Edit Profile (opens in new tab) Kolmogorov, Andreĭ Nikolaevich (b. 1903 d. 1987) Co-Author Distance Author ID: kolmogorov.andrei-nikolaevich Published as: Kolmogorov, A. N.; Kolmogoroff, A.; Kolmogorov, A.; Kolmogoroff, A. N.; Kolmogoroff, André; Kolmogorov, Andrei N.; Kolmogorov, Andrey Nikolaievich; Kolmogorov, Andreĭ Nikolaevich; Kolmogorov, Andreĭ N.; Kolmogorov, Andrej N.; Kolmogorov, Andrey N.; Kolmogoroff, Andrej; Kolmogoroff, A. A.; Kolmogoroff more...less Further Spellings: Колмогоров Андрей Николаевич External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (1980) Documents Indexed: 385 Publications since 1923, including 52 Books 20 Contributions as Editor · 9 Further Contributions Reviewing Activity: 36 Reviews Biographic References: 110 Publications Co-Authors: 146 Co-Authors with 182 Joint Publications 4,099 Co-Co-Authors all top 5 Co-Authors 224 single-authored 32 Aleksandrov, Pavel Sergeevich 21 Gnedenko, Boris Vladimirovich 17 Fomin, Sergeĭ Vasil’evich 16 Yushkevich, Adol’f Pavlovich 14 Oleĭnik, Ol’ga Arsen’evna 13 Tikhomirov, Vladimir Mikhaĭlovich 12 Gel’fand, Israil’ Moiseevich 11 Prokhorov, Yuriĭ Vasil’evich 11 Shiryaev, Al’bert Nikolaevich 9 Lavrent’ev, Mikhail Alekseevich 9 Novikov, Sergeĭ Petrovich 7 Arnol’d, Vladimir Igorevich 7 Sinaĭ, Yakov Grigor’evich 6 Bogolyubov, Nikolaĭ Nikolaevich 6 Sobolev, Sergeĭ L’vovich 5 Khinchin, Aleksandr Yakovlevich 5 Markushevich, Alekseĭ Ivanovich 5 Uspenskiĭ, Vladimir Andreevich 5 Vishik, Marko Iosifovich 4 Aleksandrov, Aleksandr Danilovich 4 Bashmakova, Izabella Grigor’evna 4 Belyaev, Yuriĭ Konstantinovich 4 Demidov, Sergeĭ Sergeevich 4 Dzyadyk, Vladyslav Kyrylovych 4 Kreĭn, Mark Grigor’evich 4 Kudryavtsev, Lev Dmitrievich 4 Levin, Boris Yakovlevich 4 Levitan, Boris Moiseevich 4 Marchenko, Vladimir Aleksandrovich 4 Markov, Andreĭ Andreevich 4 Parshin, Alekseĭ Nikolaevich 4 Shabat, Boris Vladimirovich 4 Sheynin, Oscar B. 4 Ul’yanov, Pëtr Lavrent’evich 4 Yaglom, Akiva Moiseevich 3 Akhiezer, Naum Il’ich 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Bernshteĭn, Sergeĭ Natanovich 3 Chuprov, Aleksandr Aleksandrovich 3 Faddeev, Dmitriĭ Konstantinovich 3 Goncharov, Vasiliĭ Leonidovich 3 Grigor’yan, Ashot Tigranovich 3 Linnik, Yuriĭ Vladimirovich 3 Lyusternik, Lazar’ Aronovich 3 Medvedev, Fëdor Andreevich 3 Men’shov, Dmitriĭ Evgen’evich 3 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 3 Petrovskiĭ, Ivan Georgievich 3 Sarmanov, O. V. 3 Solov’ev, Alexander D. 3 Vercenko, J. 3 Zhurbenko, Igor G. 2 Anosov, Dmitriĭ Viktorovich 2 Azlarov, Tursun Abdurakhimovich 2 Bernoulli, Jacob I 2 Bharucha-Reid, Albert Turner 2 Bokut, Leonid A. 2 Bulinskiĭ, Aleksandr Vadimovich 2 Ditkin, Vitaliĭ Arsen’evich 2 Dragalin, Albert G. 2 Efimov, Nikolaĭ Vladimirovich 2 Egorov, Yuriĭ Vladimirovich 2 Ershov, Yuriĭ Leonidovich 2 Faddeev, Lyudvig Dmitrievich 2 Feller, William 2 Fuchs, Dmitry Borisovich 2 Gavurin, Mark Konstantinovich 2 Gikhman, Ĭosyp Illich 2 Gindikin, Simon Grigorevich 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 Lokutsievskij, O. V. 2 Lupanov, Oleg Borisovich 2 Lyubich, Yuriĭ Il’ich 2 Maikov, E. V. 2 Makarov, Valeriĭ Leonidovich 2 Marchuk, Guriĭ Ivanovich 2 Maslov, Viktor Pavlovich 2 Mityagin, Boris Samuilovich 2 Orlov, V. B. 2 Osipov, Yuriĭ Sergeevich 2 Ostrovskiĭ, Iosif Vladimirovich 2 Palamodov, Victor Pavlovitch 2 Petrova, Svetlana Sergeevna 2 Pinsker, Aron Grigor’evich 2 Piskunov, Nikolaĭ Semenovich 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 ...and 99 more Co-Authors all top 5 Serials 51 Uspekhi Matematicheskikh Nauk [N. S.] 39 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 Selected Translations in Mathematical Statistics and Probability 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 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 Bibliotechka “Kvant” 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 Revue d’Histoire