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Kolmogorov, Andreĭ Nikolaevich

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Author ID: kolmogorov.andrei-nikolaevich Recent zbMATH articles by "Kolmogorov, Andreĭ Nikolaevich"
Published as: Kolmogorov, A. N.; Kolmogoroff, A.; Kolmogorov, A.; Kolmogoroff, A. N.; Kolmogorov, Andreĭ Nikolaevich; Kolmogoroff, André; Kolmogorov, Andrei Nikolajewitsch; Kolmogorov, Andrei Nikolaevich; Kolmogorov, Andrei N.; Kolmogorov, Andrej Nikolaevich; Kolmogorov, Andreĭ N.; Kolmogorov, Andreĭ; Kolmogorov, Andrey Nikolaievich; Kolmogorov, Andrey Nikolaevich; Kolmogorov, Andrej N.; Kolmogorov, Andrey N.; Kolmogoroff, Andrej; Kolmogoroff, A. A.; Kolmogoroff
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Wolf Prize (1980)
Documents Indexed: 398 Publications since 1923, including 65 Books
Reviewing Activity: 36 Reviews
Biographic References: 103 Publications
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Co-Authors

238 single-authored
32 Aleksandrov, Pavel Sergeevich
18 Gnedenko, Boris Vladimirovich
17 Fomin, Sergeĭ Vasil’evich
14 Oleĭnik, Ol’ga Arsen’evna
14 Yushkevich, Adol’f Pavlovich
12 Gel’fand, Israil’ Moiseevich
9 Lavrent’ev, Mikhail Alekseevich
9 Novikov, Sergeĭ Petrovich
9 Prokhorov, Yuriĭ Vasil’evich
7 Tikhomirov, Vladimir Mikhaĭlovich
6 Arnol’d, Vladimir Igorevich
6 Bogolyubov, Nikolaĭ Nikolaevich
6 Sinaĭ, Yakov Grigor’evich
6 Sobolev, Sergeĭ L’vovich
5 Markushevich, Alekseĭ Ivanovich
5 Uspenskiĭ, Vladimir Andreevich
5 Vishik, Marko Iosifovich
4 Aleksandrov, Aleksandr Danilovich
4 Belyaev, Yuriĭ Konstantinovich
4 Dzyadyk, Vladyslav Kyrylovych
4 Khinchin, Aleksandr Yakovlevich
4 Kreĭn, Mark Grigor’evich
4 Kudryavtsev, Lev Dmitrievich
4 Levin, Boris Yakovlevich
4 Levitan, Boris Moiseevich
4 Marchenko, Vladimir Aleksandrovich
4 Shabat, Boris Vladimirovich
4 Ul’yanov, Pëtr Lavrent’evich
4 Yaglom, Akiva Moiseevich
3 Bashmakova, Izabella Grigor’evna
3 Berezans’kyĭ, Yuriĭ Makarovych
3 Demidov, Sergeĭ Sergeevich
3 Faddeev, Dmitriĭ Konstantinovich
3 Grigor’yan, Ashot Tigranovich
3 Lyusternik, Lazar’ Aronovich
3 Men’shov, Dmitriĭ Evgen’evich
3 Parshin, Alexei N.
3 Sarmanov, O. V.
3 Shiryaev, Al’bert Nikolaevich
3 Solov’ev, Alexander D.
3 Vercenko, J.
3 Zhurbenko, Igor G.
2 Akhiezer, Naum Il’ich
2 Azlarov, Tursun Abdurakhimovich
2 Bokut, Leonid A.
2 Bulinskiĭ, Aleksandr Vadimovich
2 Ditkin, Vitaliĭ Arsen’evich
2 Dragalin, Albert G.
2 Egorov, Yuriĭ Vladimirovich
2 Ershov, Yuriĭ Leonidovich
2 Faddeev, Lyudvig Dmitrievich
2 Fuchs, Dmitry Borisovich
2 Gavurin, Mark Konstantinovich
2 Gindikin, Simon Grigorevich
2 Goncharov, Vasiliĭ Leonidovich
2 Gorin, Evgeniĭ Alekseevich
2 Grushin, V. V.
2 Kalashnikov, Anatoliĭ Sergeevich
2 Kirillov, Alexandre Aleksandrovich
2 Kostrikin, Alekseĭ Ivanovich
2 Kozlov, V. Ya.
2 Kuz’min, E. N.
2 Latyshev, Viktor Nikolaevich
2 Leontowitsch, M. A.
2 Linnik, Yuriĭ Vladimirovich
2 Lyubich, Yuriĭ Il’ich
2 Maikov, E. V.
2 Marchuk, Guriĭ Ivanovich
2 Maslov, Viktor Pavlovich
2 Medvedev, Fëdor Andreevich
2 Mityagin, Boris Samuilovich
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Orlov, V. B.
