Mathematician:Andrey Andreyevich Markov
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Mathematician
Russian mathematician best known for his work on stochastic processes.
Elder brother of Vladimir Andreyevich Markov, and father of Andrey Andreyevich Markov Jr.
Nationality
Russian
History
- Born: 14 June 1856, Ryazan, Russia
- 1866: Entered Saint Petersburg's fifth grammar school
- 1874: Began at the physico-mathematical faculty of St Petersburg University
- 1877: Awarded the gold medal for solving $\paren {1 + x^2} \dfrac {\d y} {\d x} = n \paren {1 + y^2}$
- 1886: Appointed extraordinary professor, elected adjunct to the Academy of Sciences
- 1890: After death of Viktor Bunyakovsky, became extraordinary member of the academy
- 1896: Elected ordinary member of the academy as the successor of Chebyshev
- 1905: Appointed merited professor.
- 1908: Rejected for political reasons from further teaching at Saint Petersburg University
- 1912: Requested (and received) excommunication from the Russian Orthodox Church in protest to Leo Tolstoy's excommunication
- 1913: Elected by the Council of Saint Petersburg as an honorary member of the university, but was not affirmed by Minister of Education
- 1917: After February revolution, his 1913 election was confirmed
- Died: 20 July 1922, Petrograd (now St Petersburg), Russia
Theorems and Definitions
- Hidden Markov Model
- Markov Blanket
- Markov Chain
- Markov Chain Monte Carlo Methods
- Markov Decision Process
- Markov Information Source
- Markov Network
- Markov Number, Markov Diophantine Equation, Markov Triple
- Markov Property
- Markov Process
- Markov Algorithm
- Gauss-Markov Process (with Carl Friedrich Gauss)
- Markov-Gibbs Properties (with Josiah Willard Gibbs)
- Chebyshev-Markov-Stieltjes Inequalities (with Pafnuty Chebyshev and Thomas Stieltjes)
- Gauss-Markov Theorem (with Carl Friedrich Gauss)
- Markov Brothers' Inequality (don't laugh) (with Vladimir Andreyevich Markov)
Results named for Andrey Andreyevich Markov can be found here.
Definitions of concepts named for Andrey Andreyevich Markov can be found here.
Publications
- 1877: About Integration of Differential Equations by Continuous Fractions with an Application to the Equation $\paren {1 + x^2} \frac {\d y} {\d x} = n \paren {1 + y^2}$
- April 1880: About Binary Quadratic Forms with Positive Determinant (masters thesis)
- 1882: Sur un question de Jean Bernoulli (Math. Ann. Vol. 19: pp. 27 – 36)
- 1884: About Some Applications of Algebraic Continuous Fractions (doctoral thesis)
- 1890: On a question by D.I. Mendeleev
- 1906: Распространение закона больших чисел на величины, зависящие друг от друга
Also known as
In Russian: Андре́й Андре́евич Ма́рков.
Various transliterations of his name can be seen, for example:
- Andrei for Andrey
- Andreevich for Andreyevich
Sources
- John J. O'Connor and Edmund F. Robertson: "Andrey Andreyevich Markov": MacTutor History of Mathematics archive
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Markov, Andrei Andreevich (1856-1922)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Markov, Andrei Andreevich (1856-1922)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Markov, Andrei Andreevich (1856-1922)