des Sciences 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 Lecture Notes in Biomathematics 1 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 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 1 Hochschulbücher für Mathematik all top 5 Fields 139 History and biography (01-XX) 43 Probability theory and stochastic processes (60-XX) 28 General and overarching topics; collections (00-XX) 16 Statistics (62-XX) 15 Measure and integration (28-XX) 14 Functional analysis (46-XX) 13 Information and communication theory, circuits (94-XX) 11 Mathematical logic and foundations (03-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 8 Fluid mechanics (76-XX) 6 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 3 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 241 Publications have been cited 8,386 times in 7,541 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. 739 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. 421 1972 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. 406 1937 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. 360 1962 On the preservation of conditionally periodic motions under small variations of the Hamilton function. Zbl 0056.31502 Kolmogorov, A. N. 255 1954 Three approaches to the definition of information. Zbl 0271.94018 Kolmogorov, A. N. 251 1965 Introductory real analysis. Transl. and ed. by Richard A. Silverman. Zbl 0213.07305 Kolmogorov, A. N.; Fomin, S. V. 250 1970 A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces. Zbl 0083.10602 Kolmogorov, A. N. 218 1958 Foundations of the theory of probability. 2nd English ed. Zbl 0074.12202 Kolmogorov, A. N. 214 1956 The local structure of turbulence in incompressible viscous fluid for very large Reynolds’ numbers. JFM 67.0850.06 Kolmogoroff, A. 204 1941 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0090.33503 Kolmogorov, A. N.; Tikhomirov, V. M. 170 1959 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. 165 1991 Dissipation of energy in the locally isotropic turbulence. Zbl 0063.03292 Kolmogorov, A. N. 164 1941 Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. JFM 66.0552.03 Kolmogoroff, A. N. 162 1940 Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Zbl 0001.14902 Kolmogoroff, A. 157 1931 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. 146 1981 Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.). Zbl 0008.39906 Kolmogoroff, A. 135 1934 Sulla determinazione empirica di una legge di distribuzione. Zbl 0006.17402 Kolmogoroff, A. 116 1933 Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. Zbl 0013.34903 Kolmogoroff, A. 112 1936 Grundbegriffe der Wahrscheinlichkeitsrechnung. Zbl 0007.21601 Kolmogoroff, A. 107 1933 Sur la notion de la moyenne. JFM 56.0198.02 Kolmogoroff, A. 104 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. 99 1957 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. 96 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. 92 1961 On strong mixing conditions for stationary Gaussian processes. Zbl 0106.12005 Kolmogorov, A. N.; Rozanov, Yu. A. 91 1961 Stationary sequences in Hilbert’s space. Zbl 0063.03291 Kolmogorov, A. N. 84 1941 Über das Gesetz des iterierten Logarithmus. JFM 55.0298.01 Kolmogoroff, A. 78 1929 Grundbegriffe der Wahrscheinlichkeitsrechnung. JFM 59.1152.03 Kolmogoroff, A. 77 1933 Entropy per unit time as a metric invariant of automorphisms. Zbl 0086.10101 Kolmogorov, A. N. 77 1959 \(\varepsilon\)-entropy and \(\varepsilon\)-capacity of sets in function spaces. Zbl 0133.06703 Kolmogorov, A. N.; Tikhomirov, V. M. 77 1959 Logical basis for information theory and probability theory. Zbl 0167.47601 Kolmogorov, A. N. 77 1968 Über dynamische Systeme mit einer Integralinvariante auf dem Torus. Zbl 0052.31904 Kolmogorov, A. N. 72 1953 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. 