2 Ostrovskiĭ, Iosif Vladimirovich
2 Palamodov, Victor Pavlovitch
2 Petrova, Svetlana Sergeevna
2 Pinsker, Aron Grigor’evich
2 Pogorelov, Alekseĭ Vasil’evich
2 Ponomarenko, V. G.
2 Povzner, Aleksandr Yakovlevich
2 Rozanov, Yuriĭ Anatol’evich
2 Rozenfel’d, Boris Abramovich
2 Rubinshteĭn, Gennadiĭ Shlemovich
2 Sarymsakov, Tashmukhamed Alievich
2 Seliverstov, Gleb Aleksandrovich
2 Shestakov, Ivan Pavlovich
2 Skvortsov, Valentin Anatol’evich
2 Smirnov, Yuriĭ Mikhaĭlovich
2 Smolyanov, Oleg Georgievich
2 Statulevičius, Vytautas
2 Tikhonov, Andreĭ Nikolaevich
2 Trofimov, Viktor Nikolaevich
2 Tsvetkov, A. T.
2 Verchenko, I. Ya.
2 Vershik, Anatoliĭ Moiseevich
2 Viro, Oleg Ya.
2 Vlasov, V. F.
2 Volevich, Leonid Romanovich
2 Voskresenskij, G. P.
2 Vulikh, Boris Zakharovich
...and 46 more Co-Authors
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Serials

51 Uspekhi Matematicheskikh Nauk [N. S.]
38 Russian Mathematical Surveys
26 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
21 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
15 Mathematische Annalen
10 Annals of Mathematics. Second Series
9 Theory of Probability and its Applications
9 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
9 Recueil Mathématique
9 Recueil Mathématique. Nouvelle Série
7 Doklady Akademii Nauk SSSR
7 Atti della Accademia Nazionale dei Lincei, Rendiconti, VI. Serie
7 Doklady Akademii Nauk SSSR. Novaya Seriya
6 Teoriya Veroyatnosteĭ i eë Primeneniya
6 Translations. Series 2. American Mathematical Society
5 Fundamenta Mathematicae
4 Giornale dell’Istituto Italiano degli Attuari
4 Bulletin de l’Académie des Sciences de l’URSS. VII. Série
3 Mathematische Zeitschrift
3 Voprosy Istorii Estestvoznaniya i Tekhniki
3 Ergebnisse der Mathematik und ihrer Grenzgebiete
3 Mathematics and Its Applications. Soviet Series
3 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse
3 Springer Collected Works in Mathematics
2 Studia Mathematica
2 Istoriko-Matematicheskie Issledovaniya
2 Sankhyā. Series A. Methods and Techniques
2 Selected Translations in Mathematical Statistics and Probability
2 Transactions of the Moscow Mathematical Society
2 Problemy Peredachi Informatsii
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 Trudy Seminara po Vektornomu i Tenzornomu Analizu
2 Physikalische Zeitschrift der Sowjetunion
2 Proceedings of the Steklov Institute of Mathematics
2 Vestnik Moskovskogo Universiteta, Seriya Fiziko-Matematicheskikh i Èstestvennykh Nauk
2 Uspekhi Matematicheskikh Nauk
2 Problemy Kibernetiki
1 IEEE Transactions on Information Theory
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Journal of Fluid Mechanics
1 Moscow University Mathematics Bulletin
1 Problems of Information Transmission
1 Functional Analysis and its Applications
1 Matematikai Lapok
1 The Mathematical Scientist
1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik
1 Soviet Mathematics. Doklady
1 Theoretical Computer Science
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Historia Mathematica
1 International Journal of Computer Mathematics
1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya
1 La Gaceta de la Real Sociedad Matemática Española
1 Annales de l’Institut Henri Poincaré
1 Chebyshevskiĭ Sbornik
1 Semiotika i Informatika
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Translations of Mathematical Monographs
1 Uspekhi Fizicheskikh Nauk
1 Annals of Mathematical Statistics
1 Trabajos de Estadística

Publications by Year

Citations contained in zbMATH Open

212 Publications have been cited 6,555 times in 6,006 Documents Cited by Year
Limit distributions for sums of independent random variables. Translated from the Russian by K. L. Chung. (Предельные распределения для сумм независимых случайных величин.) Zbl 0056.36001
Gnedenko, B. V.; Kolmogorov, A. N.
663
1954
Elements of the theory of functions and functional analysis. 3rd rev. ed. (Ѐлементы теории функций и функционального анализа.) Zbl 0235.46001
Kolmogorov, A. N.; Fomin, S. V.
405
1972
A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. Zbl 0112.42003
Kolmogorov, A. N.
307
1962
Étude de l’équation de la diffusion avec croissance de la quantite de matière et son application à un problème biologique. Zbl 0018.32106
Kolmogoroff, A.; Pretrovsky, I.; Piscounoff, N.
271
1937
Introductory real analysis. Transl. and ed. by Richard A. Silverman. Zbl 0213.07305
Kolmogorov, A. N.; Fomin, S. V.
215
1970
Three approaches to the definition of information. Zbl 0271.94018
Kolmogorov, A. N.
211
1965
Foundations of the theory of probability. 2nd English ed. Zbl 0074.12202
Kolmogorov, A. N.
193
1956
On the preservation of conditionally periodic motions under small variations of the Hamilton function. Zbl 0056.31502
Kolmogorov, A. N.
188
1954
A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces. Zbl 0083.10602
Kolmogorov, A. N.
152
1958
Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Zbl 0001.14902
Kolmogoroff, A.
135
1931
The local structure of turbulence in incompressible viscous fluid for very large Reynolds’ numbers. JFM 67.0850.06
Kolmogoroff, A.
130
1941
\(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503
Kolmogorov, A. N.; Tikhomirov, V. M.
125
1959
Elements of the theory of functions and functional analysis. (Ehlementy teorii funktsij i funktsional’nogo analiza). 5th ed. With a supplement ”Banach algebras” by V. M. Tikhomirov. Zbl 0501.46002
Kolmogorov, A. N.; Fomin, S. V.
119
1981
Dissipation of energy in the locally isotropic turbulence. Zbl 0063.03292
Kolmogorov, A. N.
113
1941
Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. JFM 66.0552.03
Kolmogoroff, A. N.
103
1940
The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Translated from the Russian by V. Levin. Zbl 1142.76389
Kolmogorov, A. N.
101
1991
Grundbegriffe der Wahrscheinlichkeitsrechnung. Zbl 0007.21601
Kolmogoroff, A.
95
1933
Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. Zbl 0013.34903
Kolmogoroff, A.
