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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 3, Pages 30–35
(Mi ppi1039)
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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
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
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
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https://www.mathnet.ru/eng/ppi1039 https://www.mathnet.ru/eng/ppi/v10/i3/p30
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Abstract page: | 3263 | Full-text PDF : | 1268 | First page: | 3 |
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