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Probl. Peredachi Inf., 1965, Volume 1, Issue 1, Pages 3–11 (Mi ppi68)  

This article is cited in 67 scientific papers (total in 67 papers)

Three approaches to the definition of the concept “quantity of information”

A. N. Kolmogorov


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UDC: 621.391.12
Received: 09.01.1965

Citation: A. N. Kolmogorov, “Three approaches to the definition of the concept “quantity of information””, Probl. Peredachi Inf., 1:1 (1965), 3–11

Citation in format AMSBIB
\Bibitem{Kol65}
\by A.~N.~Kolmogorov
\paper Three approaches to the definition of the concept ``quantity of information''
\jour Probl. Peredachi Inf.
\yr 1965
\vol 1
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/ppi68}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=184801}
\zmath{https://zbmath.org/?q=an:0271.94018}


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    This publication is cited in the following articles:
    1. A. K. Zvonkin, L. A. Levin, “The complexity of finite objects and the development of the concepts of information and randomness by means of the theory of algorithms”, Russian Math. Surveys, 25:6 (1970), 83–124  mathnet  crossref  mathscinet  zmath
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    4. A. O. Slisenko, “Complexity problems in computational theory”, Russian Math. Surveys, 36:6 (1981), 23–125  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    5. A. N. Kolmogorov, “Combinatorial foundations of information theory and the calculus of probabilities”, Russian Math. Surveys, 38:4 (1983), 29–40  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. R. I. Grigorchuk, “Stepeni rosta konechno-porozhdennykh grupp i teoriya invariantnykh srednikh”, Izv. AN SSSR. Ser. matem., 48:5 (1984), 939–985  mathnet  mathscinet  zmath; R. I. Grigorchuk, “Degrees of growth of finitely generated groups, and the theory of invariant means”, Math. USSR-Izv., 25:2 (1985), 259–300  crossref
    7. P. Vitani, M. Li, “Kolmogorovskaya slozhnost: dvadtsat let spustya”, UMN, 43:6(264) (1988), 129–166  mathnet  mathscinet  zmath
    8. V. A. Uspenskii, A. L. Semenov, A. Kh. Shen', “Can an individual sequence of zeros and ones be random?”, Russian Math. Surveys, 45:1 (1990), 121–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    11. An. A. Muchnik, S. E. Positsel'skii, “A class of enumerable sets”, Russian Math. Surveys, 54:3 (1999), 640–641  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    12. O. V. Kukushkina, A. A. Polikarpov, D. V. Khmelev, “Using Literal and Grammatical Statistics for Authorship Attribution”, Problems Inform. Transmission, 37:2 (2001), 172–184  mathnet  crossref  mathscinet  zmath
    13. Phys. Usp., 45:11 (2002), 1131–1151  mathnet  crossref  crossref  isi
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    15. L. A. Levin, “One-Way Functions”, Problems Inform. Transmission, 39:1 (2003), 92–103  mathnet  crossref  mathscinet  zmath
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    19. M. V. V'yugin, “Systems of Strings with Large Mutual Complexity”, Problems Inform. Transmission, 39:4 (2003), 395–399  mathnet  crossref  mathscinet  zmath
    20. V. P. Maslov, “Aksiomy nelineinogo osredneniya v finansovoi matematike i dinamika kursa aktsii”, Teoriya veroyatn. i ee primen., 48:4 (2003), 800–810  mathnet  crossref  mathscinet  zmath; V. P. Maslov, “Nonlinear averaging axioms in financial mathematics and stock price dynamics”, Theory Probab. Appl., 48:4 (2004), 723–733  crossref  isi  elib
    21. Puglisi A., Benedetto D., Caglioti E., Loreto V., Vulpiani A., “Data Compression and Learning in Time Sequences Analysis”, Physica D, 180:1-2 (2003), 92–107  crossref  isi
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    40. Hagar, A, “Active Fault-Tolerant Quantum Error Correction: The Curse of the Open System”, Philosophy of Science, 76:4 (2009), 506  crossref  isi
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  • Проблемы передачи информации Problems of Information Transmission
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