95
1936
Elements of the theory of functions and functional analysis. Textbook. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik). 6th ed., rev. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik.) Zbl 0672.46001
Kolmogorov, A. N.; Fomin, S. V.
81
1989
Elements of the theory of functions and functional analysis. Vol. 2: Measure. The Lebesgue integral. Hilbert space. Transl. from the first (1960) Russian ed. by Hyman Kamel and Korace Komm. Zbl 0103.08801
Kolmogorov, A. N.; Fomin, S. V.
79
1961
Sur la notion de la moyenne. JFM 56.0198.02
Kolmogoroff, A.
77
1930
On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition. Zbl 0090.27103
Kolmogorov, A. N.
76
1957
On strong mixing conditions for stationary Gaussian processes. Zbl 0106.12005
Kolmogorov, A. N.; Rozanov, Yu. A.
74
1961
Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.). Zbl 0008.39906
Kolmogoroff, A.
74
1934
Elements of the theory of functions and of functional analysis. II: Measure, Lebesgue integral, Hilbert space. (Ѐлементы теории функций и функционального анализа. Выпуск. II: Мера, интеграл Лебеча, Гильбертого пространство) (Elemente der Funktionentheorie und der Funktionalanalysis. Band II: Maß, Lebesguesches Integral, Hilbertscher Raum.) Zbl 0090.08702
Kolmogorov, A. N.; Fomin, S. V.
72
1960
Sulla determinazione empirica di una legge di distribuzione. Zbl 0006.17402
Kolmogoroff, A.
71
1933
Stationary sequences in Hilbert’s space. Zbl 0063.03291
Kolmogorov, A. N.
69
1941
Über das Gesetz des iterierten Logarithmus. JFM 55.0298.01
Kolmogoroff, A.
67
1929
\(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703
Kolmogorov, A. N.; Tikhomirov, V. M.
62
1959
Untersuchungen über den Integralbegriff. JFM 56.0923.01
Kolmogoroff, A.
61
1930
Sulla teoria di Volterra della lotta per l’esistenza. JFM 62.1263.01
Kolmogoroff, A.
60
1936
Logical basis for information theory and probability theory. Zbl 0167.47601
Kolmogorov, A. N.
60
1968
Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. JFM 62.0283.02
Kolmogoroff, A.
57
1936
Über dynamische Systeme mit einer Integralinvariante auf dem Torus. Zbl 0052.31904
Kolmogorov, A. N.
53
1953
Entropy per unit time as a metric invariant of automorphisms. Zbl 0086.10101
Kolmogorov, A. N.
53
1959
Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung. JFM 59.1154.01
Kolmogorov, A.
50
1933
Une série de Fourier-Lebesgue divergente presque partout. JFM 49.0205.02
Kolmogoroff, A.
47
1923
Sulla determinazione empirica di una legge di distribuzione. JFM 59.1166.03
Kolmogoroff, A.
46
1933
Zur Umkehrbarkeit der statistischen Naturgesetze. Zbl 0015.26004
Kolmogoroff, A.
45
1937
Grundbegriffe der Wahrscheinlichkeitsrechnung. JFM 59.1152.03
Kolmogoroff, A.
41
1933
Zur Deutung der intuitionistischen Logik. Zbl 0004.00201
Kolmogoroff, A.
41
1932
Une série de Fourier-Lebesgue divergente partout. JFM 52.0269.02
Kolmogoroff
37
1926
On degeneration of isotropic turbulence in an incompressible viscous liquid. Zbl 0026.17001
Kolmogoroff, A. N.
37
1941
On certain asymptotic characteristics of completely bounded metric spaces. Zbl 0070.11501
Kolmogorov, A. N.
36
1956
Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen. Zbl 0011.34503
Kolmogoroff, A.
35
1935
A remark on the polynomials of P. L. Chebyshev deviating the least from a given function. (Bemerkung, betreffend die Polynome von P. L. Chebyshev, die am wenigsten von einer gegebenen Funktion abweichen.) Zbl 0030.02803
Kolmogorov, A. N.
35
1948
Three approaches to the quantitative definition of information. Zbl 0172.42701
Kolmogorov, A. N.
35
1968
Über die Summen durch den Zufall bestimmter unabhängiger Größen. JFM 54.0543.05
Kolmogoroff, A.
34
1928
Dissipation of energy in the locally isotropic turbulence. Translated from the Russian by V. Levin. Zbl 1142.76390
Kolmogorov, A. N.
34
1991
Wienersche Spiralen und einige andere interessante Kurven im Hilbertsche Raum. Zbl 0022.36001
Kolmogoroff, A. N.
34
1940
Combinatorial foundations of information theory and the calculus of probabilities. Zbl 0597.60002
Kolmogorov, A. N.
32
1983
On rings of continuous functions on topological spaces. JFM 65.0500.03
Gelfand, I.; Kolmogoroff, A.
30
1939
On tables of random numbers. Zbl 0126.33203
Kolmogorov, A.
30
1963
On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition. Zbl 0125.30803
Kolmogorov, A. N.
29
1963
On a strong mixing condition for stationary random Gaussian processes. Zbl 0091.30001
Kolmogorov, A. N.; Rozanov, Yu. A.
29
1960
Zufällige Bewegungen. JFM 60.1159.01
Kolmogoroff, A.
28
1934
Sur les fonctions harmoniques conjuguées et les séries de Fourier. JFM 51.0216.04
Kolmogoroff, A.
28
1925
The local structure of turbulence in incompressible viscous fluid for every large Reynold’s numbers. Zbl 0025.37602
Kolmogoroff, A.
27
1941
Algorithms and randomness. Zbl 0648.60005
Kolmogorov, A. N.; Uspenskij, V. A.