71 1960 Dissipation of energy in the locally isotropic turbulence. Translated from the Russian by V. Levin. Zbl 1142.76390 Kolmogorov, A. N. 69 1991 Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse. JFM 62.0283.02 Kolmogoroff, A. 68 1936 Sulla teoria di Volterra della lotta per l’esistenza. JFM 62.1263.01 Kolmogoroff, A. 66 1936 Sulla determinazione empirica di una legge di distribuzione. JFM 59.1166.03 Kolmogoroff, A. 64 1933 Untersuchungen über den Integralbegriff. JFM 56.0923.01 Kolmogoroff, A. 62 1930 Une série de Fourier-Lebesgue divergente presque partout. JFM 49.0205.02 Kolmogoroff, A. 58 1923 Zur Umkehrbarkeit der statistischen Naturgesetze. Zbl 0015.26004 Kolmogoroff, A. 58 1937 The local structure of turbulence in incompressible viscous fluid for every large Reynold’s numbers. Zbl 0025.37602 Kolmogoroff, A. 57 1941 On degeneration of isotropic turbulence in an incompressible viscous liquid. Zbl 0026.17001 Kolmogoroff, A. N. 55 1941 Wienersche Spiralen und einige andere interessante Kurven im Hilbertsche Raum. Zbl 0022.36001 Kolmogoroff, A. N. 52 1940 Zur Deutung der intuitionistischen Logik. Zbl 0004.00201 Kolmogoroff, A. 48 1932 Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung. JFM 59.1154.01 Kolmogorov, A. 45 1933 Three approaches to the quantitative definition of information. Zbl 0172.42701 Kolmogorov, A. N. 45 1968 Une série de Fourier-Lebesgue divergente partout. JFM 52.0269.02 Kolmogoroff 43 1926 Combinatorial foundations of information theory and the calculus of probabilities. Zbl 0597.60002 Kolmogorov, A. N. 43 1983 On tables of random numbers. Zbl 0126.33203 Kolmogorov, A. 41 1963 On certain asymptotic characteristics of completely bounded metric spaces. Zbl 0070.11501 Kolmogorov, A. N. 40 1956 Über die Summen durch den Zufall bestimmter unabhängiger Größen. JFM 54.0543.05 Kolmogoroff, A. 39 1928 On rings of continuous functions on topological spaces. JFM 65.0500.03 Gelfand, I.; Kolmogoroff, A. 38 1939 Sur les fonctions harmoniques conjuguées et les séries de Fourier. JFM 51.0216.04 Kolmogoroff, A. 38 1925 Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. JFM 57.0613.03 Kolmogoroff, A. 37 1931 An introduction to probability theory and its applications. Vol. I. Translation from the English by R. L. Dobrushin, A. A. Yushkevich und S. A. Molchanov. With a preface by A. N. Kolmogorov. 2nd ed. (Введение в теорию вероятностей ее приложения. Том 1.) Zbl 0115.35308 Feller, W. 37 1964 Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen. Zbl 0011.34503 Kolmogoroff, A. 37 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. 37 1948 Über die Grenzwertsätze der Wahrscheinlichkeitsrechnung. Zbl 0006.35802 Kolmogorov, A. 35 1933 Zufällige Bewegungen. JFM 60.1159.01 Kolmogoroff, A. 34 1934 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. 34 1963 On a strong mixing condition for stationary random Gaussian processes. Zbl 0091.30001 Kolmogorov, A. N.; Rozanov, Yu. A. 33 1960 Foundations of the theory of probability. - Translated by N. Morrison. Zbl 0037.08101 Kolmogoroff, A. 33 1950 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. 30 1956 Zur Theorie der stetigen zufälligen Prozesse. Zbl 0007.02201 Kolmogoroff, A. 28 1933 Algorithms and randomness. Zbl 0648.60005 Kolmogorov, A. N.; Uspenskij, V. A. 27 1987 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. 27 1974 Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden. JFM 52.0212.03 Khintchine, A.; Kolmogoroff, A. 26 1925 Sulla teoria di Volterra della lotta per l’esistenza. Zbl 0013.31404 Kolmogoroff, A. 26 1936 Two uniform limit theorems for sums of independent random variables. Zbl 0079.34502 Kolmogorov, A. N. 25 1957 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. 25 1992 Grenzverteilungen von Summen unabhängiger Zufallsgrößen. Zbl 0088.10302 Gnedenko, B. W.; Kolmogorov, A. N. 24 1959 Zur Theorie der Markoffschen Ketten. Zbl 0012.41001 Kolmogoroff, A. 24 1935 Grundbegriffe der Wahrscheinlichkeitsrechnung. (Osnovnye ponyatiya teorii veroyatnostej.) 