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Russian Mathematical Surveys, 1983, Volume 38, Issue 4, Pages 29–40
DOI: https://doi.org/10.1070/RM1983v038n04ABEH004203
(Mi rm2940)
 

This article is cited in 195 scientific papers (total in 195 papers)

Combinatorial foundations of information theory and the calculus of probabilities

A. N. Kolmogorov
References:
Received: 20.08.1982
Bibliographic databases:
Document Type: Article
UDC: 51.01+519.1
MSC: 60C05, 94A15, 60G57
Language: English
Original paper language: Russian
Citation: A. N. Kolmogorov, “Combinatorial foundations of information theory and the calculus of probabilities”, Russian Math. Surveys, 38:4 (1983), 29–40
Citation in format AMSBIB
\Bibitem{Kol83}
\by A.~N.~Kolmogorov
\paper Combinatorial foundations of information theory and the calculus of probabilities
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 4
\pages 29--40
\mathnet{http://mi.mathnet.ru/eng/rm2940}
\crossref{https://doi.org/10.1070/RM1983v038n04ABEH004203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=710113}
\zmath{https://zbmath.org/?q=an:0597.60002}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1983RuMaS..38...29K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983TA39200002}
Linking options:
  • https://www.mathnet.ru/eng/rm2940
  • https://doi.org/10.1070/RM1983v038n04ABEH004203
  • https://www.mathnet.ru/eng/rm/v38/i4/p27
  • This publication is cited in the following 195 articles:
    1. Aram Ebtekar, Marcus Hutter, “Foundations of algorithmic thermodynamics”, Phys. Rev. E, 111:1 (2025)  crossref
    2. Oleg Kuzenkov, Lecture Notes in Computer Science, 15407, Supercomputing, 2025, 152  crossref
    3. Vladimir Vovk, “Testing exchangeability in the batch mode with e-values and Markov alternatives”, Mach Learn, 114:4 (2025)  crossref
    4. Peter Bossaerts, Elizabeth Bowman, Felix Fattinger, Harvey Huang, Michelle Lee, Carsten Murawski, Anirudh Suthakar, Shireen Tang, Nitin Yadav, “Resource allocation, computational complexity, and market design”, Journal of Behavioral and Experimental Finance, 42 (2024), 100906  crossref
    5. Klaus Jaffe, “Infodynamics, a Review”, SSRN Journal, 2024  crossref
    6. Klaus Jaffe, “Infodynamics, a Review”, Qeios, 2024  crossref
    7. Igor V. Andrianov, Lelya A. Khajiyeva, Askar K. Kudaibergenov, Galina A. Starushenko, “On Aspects of Continuous Approximation of Diatomic Lattice”, Mathematics, 12:10 (2024), 1456  crossref
    8. Ziling Lu, Jian Wang, “A novel and efficient multi-scale feature extraction method for EEG classification”, MATH, 9:6 (2024), 16605  crossref
    9. Daniel Alpay, Chapman Mathematical Notes, Exercises in Applied Mathematics, 2024, 1  crossref
    10. Masashi ICHIMIYA, Ikuo NAKAMURA, “A study of the spatiotemporal structure of a turbulent boundary layer measured by the use of two hot-wire probes (Velocity time series patterns and Kolmogorov's structure function)”, JFST, 19:3 (2024), JFST0028  crossref
    11. O. A. Kuzenkov, “Opredelenie ponyatiya informatsii v oblasti kompyuternykh nauk”, Izvestiya vuzov. PND, 32:4 (2024), 541–562  mathnet  crossref
    12. David Ellerman, SpringerBriefs in Philosophy, Partitions, Objective Indefiniteness, and Quantum Reality, 2024, 67  crossref
    13. David Lynn Abel, ““Assembly Theory” in Life Origin Models: A Critical Review”, BioSystems, 2024, 105378  crossref
    14. Xiaolong Shao, Shiyong Ning, Yifan Wang, Xu Han, 2024 8th International Conference on Electrical, Mechanical and Computer Engineering (ICEMCE), 2024, 2094  crossref
    15. Yu. A. Dubnov, A. Yu. Popkov, B. S. Darkhovsky, “Estimating the Hölder exponents based on the $\epsilon$-complexity of continuous functions: an experimental analysis of the algorithm”, Autom. Remote Control, 84:4 (2023), 377–388  mathnet  crossref  crossref
    16. N. K. Vereshchagin, A. L. Semenov, A. Kh. Shen', “Kolmogorov’s last discovery? (Kolmogorov and algorithmic statistics)”, Theory Probab. Appl., 68:4 (2024), 582–606  mathnet  crossref  crossref
    17. Felipe Oliveira Araújo Lopes, “Information Theory and Logical Analysis in the Tractatus Logico-Philosophicus”, Philosophia, 51:1 (2023), 217  crossref
    18. Yu. A. Dubnov, A. Yu. Popkov, B. S. Darkhovsky, “Estimating the Hölder Exponents Based on the $\epsilon $-Complexity of Continuous Functions: An Experimental Analysis of the Algorithm”, Autom Remote Control, 84:4 (2023), 337  crossref
    19. Vicente Moreno-Casas, “What can complexity learn from Misesian economics?”, Rev Austrian Econ, 2023  crossref
    20. Jian Wang, Ziwei Han, Wenjing Jiang, Junseok Kim, “A novel classification method combining phase-field and DNN”, Pattern Recognition, 142 (2023), 109723  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Успехи математических наук Russian Mathematical Surveys
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    References:109
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