24
1987
On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables. Zbl 0070.28301
Kolmogorov, A. N.
24
1956
Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. JFM 57.0613.03
Kolmogoroff, A.
23
1931
Grenzverteilungen von Summen unabhängiger Zufallsgrößen. Zbl 0088.10302
Gnedenko, B. W.; Kolmogorov, A. N.
23
1959
Grundbegriffe der Wahrscheinlichkeitsrechnung. (Osnovnye ponyatiya teorii veroyatnostej.) 2. Aufl. Zbl 0278.60002
Kolmogorov, A. N.
22
1974
Zur Theorie der Markoffschen Ketten. Zbl 0012.41001
Kolmogoroff, A.
21
1935
Confidence limits for an unknown distribution function. Zbl 0060.30514
Kolmogoroff, A.
21
1941
Two uniform limit theorems for sums of independent random variables. Zbl 0079.34502
Kolmogorov, A. N.
21
1957
Information theory and the theory of algorithms. With a biography by N. N. Bogolyubov, B. V. Gnedenko and S. L. Sobolev. With commentaries by R. L. Dobrushin, A. Kh. Shen’, V. M. Tikhomirov, Ya. M. Barzdin’, Ya. G. Sinaĭ, V. A. Uspenskiĭ and A. L. Semenov. Compiled by A. N. Shiryaev. Edited by Yu. V. Prokhorov. (Теория информации и теория алгоритмов.) Zbl 0642.94001
Kolmogorov, A. N.
18
1987
Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung. Zbl 0006.35802
Kolmogorov, A.
18
1933
Über das logarithmisch normale Verteilungsgesetz der Dimensionen der Teilchen bei Zerstückelung. Zbl 0025.19602
Kolmogoroff, A. N.
18
1941
Theory of transmission of information. Zbl 0141.16801
Kolmogorov, A. N.
18
1963
Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden. JFM 52.0212.03
Khintchine, A.; Kolmogoroff, A.
17
1925
Sur les propriétés des fonctions de concentrations de M. P. Levy. Zbl 0105.11804
Kolmogorov, A.
17
1958
On rings of continuous functions on topological spaces. Zbl 0021.41103
Gelfand, I.; Kolmogoroff, A.
17
1939
Éléments de la théorie des fonctions et de l’analyse fonctionnelle. Avec un complement ’Algèbres de Banach’ par V. M. Tikhomirov. Traduit du russe par Michel Dragnev. Zbl 0299.46001
Kolmogorov, A.; Fomine, S.
17
1974
Sur la loi forte des grands nombres. JFM 56.0445.06
Kolmogoroff, A.
16
1930
Zur Begründung der projektiven Geometrie. Zbl 0003.07803
Kolmogoroff, A.
16
1932
Zur Theorie der stetigen zufälligen Prozesse. Zbl 0007.02201
Kolmogoroff, A.
16
1933
Zur Lösung einer biologischen Aufgabe. Zbl 0019.35901
Kolmogorov, A. N.
16
1938
Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes. JFM 60.1229.02
Kolmogoroff, A.
15
1934
Sur la convergence des séries de fonctions orthogonales. JFM 53.0265.04
Kolmogoroff, A.; Menchoff, D.
15
1927
Selected works of A. N. Kolmogorov. Volume II: Probability theory and mathematical statistics. Edited by A. N. Shiryayev. Transl. from the Russian by G. Lindquist. Zbl 0743.60005
Kolmogorov, A. N.
15
1992
Über die Zerstückelung von Tropfen in turbulenter Strömung. Zbl 0034.41601
Kolmogorov, A. N.
15
1949
Zur Deutung der intuitionistischen Logik. JFM 58.0062.02
Kolmogoroff, A.
14
1932
Über das Prinzip tertium non datur. JFM 51.0048.01
Kolmogorov, A. N.
14
1925
Über Kompaktheit der Funktionenmengen bei der Konvergenz im Mittel. Zbl 0002.38501
Kolmogoroff, A.
14
1931
A formula of Gauss in the theory of least quadrature. Zbl 0029.40501
Kolmogorov, A. N.; Petrov, A. A.; Smirnov, Yu. M.
14
1947
Sur l’interpolation et extrapolation des suites stationnaires. JFM 65.0607.04
Kolmogoroff, A.
13
1939
On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables. Zbl 0128.27803
Kolmogorov, A. N.
13
1956
Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes. Zbl 0010.18202
Kolmogoroff, A.
13
1934
Über Kompaktheit der Funktionenmengen bei der Konvergenz im Mittel. JFM 57.0271.03
Kolmogoroff, A.
12
1931
Une contribution à l’étude de la convergence des séries de Fourier. JFM 50.0206.04
Kolmogoroff, A.
12
1924
Anfangsgründe der Theorie der Markoffschen Ketten mit unendlich vielen möglichen Zuständen. Zbl 0015.21903
Kolmogoroff, A.
12
1936
On Skorokhod convergence. Zbl 0074.34102
Kolmogorov, A. N.
12
1956
On the definition of an algorithm. Zbl 0090.01101
Kolmogorov, A. N.; Uspenskiĭ, V. A.
12
1958
Interpolation und Extrapolation von stationären zufälligen Folgen. JFM 67.0459.02
Kolmogoroff, A.
11
1941
Sulla teoria di Volterra della lotta per l’esistenza. Zbl 0013.31404
Kolmogoroff, A.
11
1936
Über offene Abbildungen. Zbl 0016.08105
Kolmogoroff, A.
10
1937
On linear dimensionality of topological vector spaces. Zbl 0080.31203
Kolmogorov, A. N.
10
1958
Probability theory and mathematical statistics. Selected works. Edited by Yu. V. Prokhorov. With commentaries. (Теория вероятностей и математическая статистика. Избранные труды.) Zbl 0595.60001
Kolmogorov, A. N.