2. Aufl. Zbl 0278.60002 Kolmogorov, A. N. 24 1974 Sur la loi forte des grands nombres. JFM 56.0445.06 Kolmogoroff, A. 23 1930 Confidence limits for an unknown distribution function. Zbl 0060.30514 Kolmogoroff, A. 23 1941 On rings of continuous functions on topological spaces. Zbl 0021.41103 Gelfand, I.; Kolmogoroff, A. 23 1939 Collected works. Vol. I: The constructive theory of functions [1905–1930]. (Собрание сочинений. Том I: Конструктивная теория функций [1905–1930]) (Gesammelte Werke. Band I: Konstruktive Funktionentheorie (1905–1930).) Zbl 0047.07301 Bernshteĭn, S. N. 23 1952 Sur les propriétés des fonctions de concentrations de M. P. Levy. Zbl 0105.11804 Kolmogorov, A. 22 1958 Ergodic Markov processes. Ed. by A. N. Kolmogorov. (Эргодические процессы Маркова.) Zbl 0687.60065 Shurenkov, V. M. 21 1989 Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes. JFM 60.1229.02 Kolmogoroff, A. 21 1934 Zur Lösung einer biologischen Aufgabe. Zbl 0019.35901 Kolmogorov, A. N. 21 1938 Über das Prinzip tertium non datur. JFM 51.0048.01 Kolmogorov, A. N. 20 1925 Über das logarithmisch normale Verteilungsgesetz der Dimensionen der Teilchen bei Zerstückelung. Zbl 0025.19602 Kolmogoroff, A. N. 19 1941 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. 19 1993 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 Zur Deutung der intuitionistischen Logik. JFM 58.0062.02 Kolmogoroff, A. 18 1932 On the definition of an algorithm. Zbl 0090.01101 Kolmogorov, A. N.; Uspenskiĭ, V. A. 18 1958 Theory of transmission of information. Zbl 0141.16801 Kolmogorov, A. N. 18 1963 A formula of Gauss in the theory of least quadrature. Zbl 0029.40501 Kolmogorov, A. N.; Petrov, A. A.; Smirnov, Yu. M. 18 1947 Über Kompaktheit der Funktionenmengen bei der Konvergenz im Mittel. JFM 57.0271.03 Kolmogoroff, A. 17 1931 Über Kompaktheit der Funktionenmengen bei der Konvergenz im Mittel. Zbl 0002.38501 Kolmogoroff, A. 17 1931 Über die Zerstückelung von Tropfen in turbulenter Strömung. Zbl 0034.41601 Kolmogorov, A. N. 17 1949 Zur Begründung der projektiven Geometrie. Zbl 0003.07803 Kolmogoroff, A. 16 1932 Sur la convergence des séries de fonctions orthogonales. JFM 53.0265.04 Kolmogoroff, A.; Menchoff, D. 15 1927 Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes. Zbl 0010.18202 Kolmogoroff, A. 15 1934 The golden age of theoretical ecology: 1923–1940. A collection of works by V. Volterra, V. A. Kostitzin, A. J. Lotka and A. N. Kolmogoroff. Zbl 0372.92002 15 1978 On logical foundations of probability theory. Zbl 0519.60002 Kolmogorov, A. N. 14 1983 Zur Theorie der Markoffschen Ketten. JFM 61.0563.03 Kolmogoroff, A. 14 1935 Une contribution à l’étude de la convergence des séries de Fourier. JFM 50.0206.04 Kolmogoroff, A. 14 1924 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. 14 1956 Selected works III. Information theory and the theory of algorithms. Edited by A. N. Shiryayev. Annotated translation from the Russian. Reprint of the 1993 hardback edition published by Kluwer Academic Publishers. Zbl 1425.01118 Kolmogorov, Andrei N. 1 2019 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 4 2018 Franco-Russian relations in mathematics between the two world wars. (Les relations mathématiques franco-russes entre les deux guerres mondiales.) Zbl 1220.01006 Demidov, Sergej S. 2 2009 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. 2 2007 Selected works. Vol. 4. Mathematics and mathematicians. Book 1. On mathematics. Edited by A. N. Shiryaev. (Избранные труды. Том 4. Математика и математики. Книга 1. О математике.) Zbl 1294.01072 Kolmogorov, A. N. 1 2007 Mathematics. Zbl 1221.01158 Kolmogorov, Andrey Nikolaievich 1 2006 Contemporary debates on the nature of mathematics. Zbl 1237.00014 Kolmogorov, A. N. 1 2006 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 Mathematical models of the turbulent motion of an incompressible viscous fluid. Zbl 1114.76029 Kolmogorov, A. N. 4 2003 On some inequalities connected to the strong law of large numbers. Zbl 1059.60040 Kolmogorov, A. N. 3 2003 From the heritage of A. N. Kolmogorov: The theory of probability. Zbl 1073.60003 Kolmogorov, A. N. 1 2003 Mathematics of the 19th century. Mathematical logic, algebra, number theory, probability theory. 