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Cited by 165

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The life and work of A.A. Markov

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Basharin, Gely P., Langville, Amy N., Naumov, Valeriy A.·2004·Linear Algebra and its Applications
DOI 10.1016/j.laa.2003.12.041
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Research works printed but not linked: 25

  1. D. Bernoulli, Specimen theoria novae de mensura sortis, Commentarii Academiae Scientiarium Imperialis Petropolitanae, Petropoli 5 (1738) 175–192 (Translated into English by L. Sommer, Exposition of a new theory on the measurements of risk, Econometrica 22 (1954) 23–36) · DOI · Paper page
  2. J. Bernoulli, Ars Conjectandi, Opus Posthumum, Accedit Tractatus de Seriebus infinitis, et Epistola Gallice scripta de ludo Pilae recticularis, Basileae, 1713 (Chapters 1–4 translated into English by B. Sung, Ars Conjectandi, Technical Report No. 2, Department of Statistics, Harvard University, 1966) · doi:10.5479/sil.262971.39088000323931
  3. Bernstein, 1926, Sur l’extension du théoremé limite du calcul des probabilies etc., Math. Annalen, Bd., 97, 1, 10.1007/BF01447859 · DOI · Paper page
  4. A.S. Besikovitch, A Biographic Essay on A.A. Markov, vol. 9, 1924, pp. iii–xiv (in Russian)
  5. S.G. Brush, A history of random processes, 1. Brownian movement, 1968. in: M.G. Kendall, R.L. Plackett (Eds.), Stud. Hist. Stat. and Prob., London, vol. 2, 1977, pp. 347–382
  6. Chebyshev, 1846, An experience in the elementary analysis of the probability theory, Crelle’s J. Angew. Math.
  7. Chebyshev, 1867, Des valuers moyennes, J. Math. Pures Appl., 12, 177
  8. Chebyshev, 1891, Sur deux theoremes relatifs aux probabilities, Acta Math., 14
  9. Fletcher, 1962, vol. 1
  10. Frobenius, 1912, Uber Matrizen aus nicht negativen Elementeen, Sitzungsber. Preuss. Akad. Wiss., Berl., 456
  11. Hostinsky, 1929, Sur les probabilités des phénomenes liés en chaine de Markoff, C.R. Acad. Sci., Paris, 189, 78
  12. A.M. Lyapunov, Zhizn’ i trudy P.L. Chebysheva, in: P.L. Chebyshev (Ed.), Izbrannye Matematicheskie Trudy, Gostehizdat, M.-L., 1946
  13. Markonv, 1890, Ob odnom voproce D.I. Mendeleeva, Zapiski Imperatorskoi Akad. Nauk SP6, 62, 1
  14. Markov, 1899, Application des fonctions continues au calcul des probabilités, Kasan Bull., 9, 29
  15. A.A. Markov, Rasprostranenie predel’nyh teorem ischisleniya veroyatnostej na summu velichin svyazannyh v cep’, Zapiski Akademii Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya 25 (3) (1908). Translated into German, Ausdehnung der Satze uber die Grenzwerte in der Wahrscheinlichkeitsrechnung auf eine Summe verketteter Grossen, in: A.A. Markoff (Ed.), Wahrscheinlichkeitsrechnung (translated by H. Liebmann), B.G. Teuber, Leipzig, 1912, pp. 272–298. Translated into English, Extension of the limit theorems of probability theory to a sum of variables connected in a chain (translated by S. Petelin) in: R.A. Howard (Ed.), Dynamic Probabilities Systems, vol. 1, Wiley, New York, 1971, pp. 552–576
  16. Markov, 1910, Issledovanie obschego sluchaya ispytanij, svyazannyh v cep’, Zapiski Akad. Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya, 25
  17. Markov, 1911, Ob odnom sluchae ispytanij, svyazannyh v slozhnuyu cep’, Izv. Akad. Nauk, SPb, VI seriya, 5, 171
  18. Markov, 1912, Ob ispytaniyah, svyazannyh v cep’ ne nablyudaemymi sobytiyami, Izv. Akad. Nauk, SPb, VI seriya, 6, 551
  19. Markov, 1913, Primer statisticheskogo issledovaniya nad tekstom “Evgeniya Onegina”, illyustriruyuschij svyaz’ ispytanij v cep’, Izv. Akad. Nauk, SPb, VI seriya, 7, 153
  20. Nekrasov, 1898, General properties of numerous independent events in connection with approximate calculation of functions of very large numbers, Mat. Sbornik, 20, 431
  21. Schneider, 1977, The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, Konig and Markov, Linear Algebra Appl., 18, 139, 10.1016/0024-3795(77)90070-2 · DOI
  22. Seneta, 1996, Markov and the birth of chain dependence theory, Int. Statist. Rev., 64, 255, 10.2307/1403785 · DOI
  23. Seneta, 1982, Review of the correspondence between A.A. Markov and A.A. Chuprov on the theory of probability and mathematical statistics, Ann. Sci., 39, 614
  24. Sheynin, 1988, A.A. Markov’s work on probability, Arch. His. Exact Sci., 39, 337, 10.1007/BF00348446 · doi:10.1007/bf00348446
  25. Sheynin, 1976, Laplace’s work on probability, Arch. Hist. Exact Sci., 16, 137, 10.1007/BF00349635 · doi:10.1007/bf00349635

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Metadata

Authors
Basharin, G. P., Langville, A. N., & Naumov, V. A.
Venue
Linear Algebra and its Applications
Publisher
Elsevier BV
Published
2004-07
Volume
386
Pages
3-26
ISSN
0024-3795 (ISSN-L)
DOI
10.1016/j.laa.2003.12.041
OpenAlex
W2054579824
Cited by
165
References
0
FWCI
76.57
Type
journal article
Language
en
Open access
bronze
Licence

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CoChat. (2026). Citation check: The life and work of A.A. Markov. https://app.cochat.ai/papers/10.1016/j.laa.2003.12.041
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Basharin, G. P., Langville, A. N., & Naumov, V. A. (2004). The life and work of A.A. Markov. Linear Algebra and its Applications. https://doi.org/10.1016/j.laa.2003.12.041

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.