9
1986
Une généralisation de l’inégalité de M. J. Hadamard entre les bornes supérieures des dérivées successives d’une fonction. JFM 64.0210.01
Kolmogoroff, A.
9
1938
Foundations of the theory of probability. Translated from the German and edited by Nathan Morrison. With an added bibliography by A. T. Bharucha-Reid. Reprint of the 1956 second English edition published by Chelsea Publishing Company. Zbl 1422.60001
Kolmogorov, Andreĭ Nikolaevich
1
2018
Selected works. Vol. 4. Mathematics and mathematicians. Book 2. On mathematicians. Edited by A. N. Shiryaev. (Избранные труды. Том 4. Математика и математики. Книга 2. О математиках.) Zbl 1294.01073
Kolmogorov, A. N.
1
2007
Selected works. Vol. 3. Information theory and the theory of algorithms. Edited by A. N. Shiryaev. (Избранные труды. Том 3. Теория информации и теория алгоритмов.) Zbl 1126.01024
Kolmogorov, A. N.
2
2005
Selected works. Vol. 2. Probability theory and mathematical statistics. Edited by A. N. Shiryaev. (Избранные труды. Том 2. Теория вероятностей и математическая статистика.) Zbl 1126.01023
Kolmogorov, A. N.
1
2005
Mathematical models of the turbulent motion of an incompressible viscous fluid. Zbl 1114.76029
Kolmogorov, A. N.
3
2003
On some inequalities connected to the strong law of large numbers. Zbl 1059.60040
Kolmogorov, A. N.
2
2003
From the heritage of A. N. Kolmogorov: The theory of probability. Zbl 1073.60003
Kolmogorov, A. N.
1
2003
On Skorokhod’s convergence. Zbl 0969.60008
Kolmogorov, Andrey N.
1
2000
Mathematics. Its content, methods and meaning. Translated from the Russian by Tamas Bartha, Kurt Hirsch and S. H. Gould. Translation edited by S. H. Gould. Three volumes bound as one. Reprint of the 2nd 1969 edition, published in 3 volumes. Zbl 1049.00004
Aleksandrov, A. D.; Kolmogorov, A. N.; Lavrent’ev, M. A.
1
1999
Russian poetry rhythm analysis and probability theory. Zbl 1044.60517
Kolmogorov, A. N.; Rychkova, N. G.
1
1999
On tables of random numbers. Zbl 0948.68125
Kolmogorov, A. N.
5
1998
Mathematics of the 19th century. Function theory according to Chebyshev, ordinary differential equations, calculus of variations, theory of finite differences. Transl. from the Russian by Roger Cooke. Zbl 0892.01004
Kolmogorov, A. N.; Yushkevich, A. P.
2
1998
Elements of the theory of functions and functional analysis. 3rd ed. 3ème éd. (Éléments de la théorie des fonctions et de l’analyse fonctionnelle. 3ème éd. Traduit du russe par Michel Dragnev.) Zbl 0932.46001
Kolmogorov, A. N.; Fomin, S. V.
2
1994
Selected works of A. N. Kolmogorov. Volume III: Information theory and the theory of algorithms. Ed. by A. N. Shiryayev. Annotated translation from the Russian. Zbl 0785.01030
Kolmogorov, A. N.
7
1993
Selected works of A. N. Kolmogorov. Volume II: Probability theory and mathematical statistics. Edited by A. N. Shiryayev. Transl. from the Russian by G. Lindquist. Zbl 0743.60005
Kolmogorov, A. N.
15
1992
Mathematics of the 19th century. Mathematical logic, algebra, number theory, probability theory. Transl. from the Russian. Zbl 0749.01016
Kolmogorov, A. N.; Yushkevich, A. P.
1
1992
The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Translated from the Russian by V. Levin. Zbl 1142.76389
Kolmogorov, A. N.
101
1991
Dissipation of energy in the locally isotropic turbulence. Translated from the Russian by V. Levin. Zbl 1142.76390
Kolmogorov, A. N.
34
1991
Selected works of A. N. Kolmogorov. Volume I: Mathematics and mechanics. Ed. by V. M. Tikhomirov. Transl. from the Russian by V. M. Volosov. Zbl 0732.01045
Kolmogorov, A. N.
5
1991
Algorithms, information and complexity. (Algoritm, informatsiya, slozhnost’.) Zbl 0790.01042
Kolmogorov, A. N.
2
1991
Mathematics in its historical development. (Matematika v ee istoricheskom razvitii). Ed. by V. A. Uspenskij. (Matematika v ee istoricheskom razvitii.) Zbl 0752.01034
Kolmogorov, A. N.
1
1991
Probabilistic-statistical methods of detecting spontaneously occurring effects. Zbl 0706.62076
Kolmogorov, A. N.; Prokhorov, Yu. V.; Shiryaev, A. N.
4
1990
Elements of the theory of functions and functional analysis. Textbook. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik). 6th ed., rev. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik.) Zbl 0672.46001
Kolmogorov, A. N.; Fomin, S. V.
81
1989
The theoretical fundamentals of functions and mathematical functional analysis. Transl. from the Russian by Ibrāhīm Maḥmūd Shūshah. Zbl 0761.46001
Kolmogorov, A. N.; Fomin, S. V.
6
1988
Mathematics - science and profession. (Matematika - nauka i professiya). Comp. by G. A. Gal’perin. Zbl 0649.00029
Kolmogorov, A. N.
2
1988
Probabilistic-statistical methods for detection of spontaneously arising effects. Zbl 0657.62113
Kolmogorov, A. N.; Prokhorov, Yu. V.; Shiryaev, A. N.
