Mathematician:Andrey Nikolaevich Kolmogorov

Mathematician
Russian mathematician active in various fields, including probability theory, topology and intuitionistic logic.

Nationality
Russian

History

 * Born: April 25, 1903, Tambov, Russia
 * Died: October 20, 1987, Moscow, Russia

Theorems and Definitions

 * Kolmogorov Axioms


 * Kolmogorov Complexity
 * Kolmogorov Dimension (upper box dimension)
 * Kolmogorov Microscales
 * Kolmogorov Space (also known as a $T_0$ Space)


 * Kolmogorov-Sinai Entropy (with )


 * Kolmogorov Backward Equation
 * Kolmogorov's Characterization of Reversible Diffusions
 * Kolmogorov Continuity Theorem
 * Kolmogorov's Criterion
 * Kolmogorov's Generalized Criterion
 * Kolmogorov Forward Equation (also known as the Fokker-Planck Equation)
 * Kolmogorov Extension Theorem
 * Kolmogorov's Inequality
 * Kolmogorov's Law, also known as the Strong Law of Large Numbers
 * Kolmogorov's Submartingale Inequality, also known as Doob's Maximal Inequality or Doob's Martingale Inequality for
 * Kolmogorov's Zero-One Law


 * Kolmogorov-Arnold-Moser Theorem (with and )
 * Kolmogorov-Smirnov Test (with )


 * Borel-Kolmogorov Paradox (with )
 * Brouwer-Heyting-Kolmogorov Interpretation (independently of and )
 * Chapman-Kolmogorov Equation (with )
 * Chaitin-Kolmogorov Randomness (with )
 * Fisher-Kolmogorov Equation (with )
 * Hahn-Kolmogorov Theorem (with )
 * Landau-Kolmogorov Inequality (with )
 * Rao-Blackwell-Kolmogorov Theorem (with and )

Publications

 * 1925: On the principle of the excluded middle
 * 1931: About the Analytical Methods of Probability Theory
 * 1933: Grundbegriffe der Wahrscheinlichkeitsrechnung (Foundations of the Theory of Probability)
 * 1938: Analytic methods in probability theory
 * 1954: Limit distributions for sums of independent random variables (with )
 * 1957: (with  (translated by )
 * 1961: (with   (translated by )
 * 1968: (with ) (translated into English, and rather severely and less-than-successfully edited, in 1970 by, Dover Publications: ISBN 0-486-61226-0)

Also known as
In Russian: Андрей Николаевич Колмогоров).

Various formulations can be seen in Latin script, for example Andrei for Andrey.