Andrey Nikolaevich Kolmogorov (April 25, 1903 - October 20, 1987) was a Soviet mathematician born in Tambov, Russia, who died in Moscow. He is most renowned for establishing the axiomatic foundations of probability theory: his landmark 1933 publication, Foundations of the Theory of Probability, laid the modern axiomatic foundations of the field and secured his position as its preeminent authority. He also made substantial advances in topology, intuitionistic logic, the study of turbulence, classical mechanics, functional analysis, and algorithmic information theory, developing what became known as Kolmogorov complexity theory and co-creating the Kolmogorov-Arnold-Moser theorem in classical mechanics. Numerous mathematical concepts, equations, and theorems bear his name, reflecting the breadth of his contributions to twentieth-century mathematics.
Facts
Connections
Attributed Works
Source Avrami Equation (Wikipedia)
Source Chapman-Kolmogorov Equation (Wikipedia)
In Branch
Source Andrey Kolmogorov (Wikipedia)
Source Andrey Kolmogorov (Wikipedia)
Source Andrey Kolmogorov (Wikipedia)
Source Andrey Kolmogorov (Wikipedia)
Source Andrey Kolmogorov (Wikipedia)
Mentored
Source Eugene Borisovich Dynkin (MacTutor)
Source Israel Gelfand (Wikipedia)
Namesake Of
Principal Result
Source Chapman-Kolmogorov Equation (Wikipedia)
Source Kolmogorov Extension Theorem (Wikipedia)
Source Kolmogorov-Arnold Representation Theorem (Wikipedia)
Source Kolmogorov's three-series theorem (Wikipedia)
Proofs Credited
Source Kolmogorov Extension Theorem (Wikipedia)
Source Kolmogorov-Arnold Representation Theorem (Wikipedia)
Source Kolmogorov's three-series theorem (Wikipedia)
Source Kolmogorov's Zero-One Law (Wikipedia)
Source Law of large numbers, Wikipedia
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Source Wikidata: Andrey Kolmogorov
Also in Geography Atlas: the nationality of this subject.
Source Wikidata: Andrey Kolmogorov
Sources
1. Andrey Kolmogorov (Wikipedia)
Lead section, gender reference
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Probability and Statistics, Lead paragraph
Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров, IPA: [ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf] , 25 April 1903-20 October 1987) was a Soviet mathematician who played a central role in the creation of modern probability theory.
In Branch: Topology, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Functional Analysis, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Information Theory, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Computational Complexity Theory, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
View the Source2. MacTutor History of Mathematics, University of St Andrews: Andrey Nikolaevich Kolmogorov
MacTutor History of Mathematics, University of St AndrewsQuick Info: BornQuote, Quick Info: Born
25 April 1903
3. Wolf Foundation: Wolf Prize in Mathematics laureates
Wolf FoundationPrize shareQuote, Prize share
Andrey N. Kolmogorov
Wikidata: Andrey Kolmogorov
Wikidata Q153224, class allow-list match (w-wdresolver-0926)View the Source Avrami Equation (Wikipedia)
Attributed Works: Avrami Equation, LeadQuote, Attributed Works: Avrami Equation, Lead
The equation was first derived by Johnson, Mehl, Avrami and Kolmogorov (in Russian)
Kolmogorov's Zero-One Law (Wikipedia)
Wikimedia FoundationProofs Credited: Kolmogorov's Zero-One Law, Article textQuote, Proofs Credited: Kolmogorov's Zero-One Law, Article text
In probability theory, Kolmogorov's zero-one law, named in honor of Andrey Nikolaevich Kolmogorov, specifies that a certain type of event, namely a tail event of independent σ-algebras, will either almost surely happen or almost surely not happen; that is, the probability of such an event occurring is zero or one.
Eugene Borisovich Dynkin (MacTutor)
Mentored: Eugene Dynkin, Biography, graduate yearsQuote, Mentored: Eugene Dynkin, Biography, graduate years
Dynkin remained at Moscow University where he became a research student of Kolmogorov
Kolmogorov Extension Theorem (Wikipedia)
Wikimedia FoundationPrincipal Result: Kolmogorov Extension Theorem, Lead sentence of the article on the result
It is credited to the English mathematician Percy John Daniell and the Russian mathematician Andrey Nikolaevich Kolmogorov.
Proofs Credited: Kolmogorov Extension Theorem, Lead paragraph
It is credited to the English mathematician Percy John Daniell and the Russian mathematician Andrey Nikolaevich Kolmogorov.
View the Source Kolmogorov's three-series theorem (Wikipedia)
Principal Result: Kolmogorov's Three-Series Theorem, Lead sentence of the article on the result
In probability theory, Kolmogorov's three-series theorem, named after Andrey Kolmogorov, gives a criterion for the almost sure convergence of an infinite series of random variables in terms of the convergence of three different series involving properties of their probability distributions.
Proofs Credited: Kolmogorov's Three-Series Theorem, Lead section
Kolmogorov's three-series theorem, named after Andrey Kolmogorov
View the SourceKolmogorov-Arnold Representation Theorem (Wikipedia)
Principal Result: Kolmogorov-Arnold Representation Theorem, Lead sentence of the article on the resultQuote, Principal Result: Kolmogorov-Arnold Representation Theorem, Lead sentence of the article on the result
The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then f can be written as a finite composition of continuous functions of a single variable and the binary operation of addition.
Chapman-Kolmogorov Equation (Wikipedia)
Attributed Works: Chapman-Kolmogorov equation, Lead sentence
The equation was derived independently by both the British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov.
Principal Result: Chapman-Kolmogorov equation, Lead sentence of the article on the result
The equation was derived independently by both the British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov.
View the SourceIsrael Gelfand (Wikipedia)
Mentored: Israel Gelfand, Early yearsQuote, Mentored: Israel Gelfand, Early years
where his advisor was the preeminent mathematician Andrei Kolmogorov
Kolmogorov-Arnold Representation Theorem (Wikipedia)
Proofs Credited: Kolmogorov-Arnold Representation Theorem, LeadQuote, Proofs Credited: Kolmogorov-Arnold Representation Theorem, Lead
The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then f can be written as a finite composition of continuous functions of a single variable and the binary operation of addition.
Law of large numbers, Wikipedia
Proofs Credited: Strong Law of Large Numbers, Lead sectionQuote, Proofs Credited: Strong Law of Large Numbers, Lead section
variables having an expected value (like the weak law). This was proved by Kolmogorov in 1930. It can also apply in other cases. Kolmogorov
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