1
1988
Algorithms and randomness. Zbl 0648.60005
Kolmogorov, A. N.; Uspenskij, V. A.
24
1987
Information theory and the theory of algorithms. With a biography by N. N. Bogolyubov, B. V. Gnedenko and S. L. Sobolev. With commentaries by R. L. Dobrushin, A. Kh. Shen’, V. M. Tikhomirov, Ya. M. Barzdin’, Ya. G. Sinaĭ, V. A. Uspenskiĭ and A. L. Semenov. Compiled by A. N. Shiryaev. Edited by Yu. V. Prokhorov. (Теория информации и теория алгоритмов.) Zbl 0642.94001
Kolmogorov, A. N.
18
1987
Mathematics of the XIXth century. Chebyshev’s direction in function theory. Ordinary differential equations. Variational calculus. Theory of finite differences. (Matematika XIX veka. Chebyshevskoe napravlenie v teorii funktsij. Obyknovennye differentsial’nye uravneniya. Variatsionnoe ischislenie. Teoriya konechnykh raznostej). Zbl 0616.00002
Kolmogorov, A. N.; Yushkevich, A. P.
1
1987
Algorithms and randomness. Zbl 0627.60006
Kolmogorov, A. N.; Uspenskij, V. A.
1
1987
Probability theory and mathematical statistics. Selected works. Edited by Yu. V. Prokhorov. With commentaries. (Теория вероятностей и математическая статистика. Избранные труды.) Zbl 0595.60001
Kolmogorov, A. N.
9
1986
A new metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces. Zbl 0615.28014
Kolmogorov, A. N.
2
1986
Memories of P. S. Aleksandrov. Zbl 0624.01010
Kolmogorov, A. N.
1
1986
Selected works. Mathematics and mechanics. With commentaries by P. L. Ul’yanov, I. I. Parovichenko, V. A. Skvortsov, E. P. Dolzhenko, S. A. Telyakovskiĭ, V. M. Tikhomirov, G. G. Magaril-Il’yaev, E. A. Gorin, Yu. A. Rozanov, V. A. Uspenskiĭ, V. E. Plisko, G. S. Chogoshvili, A. V. Arkhangel’skiĭ, A. V. Mikhalëv, G. I. Barenblatt, A. M. Yaglom and V. I. Arnol’d. Edited by S. M. Nikol’skiĭ. (Избранные труды. Математика и механика.) Zbl 0566.01012
Kolmogorov, A. N.
5
1985
Mathematical logic. Complementary chapters. Textbook. (Matematicheskaya logika. Dopolnitel’nye glavy. Uchebnoe posobie). Zbl 0591.03002
Kolmogorov, A. N.; Dragalin, A. G.
1
1984
Combinatorial foundations of information theory and the calculus of probabilities. Zbl 0597.60002
Kolmogorov, A. N.
32
1983
On logical foundations of probability theory. Zbl 0519.60002
Kolmogorov, A. N.
8
1983
Introduction to mathematical logic. Textbook. (Vvedenie v matematicheskuyu logiku. Uchebnoe posobie). Zbl 0591.03001
Kolmogorov, A. N.; Dragalin, A. G.
5
1982
On tables of random numbers. Zbl 0484.60004
Kolmogorov, A. N.
2
1982
Elements of the theory of functions and functional analysis. (Elementos da teoria das funcoes e de analise funcional). Transl. from the Russian by M. Dombrovsky. Zbl 0501.46001
Kolmogorov, A. N.; Fomin, S. V.
1
1982
Elements of the theory of functions and functional analysis. (Ehlementy teorii funktsij i funktsional’nogo analiza). 5th ed. With a supplement ”Banach algebras” by V. M. Tikhomirov. Zbl 0501.46002
Kolmogorov, A. N.; Fomin, S. V.
119
1981
In memory of Anatolij Illarionovich Shirshov. Zbl 0468.01012
Bokut’, L. A.; Ershov, Yu. L.; Kolmogorov, A. N.; Kostrikin, A. I.; Kuz’min, E. N.; Latyshev, V. N.; Sobolev, S. L.; Shestakov, I. P.
2
1981
Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. Zbl 0483.53001
Kolmogorov, A. N.; Novikov, S. P.
2
1980
Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005
Volevich, L. R.; Voskresenskiĭ, G. P.; Zabrodin, A. V.; Kolmogorov, A. N.; Oleĭnik, O. A.; Tikhomirov, V. M.
1
1980
Preservation of conditionally periodic movements with small change in the Hamilton function. Zbl 0441.70018
Kolmogorov, A. N.
6
1979
Reelle Funktionen und Funktionalanalysis. Mit einem Anhang ’Banachsche Algebren’ von V. M. Tichomirov. Übersetzung aus dem Russischen von D. Freitag, H. Palme und B. Stöckert. Wissenschaftliche Redaktion: H. Triebel. Zbl 0299.46002
Kolmogorov, A. N.; Fomin, S. V.
6
1975
Grundbegriffe der Wahrscheinlichkeitsrechnung. (Osnovnye ponyatiya teorii veroyatnostej.) 2. Aufl. Zbl 0278.60002
Kolmogorov, A. N.
22
1974
Éléments de la théorie des fonctions et de l’analyse fonctionnelle. Avec un complement ’Algèbres de Banach’ par V. M. Tikhomirov. Traduit du russe par Michel Dragnev. Zbl 0299.46001
Kolmogorov, A.; Fomine, S.
17
1974
Grundbegriffe der Wahrscheinlichkeitsrechnung. Reprint der Erstaufl. Berlin 1933. Zbl 0278.60001
Kolmogoroff, A.
