Andrey Kolmogorov - Definition and Overview

Andrey Nikolaevich Kolmogorov (Андре́й Никола́евич Колмого́ров) (kahl-mah-GAW-raff) (April 25, 1903 in Tambov - October 20, 1987 in Moscow) was a Russian mathematician who made major advances in the fields of probability theory and topology. He worked early in his career on intuitionistic logic, and Fourier series. He also worked on turbulence, and classical mechanics; and was a founder of algorithmic complexity theory.

Kolmogorov worked at Moscow State University. He studied under Nikolai Luzin, earning his Ph.D. in 1925, in 1931 he became the professor of the university. In 1939 he received the title of academician of the USSR Academy of Sciences.

Quote:

"The theory of probability as mathematical discipline can and should be developed from axioms in exactly the same way as Geometry and Algebra."

See also

• Kolmogorov axioms
• Kolmogorov complexity
• Kolmogorov space
• Kolmogorov-Smirnov test
• Kolmogorov-Arnold-Moser theorem
• Kolmogorov's zero-one law
• Chapman-Kolmogorov equation

Bibliography

• Selected works of A.N. Kolmogorov / edited by V.M. Tikhomirov; translated from the Russian by V.M. Volosov. 3 volumes. Dordrecht; Boston : Kluwer Academic Publishers, c1991-c1993 ISBN 9027727953 .

External links

• The Legacy of Andrei Nikolaevich Kolmogorov (http://www.kolmogorov.com/) Curriculum Vitae and Biography. Kolmogorov School. Ph.D. students and descendants of A.N. Kolmogorov. A.N. Kolmogorov works, books, papers, articles. Photographs and Portraits of A.N. Kolmogorov.
• Biography of Andrey Nikolaevich Kolmogorov (http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Kolmogorov.html) at the St. Andrews site
• Collection of links to Kolmogorov resources (http://www.geometry.net/scientists/kolmogorov_andrey.php)
• Andrei Nikolaevich Kolmogorov (http://www.kolmogorov.pms.ru/) (in Russian)
• Kolmogorov School (http://www.pms.ru/) at Moscow University
• Mathematical genealogy of A.N. Kolmogorov (http://www.genealogy.ams.org/html/id.phtml?id=10480)