# Mathematician:Andrey Nikolaevich Kolmogorov

(Redirected from Mathematician:A.N. Kolmogorov)

## Contents

## Mathematician

In Russian: **Андрей Николаевич Колмогоров**).

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)
- Fisher-Kolmogorov Equation (with Ronald Aylmer Fisher)
- Hahn-Kolmogorov Theorem (with Hans Hahn)
- Rao-Blackwell-Kolmogorov Theorem (with Calyampudi Radhakrishna Rao and David Harold Blackwell)

Results named for **Andrey Nikolaevich Kolmogorov** can be found here.

Definitions of concepts named for **Andrey Nikolaevich Kolmogorov** can be found here.

Axioms named for **Andrey Nikolaevich Kolmogorov** can be found here.

## 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* - 1968:
*Introductory Real Analysis*(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)