2nd revised ed. Zbl 0963.01044 1 2001 From Daniel Bernoulli to Urlanis. Still more Russian papers on probability and statistics. Selected and translated by Oscar Sheynin. Mikrofiche edition. Zbl 0943.01009 2 2000 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 3 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. 10 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 2 1998 Mathematics of the 19th century. Geometry, analytic function theory. Transl. from the Russian by Roger Cooke. Zbl 0849.01048 1 1996 On the opinions of specialists in cybernetics, literature, philosophy. (Publication and comment of V. M. Tikhomirov). Zbl 0903.01021 Kolmogorov, A. N. 1 1995 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. 19 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. 25 1992 Mathematics of the 19th century. Mathematical logic, algebra, number theory, probability theory. Transl. from the Russian. Zbl 0749.01016 3 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. 165 1991 Dissipation of energy in the locally isotropic turbulence. Translated from the Russian by V. Levin. Zbl 1142.76390 Kolmogorov, A. N. 69 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. 12 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. 96 1989 Ergodic Markov processes. Ed. by A. N. Kolmogorov. (Эргодические процессы Маркова.) Zbl 0687.60065 Shurenkov, V. M. 21 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. 3 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. 27 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 Algorithms and randomness. Zbl 0627.60006 Kolmogorov, A. N.; Uspenskij, V. A. 2 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 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. 12 1986 A new metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces. Zbl 0615.28014 Kolmogorov, A. N. 5 1986 On the law of large numbers. (O zakone bol’shikh chisel). Transl. from the Latin by Ya. V. Uspenskij. With an appendix of the jubillee speech by A. A. Markov, of a preface by A. N. Kolmogorov and of comments. Ed. by Yu. V. Prokhorov. Zbl 0646.01008 Bernoulli, Jacob 4 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. 7 1985 Works on set theory. Transl. by F. A. Medvedev and P. S. Yushkevich. Ed. by A. N. Kolmogorov, and A. P. Yushkevich. (Труды по теории множеств.) Zbl 0591.01027 Cantor, Georg 2 1985 Mathematical logic. Complementary chapters. Textbook. (Matematicheskaya logika. Dopolnitel’nye glavy. Uchebnoe posobie). Zbl 0591.03002 Kolmogorov, A. N.; Dragalin, A. G. 2 1984 Combinatorial foundations of information theory and the calculus of probabilities. Zbl 0597.60002 Kolmogorov, A. N. 43 1983 On logical foundations of probability theory. Zbl 0519.60002 Kolmogorov, A. N. 14 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. 2 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. 146 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 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011 Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolmogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 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 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 Linear sampling estimates of sums. Zbl 0447.62014 Bulinskij, A. V.; Kolmogorov, A. N. 1 1980 Preservation of conditionally periodic movements with small change in the Hamilton function. Zbl 0441.70018 Kolmogorov, A. N. 12 1979 The golden age of theoretical