171 KOLMOGOROV^ 



Office: Institute of Mechanics of USSR Academy of Sciences 



Leningradskii Prospekt, 7 



Moscow, USSR 

 Residence: Leninskii Prospekt, 13 



Moscow, USSR 

 Telephone: V2 46 79 



KOLMQGORQV, ANDREI NIKOLAEVICH (Mathematician) 

 A. N. Kolmogorov was born April 25, 1903. In 1925 he 

 graduated from Moscow University where he was a student of 

 N. N. Luzin (1883-1950), Professor at the University. Kolmo- 

 gorov became a professor there in 1931. In 1939 he was elect- 

 ed an Academician of the U-S.S.R. Academy of Sciences. He 

 was awarded in 1941 a Stalin Prize. 



Kolmogorov' s scientific works began in the field of the theory 

 of a real variable, where he worked on the convergence of 

 trigonometric series, the theory of measure, generalization of 

 the concept of the integral and general theories of operation on 

 sets. Returning in 1956 to the theory of functions, Kolmogorov 

 obtained important results on the representability of functions 

 of a number of variables by superposition of functions with a 

 smaller number of variables. Kolmogorov made contributions 

 to constructive logic; in topology he created the theory of the 

 so-called "upper" or V-homologies. Kolmogorov also worked • 

 on the theory of the approximation of functions and functional 

 analysis. His more outstanding works are concerned with the 

 theory of probability, where he, together with A. Ya. Khinchin, 

 began from 1925 to apply the methods of the theory of functions 

 of a real variable. This permitted the solution of some difficult 

 problems and construction of a system of axiomatic foundation 

 to the theory of probability (1933). From the beginning of the 

 1930' s, analytical methods which were found essential for con- 

 structing the theory of the Markov processes with continuous 

 time predominate in the works of Kolmogorov. Later he de- 

 veloped the theory of stationary, accidental processes, which 

 led to results used in automatic control, and to the establish- 

 ment (together with a group of students) of a theory of ^^ branch- 

 ing," accidental processes. Kolmogorov worked together with 

 A. M. Obukhov on the statistical theory of turbulence; he also 

 investigated the theory of fire, statistical methods of control- 

 ling mass production, the theory of conveying information along 

 communication channels. He is interested in the teaching of 

 mathematics in secondary schools. Among his students are: 



