. Aczél and Z. Daróczy, A mixed theory of information. I. Symmetric, recursive and measurable entropies of randomized systems of events, RAIRO Inform. Théor. 12 (1978), no. 2, 149–155, v (English, with French summary). MR 0490441, DOI 10.1080/16073606.1989.9632178
  • J. Aczél and Pl. Kannappan, A mixed theory of information. III. Inset entropies of degree $\beta$, Inform. and Control 39 (1978), no. 3, 315–322. MR 523445, DOI 10.1016/S0019-9958(78)90659-9
  • Bruce R. Ebanks, Branching measures of information on strings, Canad. Math. Bull. 22 (1979), no. 4, 433–448. MR 563757, DOI 10.4153/CMB-1979-057-3
    • —, Generalized-recursive entropies (to appear).
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    • J. Aczél and Pl. Kannappan, On some symmetric recursive inset measures of information, Transactions of the Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, Academia, Prague, 1978.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 260-267
  • MSC: Primary 94A17; Secondary 39B40, 39B70
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0565351-6
  • MathSciNet review: 565351