# Andrei Andrejewitsch Markow (mathematician, 1856)

**Andrei Andrejewitsch Markow** ( Russian Андрей Андреевич Марков , scientific transliteration *Andrej Andreevič Markov* , formerly also transcribed as Markoff; * June 2 ^{July} / June 14, 1856 ^{greg.} In Ryazan ; † July 20, 1922 in Petrograd ) was a Russian mathematician , who made significant contributions to probability theory and analysis .

## Life

Markov was born in Ryazan . He studied from 1874 to 1880 with Pafnuti Tschebyschow in Saint Petersburg . In 1885 he defended his habilitation thesis *on some applications of algebraic continued fractions* and in 1886 became an associate professor at the Faculty of Mathematics and Physics at the Imperial University of Saint Petersburg . In the same year he became a member of the Russian Academy of Sciences .

His brother Wladimir Andrejewitsch Markow (1871-1897) was also a mathematician who died early of tuberculosis. An inequality is named after the brothers.

The crater of the moon Markov is named after him and the astrophysicist Alexander Wladimirowitsch Markow . In 2001 the asteroid (27514) Markov was named after him.

His son Andrei Andrejewitsch Markow (1903–1979) was also a mathematician.

## plant

Markov is best known for the theory of stochastic processes : in 1913 he calculated the sequences of letters in Russian literature to prove the need for independence for the law of large numbers . The calculations could also be interpreted as a statement about the well-formedness of the orthography of letter strings. A general statistical tool, the so-called stochastic Markov process , developed from this approach , from which future developments can be determined on the basis of current knowledge. Today z. B. an application of so-called *Hidden Markov Models* in handwriting and speech recognition software . According to Markow u. a. the Markov chains , the Markov inequalities and the Gauss-Markow theorem .

## See also

## Fonts

- AA Markoff: Calculation of differences . BG Teubner, Leipzig 1896 ( (here online) [accessed on September 8, 2013]).
- AA Markoff: Probability Theory . BG Teubner, Leipzig 1912 ( (online here) (full text: Cornell University Library) [accessed on September 8, 2013] Translation of the 2nd Russian edition).

## literature

- Alexander A. Youschkevitch: Markov, Andrei Andreevich . In: Charles Coulston Gillispie (Ed.): Dictionary of Scientific Biography . tape 9 : AT Macrobius - KF Naumann . Charles Scribner's Sons, New York 1974, p. 124-130 .

## Web links

**Commons : Andrei Markow**- collection of pictures, videos and audio files

- Literature by and about Andrei Andrejewitsch Markow in the catalog of the German National Library
- Markov and the Consequences - Project at the Humboldt University in Berlin
- Philipp von Hilgers, Wladimir Velminski (Ed.):
*Andrej A. Markov. Computable Arts*, Zurich / Berlin: diaphanes , 2007. ISBN 978-3-935300-69-8 - John J. O'Connor, Edmund F. Robertson :
*Andrei Andrejewitsch Markow (mathematician, 1856).*In:*MacTutor History of Mathematics archive .* - Article
*Andrei Andrejewitsch Markow (mathematician, 1856)*in the*Great Soviet Encyclopedia (BSE)*, 3rd edition 1969–1978 (Russian) - Mathematics and poetry - Felix Philipp Ingold on Markow's contribution to quantitative text linguistics in the science newspaper Recherche (October 2009).
- Spektrum .de: Andrei Markow (1856–1922) June 1, 2016

## Individual evidence

personal data | |
---|---|

SURNAME | Markow, Andrei Andrejewitsch |

ALTERNATIVE NAMES | Марков, Андрей Андреевич (Russian) |

BRIEF DESCRIPTION | Russian mathematician |

DATE OF BIRTH | June 14, 1856 |

PLACE OF BIRTH | Ryazan |

DATE OF DEATH | July 20, 1922 |

Place of death | Petrograd |