1
1973
Elements of the theory of functions and functional analysis. 3rd rev. ed. (Ѐлементы теории функций и функционального анализа.) Zbl 0235.46001
Kolmogorov, A. N.; Fomin, S. V.
405
1972
Qualitative Untersuchung mathematischer Modelle der Dynamik von Populationen. Zbl 0265.92008
Kolmogorov, A. N.
3
1972
Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007
Berezanskiĭ, Yu. M.; Kolmogorov, A. N.; Krein, M. G.; Levin, B. Ya.; Levitan, B. M.; Marchenko, V. A.
1
1971
Introductory real analysis. Transl. and ed. by Richard A. Silverman. Zbl 0213.07305
Kolmogorov, A. N.; Fomin, S. V.
215
1970
Logical basis of information theory and probability theory. Zbl 0265.94010
Kolmogorov, A. N.
4
1969
Logical basis for information theory and probability theory. Zbl 0167.47601
Kolmogorov, A. N.
60
1968
Three approaches to the quantitative definition of information. Zbl 0172.42701
Kolmogorov, A. N.
35
1968
Three approaches to the definition of the concept of the ‘amount of information’. Zbl 0214.46902
Kolmogorov, A. N.
3
1968
Elemente der Theorie der Funktionen und der Funktionalanalysis. 2., überarb. und erg. Aufl. Zbl 0167.42101
Kolmogorov, A. N.; Fomin, S. V.
2
1968
Lokale Struktur der Turbulenz in einer inkompressiblen zähen Flüssigkeit bei sehr großen Reynoldszahlen. Zbl 0213.54501
Kolmogorov, A. N.
2
1967
Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404
Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V.
2
1966
P.S.Aleksandrov and the theory of \(\delta s\)-operations. Zbl 0163.25004
Kolmogorov, A. N.
1
1966
Three approaches to the definition of information. Zbl 0271.94018
Kolmogorov, A. N.
211
1965
Izrail’ Moiseevich Gel’fand. (On his fiftieth birthday.). Zbl 0125.00413
Vishik, M. I.; Kolmogorov, A. N.; Fomin, S. V.; Shilov, G. E.
1
1964
On tables of random numbers. Zbl 0126.33203
Kolmogorov, A.
30
1963
On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition. Zbl 0125.30803
Kolmogorov, A. N.
29
1963
Theory of transmission of information. Zbl 0141.16801
Kolmogorov, A. N.
18
1963
On the approximation of distributions of sums of independent summands by infinitely divisible distributions. Zbl 0129.31104
Kolmogorov, A. N.
8
1963
On the definition of an algorithm. Zbl 0128.01302
Kolmogorov, A. N.; Uspenskij, V. A.
4
1963
On the approximation of distributions of sums of independent summands by infinitely divisible distributions. Zbl 0203.19201
Kolmogorov, A. N.
4
1963
Various approaches to estimating the difficulty of approximate definition and computation of functions. Zbl 0127.08602
Kolmogorov, A. N.
2
1963
Mathematics. Its content, methods and meaning. Part 1: A general view of mathematics. Analysis. Part 2: Analytic geometry. Algebra (theory of the algebraic equation). Ordinary differential equations. Part 3: Partial differential equations. Curves and surfaces. Calculus of variations. Functions of a complex variable. Part 4: Prime numbers. Theory of probability. Approximation of functions. Approximation methods and numerical techniques. Electronic digital computers. Part 5: Theory of functions of a real variable. Linear algebra. Abstract spaces. Part 6: Topology. Functional analysis. Groups and other algebraic systems. Zbl 0111.00103
Aleksandrov, A. D.; Kolmogorov, A. N.; Lavrent’ev, M. A.
1
1963
A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. Zbl 0112.42003
Kolmogorov, A. N.
307
1962
Evaluation of the parameters of a complex stationary Gauss-Markov process. Zbl 0136.40702
Arato, M.; Kolmogorov, A. N.; Sinai, Ya. G.
7
1962
A local limit theorem for Markov chains. Zbl 0111.33302
Kolmogorov, A. N.
3
1962
A probability problem of optimal control. Zbl 0124.33803
Kolmogorov, A. N.; Mishchenko, E. F.; Pontryagin, L. S.
1
1962
Elements of the theory of functions and functional analysis. Vol. 2: Measure. The Lebesgue integral. Hilbert space. Transl. from the first (1960) Russian ed. by Hyman Kamel and Korace Komm. Zbl 0103.08801
Kolmogorov, A. N.; Fomin, S. V.
79
1961
On strong mixing conditions for stationary Gaussian processes. Zbl 0106.12005
Kolmogorov, A. N.; Rozanov, Yu. A.
74
1961
Elements of the theory of functions and of functional analysis. II: Measure, Lebesgue integral, Hilbert space. (Ѐлементы теории функций и функционального анализа. Выпуск. II: Мера, интеграл Лебеча, Гильбертого пространство) (Elemente der Funktionentheorie und der Funktionalanalysis. Band II: Maß, Lebesguesches Integral, Hilbertscher Raum.) Zbl 0090.08702
Kolmogorov, A. N.; Fomin, S. V.
72
1960
On a strong mixing condition for stationary random Gaussian processes. Zbl 0091.30001
Kolmogorov, A. N.; Rozanov, Yu. A.
29
1960
Aleksandr Yakovlevich Khinchin (1894–1959). Obituary. Zbl 0091.00611
Gnedenko, B. V.; Kolmogorov, A. N.
1
1960
Arbeiten zur Informationstheorie. III: \(\varepsilon\)-Entropie und \(\varepsilon\)-Kapazität von Mengen und Funktionalräumen. Zbl 0098.32301
Kolmogoroff, A. N.; Tichomirow, W. M.
1
1960
\(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503
Kolmogorov, A. N.; Tikhomirov, V. M.