ecology: 1923–1940. A collection of works by V. Volterra, V. A. Kostitzin, A. J. Lotka and A. N. Kolmogoroff. Zbl 0372.92002 15 1978 XIXth century mathematics. Mathematical logic. Algebra. Number theory. Probability theory. Ed. by A. N. Kolmogorov and A. P. Yushkevich. (Математика {XIX} века. Математическая логика. Алгебра. Теория чисел. Теория вероятностей.) Zbl 0523.01001 Bashmakova, I. G.; Gnedenko, B. V.; Kuzicheva, Z. A.; Medvedev, F. A.; Ozhigova, E. P.; Parshin, A. N.; Rudakov, A. N.; Slavutin, E. I.; Sheĭnin, O. B.; Yushkevich, A. P. 3 1978 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 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. 27 1974 Grundbegriffe der Wahrscheinlichkeitsrechnung. (Osnovnye ponyatiya teorii veroyatnostej.) 2. Aufl. Zbl 0278.60002 Kolmogorov, A. N. 24 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. 421 1972 Qualitative Untersuchung mathematischer Modelle der Dynamik von Populationen. Zbl 0265.92008 Kolmogorov, A. N. 5 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. 250 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. 77 1968 Three approaches to the quantitative definition of information. Zbl 0172.42701 Kolmogorov, A. N. 45 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 Über die Realisierung von Netzen im dreidimensionalen Raum. Zbl 0183.01903 Kolmogorov, A. N.; Barzdin’, Ya. M. 2 1967 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. 251 1965 An introduction to probability theory and its applications. Vol. I. Translation from the English by R. L. Dobrushin, A. A. Yushkevich und S. A. Molchanov. With a preface by A. N. Kolmogorov. 2nd ed. (Введение в теорию вероятностей ее приложения. Том 1.) Zbl 0115.35308 Feller, W. 37 1964 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. 41 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. 34 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. 7 1963 Papers on information theory and cybernetics. Translated from the English and edited by R. L. Dobrushin and O. B. Lupanov. With a preface by A. N. Kolmogorov. (Работы по теории информации и кибернетике.) Zbl 0115.13004 Shannon, Claude E. 5 1963 On the approximation of distributions of sums of independent summands by infinitely divisible distributions. Zbl 0203.19201 Kolmogorov, A. N. 4 1963 Approximation to distributions of sums of independent terms by means of infinitely divisible distributions. Zbl 0134.35401 Kolmogorov, A. N. 3 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 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. 360 1962 Evaluation of the parameters of a complex stationary Gauss-Markov process. Zbl 0136.40702 Arato, M.; Kolmogorov, A. N.; Sinai, Ya. G. 12 1962 A local limit theorem for Markov chains. Zbl 0111.33302 Kolmogorov, A. N. 4 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. 92 1961 On strong mixing conditions for stationary Gaussian processes. Zbl 0106.12005 Kolmogorov, A. N.; Rozanov, Yu. A. 91 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. 71 1960 On a strong mixing condition for stationary random Gaussian processes. Zbl 0091.30001 Kolmogorov, A. N.; Rozanov, Yu. A. 33 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 ...and 141 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,399 Authors 39 Khachatryan, Khachatur Aghavardovich 27 Appling, William D. L. 27 Khrennikov, Andreĭ Yur’evich 22 Antonia, Robert Anthony 22 Dvurečenskij, Anatolij 21 Hamel, François 20 Slyusarchuk, Vasyl Yukhimovich 19 Krutitskii, Pavel A. 19 Vitányi, Paul M. B. 17 Djenidi, Lyazid 16 Celletti, Alessandra 16 Eliazar, Iddo I. 15 Kats, Boris Aleksandrovich 15 Li, Yong 15 Llibre, Jaume 14 Meneveau, Charles 14 Pasteczka, Paweł 14 Shen, Alexander 14 Tuna, Hüseyin 13 Allahverdiev, Bilender Paşaoğlu 13 Bogachev, Vladimir Igorevich 13 Hall, Peter Gavin 13 Jørgensen, Palle E. 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