Andrey Markov: Difference between revisions
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:''This article is about the mathematician. For the [[ice hockey|hockey]] player, see [[Andrei Markov (hockey player)]].'' |
:''This article is about the mathematician. For the [[ice hockey|hockey]] player, see [[Andrei Markov (hockey player)]].'' |
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[[Image:Markov2.jpg|thumb|300px| Young Markov]] |
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'''Andrey (Andrei) Andreyevich Markov''' ({{lang-ru|Андрей Андреевич Марков}}) ([[June 14]], [[1856]] [[N.S.]] – [[July 20]], [[1922]]) was a [[Russia]]n [[mathematician]]. Markov was born in [[Ryazan]]. He studied at [[Saint Petersburg State University|St. Petersburg University]] in 1874 under the tutelage of [[Pafnuty Chebyshev|Chebyshev]]. In 1886, he became a member of the [[Russian Academy of Sciences|St. Petersburg Academy of Science]]. He is best known for his work on theory of [[stochastic process]]es. His research later became known as [[Markov chain]]s. |
'''Andrey (Andrei) Andreyevich Markov''' ({{lang-ru|Андрей Андреевич Марков}}) ([[June 14]], [[1856]] [[N.S.]] – [[July 20]], [[1922]]) was a [[Russia]]n [[mathematician]]. Markov was born in [[Ryazan]]. He studied at [[Saint Petersburg State University|St. Petersburg University]] in 1874 under the tutelage of [[Pafnuty Chebyshev|Chebyshev]]. In 1886, he became a member of the [[Russian Academy of Sciences|St. Petersburg Academy of Science]]. He is best known for his work on theory of [[stochastic process]]es. His research later became known as [[Markov chain]]s. |
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In late 19th century, the Moscow school of probability mixed math and religion asuming that the stability of frequencies proves [[free will]]. |
In late 19th century, the Moscow school of probability mixed math and religion asuming that the stability of frequencies proves [[free will]]. |
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Markov, an atheist, proved that [[Central Limit Theorem]] works also for [[random variables]] that are not independent. |
Markov, an atheist, proved that [[Central Limit Theorem]] works also for [[random variables]] that are not independent. |
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Revision as of 03:17, 29 October 2006
- This article is about the mathematician. For the hockey player, see Andrei Markov (hockey player).
Andrey Markov | |
|---|---|
 Andrey Andreyevich Markov | |
| Born | June 14, 1856 N.S. |
| Died | July 20, 1922 |
| Nationality | Russian .svg){kind=small} |
| Alma mater | St Petersburg University |
| Known for | Markov chains |
| Scientific career | |
| Fields | Mathematician |
| Institutions | St Petersburg University |
| Doctoral advisor | Pafnuty Chebyshev |
| Doctoral students | Abram Besicovitch Georgy Voronoy |
Andrey (Andrei) Andreyevich Markov (Russian: Андрей Андреевич Марков) (June 14, 1856 N.S. – July 20, 1922) was a Russian mathematician. Markov was born in Ryazan. He studied at St. Petersburg University in 1874 under the tutelage of Chebyshev. In 1886, he became a member of the St. Petersburg Academy of Science. He is best known for his work on theory of stochastic processes. His research later became known as Markov chains. In late 19th century, the Moscow school of probability mixed math and religion asuming that the stability of frequencies proves free will. Markov, an atheist, proved that Central Limit Theorem works also for random variables that are not independent.
His son another Andrey Andreevich Markov (1903-1979) was also a notable mathematician.
See also
- Markov chain
- Markov chain Monte Carlo
- Gauss-Markov theorem
- Gauss–Markov process
- Hidden Markov model
- Markov number
- Markov property
- Markov's inequality
- Markov process
- Markov blanket
- Markov network
References
- А. А. Марков. "Распространение закона больших чисел на величины, зависящие друг от друга". "Известия Физико-математического общества при Казанском университете", 2-я серия, том 15, ст. 135-156, 1906.
- A.A. Markov. "Extension of the limit theorems of probability theory to a sum of variables connected in a chain". reprinted in Appendix B of: R. Howard. Dynamic Probabilistic Systems, volume 1: Markov Chains. John Wiley and Sons, 1971.
External links
- Andrey Markov at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Andrey Markov", MacTutor History of Mathematics Archive, University of St Andrews
- Biography of A.A. Markov
- Andrey Andreevich Markov (1903-1979) (biography of Markov's son, located at the Steklov Institute of Mathematics at St.Petersburg)
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