125
1959
\(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703
Kolmogorov, A. N.; Tikhomirov, V. M.
62
1959
Entropy per unit time as a metric invariant of automorphisms. Zbl 0086.10101
Kolmogorov, A. N.
53
1959
Grenzverteilungen von Summen unabhängiger Zufallsgrößen. Zbl 0088.10302
Gnedenko, B. W.; Kolmogorov, A. N.
23
1959
A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces. Zbl 0083.10602
Kolmogorov, A. N.
152
1958
Sur les propriétés des fonctions de concentrations de M. P. Levy. Zbl 0105.11804
Kolmogorov, A.
17
1958
On the definition of an algorithm. Zbl 0090.01101
Kolmogorov, A. N.; Uspenskiĭ, V. A.
12
1958
On linear dimensionality of topological vector spaces. Zbl 0080.31203
Kolmogorov, A. N.
10
1958
Arbeiten zur Informationstheorie. II. Zbl 0098.10902
Gelfand, I. M.; Jaglom, A. M.; Kolmogoroff, A. N.; Chiang, Tse-Pei; Zaregradski, I. P.
1
1958
On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition. Zbl 0090.27103
Kolmogorov, A. N.
76
1957
Two uniform limit theorems for sums of independent random variables. Zbl 0079.34502
Kolmogorov, A. N.
21
1957
General theory of dynamical systems and classical mechanics. (Общая теория динамических систем и классическая механика) (Théorie générale des systèmes dynamiques et mécanique classique.) Zbl 0095.17103
Kolmogorov, A. N.
4
1957
Papers on information theory. I. (Arbeiten zur Informationstheorie. I.) Zbl 0083.14302
Khinchin, A. Ya.; Faddeev, D. K.; Kolmogorov, A. N.; Rényi, Alfréd; Balatoni, J.
2
1957
Foundations of the theory of probability. 2nd English ed. Zbl 0074.12202
Kolmogorov, A. N.
193
1956
On certain asymptotic characteristics of completely bounded metric spaces. Zbl 0070.11501
Kolmogorov, A. N.
36
1956
On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables. Zbl 0070.28301
Kolmogorov, A. N.
24
1956
On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables. Zbl 0128.27803
Kolmogorov, A. N.
13
1956
On Skorokhod convergence. Zbl 0074.34102
Kolmogorov, A. N.
12
1956
On a general definition of an amount of information. Zbl 0071.34505
Gel’fand, I. M.; Kolmogorov, A. N.; Yaglom, A. M.
6
1956
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16 Automation and Remote Control
16 Bulletin of the American Mathematical Society. New Series
16 Foundations of Physics
15 Advances in Applied Probability
15 Computer Methods in Applied Mechanics and Engineering
15 Nonlinearity
15 Kybernetika
15 Studia Logica
15 Acta Mathematica Hungarica
15 Communications in Statistics. Theory and Methods
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Functional Analysis and its Applications
14 Journal of Applied Probability
14 Journal of Nonlinear Science
...and 632 more Serials
all top 5

Cited in 62 Fields

1,503 Probability theory and stochastic processes (60-XX)
709 Partial differential equations (35-XX)
600 Fluid mechanics (76-XX)
595 Statistics (62-XX)
462 Dynamical systems and ergodic theory (37-XX)
368 Computer science (68-XX)
298 Numerical analysis (65-XX)
293 Functional analysis (46-XX)
285 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
280 Biology and other natural sciences (92-XX)
275 Ordinary differential equations (34-XX)
264 Harmonic analysis on Euclidean spaces (42-XX)
231 Mathematical logic and foundations (03-XX)
221 Approximations and expansions (41-XX)
218 Operator theory (47-XX)
212 Statistical mechanics, structure of matter (82-XX)
202 Measure and integration (28-XX)
192 Information and communication theory, circuits (94-XX)
190 Quantum theory (81-XX)
187 Systems theory; control (93-XX)
162 Real functions (26-XX)
156 Mechanics of particles and systems (70-XX)
128 Calculus of variations and optimal control; optimization (49-XX)
115 General topology (54-XX)
111 Operations research, mathematical programming (90-XX)
101 Integral equations (45-XX)
84 History and biography (01-XX)
73 Mechanics of deformable solids (74-XX)
67 Functions of a complex variable (30-XX)
60 Number theory (11-XX)
59 Combinatorics (05-XX)
58 Difference and functional equations (39-XX)
54 Global analysis, analysis on manifolds (58-XX)
49 Differential geometry (53-XX)
49 Geophysics (86-XX)
43 Order, lattices, ordered algebraic structures (06-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
38 Abstract harmonic analysis (43-XX)
32 General and overarching topics; collections (00-XX)
32 Classical thermodynamics, heat transfer (80-XX)
31 Convex and discrete geometry (52-XX)
30 Topological groups, Lie groups (22-XX)
25 Special functions (33-XX)
25 Relativity and gravitational theory (83-XX)
24 Optics, electromagnetic theory (78-XX)
21 Geometry (51-XX)
20 Group theory and generalizations (20-XX)
18 Potential theory (31-XX)
17 Several complex variables and analytic spaces (32-XX)
17 Integral transforms, operational calculus (44-XX)
16 Manifolds and cell complexes (57-XX)
15 Associative rings and algebras (16-XX)
14 Sequences, series, summability (40-XX)
13 Category theory; homological algebra (18-XX)
10 General algebraic systems (08-XX)
10 Algebraic topology (55-XX)
9 Astronomy and astrophysics (85-XX)
8 Nonassociative rings and algebras (17-XX)
6 Algebraic geometry (14-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
2 \(K\)-theory (19-XX)

Citations by Year

Wikidata Timeline

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