Mathematician:Andrey Nikolaevich Kolmogorov

Andrey Nikolaevich Kolmogorov (Russian: Андрей Николаевич Колмогоров) was a 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-Arnold-Moser Theorem (with Vladimir Igorevich Arnold and Jürgen Kurt Moser)
 * Kolmogorov Backward Equation
 * Kolmogorov Forward Equation (also known as the Fokker-Planck Equation)
 * Kolmogorov Dimension (upper box dimension)
 * Kolmogorov Continuity Theorem
 * Kolmogorov's Criterion
 * Kolmogorov's Generalized Criterion
 * Kolmogorov Extension Theorem
 * Kolmogorov's Inequality
 * Landau-Kolmogorov Inequality (with Edmund Landau)
 * Brouwer-Heyting-Kolmogorov Interpretation (independently of Bertus Brouwer and Arend Heyting)
 * Kolmogorov Microscales
 * Kolmogorov Space (also known as a $T_0$ Space)
 * Kolmogorov Complexity
 * Kolmogorov-Smirnov Test (with Vladimir Ivanovich Smirnov)
 * Kolmogorov's Zero-One Law
 * Kolmogorov's Characterization of Reversible Diffusions
 * Borel-Kolmogorov Paradox (with Émile Borel)
 * Chapman-Kolmogorov Equation (with Sydney Chapman)
 * Chaitin-Kolmogorov Randomness (with Gregory John Chaitin)
 * Hahn-Kolmogorov Theorem (with Hans Hahn)

Books and Papers

 * 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
 * 1968: (with Sergei Fomin) (translated into English, and rather severely and less-than-successfully edited, in 1970 by Richard A. Silverman, Dover Publications: ISBN 0-486-61226-0)