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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 3, Pages 30–35 (Mi ppi1039)  

This article is cited in 5 scientific papers (total in 5 papers)

Information Theory

Laws of Information Conservation (Nongrowth) and Aspects of the Foundation of Probability Theory

L. A. Levin
Full-text PDF (858 kB) Citations (5)
Abstract: A new alternative definition is given for the algorithmic quantity of information defined by Kolmogorov. The nongrowth of this quantity is proved for random and certain other processes, The established properties are used to investigate problems related to the approach of [A. N. Kolmogorov, Probl. Peredachi Inf., 1965, vol. 1, no. 1, pp. 3–7; P. Martin-Lóf, Inf. Control, 1966, vol. 9, no. 6, pp. 602–619] with bearing on the foundation of probability theory.
Received: 09.01.1974
Bibliographic databases:
Document Type: Article
UDC: 621.391.1, 519
Language: Russian
Citation: L. A. Levin, “Laws of Information Conservation (Nongrowth) and Aspects of the Foundation of Probability Theory”, Probl. Peredachi Inf., 10:3 (1974), 30–35; Problems Inform. Transmission, 10:3 (1974), 206–210
Citation in format AMSBIB
\Bibitem{Lev74}
\by L.~A.~Levin
\paper Laws of Information Conservation (Nongrowth) and Aspects of the Foundation of Probability Theory
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 3
\pages 30--35
\mathnet{http://mi.mathnet.ru/ppi1039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=469513}
\zmath{https://zbmath.org/?q=an:0312.94007}
\transl
\jour Problems Inform. Transmission
\yr 1974
\vol 10
\issue 3
\pages 206--210
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  • https://www.mathnet.ru/eng/ppi1039
  • https://www.mathnet.ru/eng/ppi/v10/i3/p30
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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