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1041:) and from 1966 to 1973, he served as its director. When the institute was established in 1966, it consisted of three departments: Mathematical Methods in Theoretical Physics (Head: Academician Ostap Parasyuk), Theory of the Nucleus (Head: Oleksandr Davydov), and Theory of Elementary Particles (Albert Tavkhelidze). In 1968, the institute organized the Department of Nuclear Reaction Theory (Head: Oleksiy Sytenko).
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Fundamental works of
Nikolay Bogolyubov were devoted to asymptotic methods of nonlinear mechanics, quantum field theory, statistical field theory, variational calculus, approximation methods in mathematical analysis, equations of mathematical physics, theory of stability, theory of dynamical systems,
686:
Distinctive features of the Kyiv School approach included an emphasis on the computation of solutions (not just a proof of its existence), approximations of periodic solutions, use of the invariant manifolds in the phase space, and applications of a single unified approach to many different problems.
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In 1945, Bogolyubov proved a fundamental theorem on the existence and basic properties of a one-parameter integral manifold for a system of non-linear differential equations. He investigated periodic and quasi-periodic solutions lying on a one-dimensional manifold, thus forming the foundation for a
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in 1921, where they continued to live in poverty as the elder
Nikolay Bogolyubov only found a position as a priest in 1923. After finishing the seven-year school, Bogolyubov independently studied physics and mathematics, and by the age of 14, he was already participating in the seminar of the
1115:
Nikolay
Bogolyubov was married (since 1937) to Evgenia Pirashkova. They had two sons – Pavel and Nikolay (jr). Nikolay Boglyubov (jr) is a theoretical physicist working in the fields of mathematical physics and statistical mechanics. Pavel was a theoretical physicist, Doctor of Physical and
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560:. Mykola received his initial education at home. His father taught him the basics of arithmetic, as well as German, French, and English. At the age of six, he attended the preparatory class of the Kyiv Gymnasium. However, he did not stay long in the gymnasium—during the years of the
659:
Prize in 1930, and the author was awarded the erudite degree of doctor of mathematics. This was the period when the scientific career of the young
Nikolay Bogolyubov began, later producing new scientific trends in modern mathematics, physics, and mechanics.
1550:
the dispersion relations in elementary particle physics. He suggested a new synthesis of the Bohr theory of quasiperiodic functions and developed methods for asymptotic integration of nonlinear differential equations which describe oscillating processes.
663:
Since 1931, Krylov and
Bogolyubov worked together on the problems of nonlinear mechanics and nonlinear oscillations. They were the key figures in the "Kyiv school of nonlinear oscillation research", where their cooperation resulted in the paper
809:, or even a process which is neither deterministic nor stochastic. In other words, he showed that depending on the choice of the time scale for the corresponding approximations the same stochastic process can be regarded as both dynamical and
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1946 Developed a general method for a microscopic derivation of kinetic equations for classical systems. The method was based on the hierarchy of equations for multi-particle distribution functions known now as
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on mathematical problems of nonlinear mechanics and developed mathematical methods for asymptotic integration of non-linear differential equations. He also applied these methods to problems of statistical
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And this can explain, as the authors believe, the need to shape the collection of problems of non-linear perturbation theory into a special science, which could be named NON-LINEAR MECHANICS.
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1160:, and many other students. His method of teaching, based on creation of a warm atmosphere, politeness and kindness, is famous in Russia and is known as the "Bogolyubov approach".
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On 26 January 1953, Nikolay
Bogolyubov became the Head of the Department of Theoretical Physics at MSU, after Anatoly Vlasov decided to leave the position on January 2, 1953.
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870:). While working in the Steklov Institute, Nikolay Bogolyubov and his school contributed to science with many important works including works on renormalization theory,
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N. N. Bogoliubov and N. M. Krylov (1937). "La theorie generalie de la mesure dans son application a l'etude de systemes dynamiques de la mecanique non-lineaire".
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1579:. This theorem in the theory of functions of several complex variables has important implications to the dispersion relations in elementary particle physics.
636:), the highest degree in the Soviet Union, which requires the recipient to have made a significant independent contribution to his or her scientific field.
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In 1956, at the
International Conference on Theoretical Physics in Seattle, USA (September, 1956), he presented the formulation and the first proof of the
734:), most institutes and universities from the western part were evacuated into the eastern regions, far from the battle lines. Nikolay Bogolyubov moved to
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In autumn 1943, Bogolyubov came from evacuation to Moscow and on 1 November 1943 he accepted a position in the
Department of Theoretical Physics at the
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Gold Medal of
Lyapunov (1989) – for his work on sustainability, critical phenomena and phase transitions in the theory of many interacting particles
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for a derivation of kinetic equations, formulated microscopic theory of superfluidity, and made other essential contributions. Later he worked on
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proved the theorem on the finiteness and uniqueness (for renormalizable theories) of the scattering matrix in any order of perturbation theory (
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In 1936, M. M. Bogolyubov was awarded the title of professor, and from 1936 to 1940, he chaired the
Department of Mathematical Physics at
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Vladimirov, V. S.; Zharinov, V. V.; Sergeev, A. G. (1994). "Bogolyubov's "edge of the wedge" theorem, its development and applications".
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and established an analogy between superconductivity and superfluidity phenomena; this contribution was discussed in details in the book
998:. This laboratory, where Nikolay Bogolyubov worked for a long time, has traditionally been the home of the prominent Russian schools in
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and headed the Department of Probability Theory at the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR (now –
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2081:"On Question about Superfluidity Condition in the Nuclear Matter Theory" (in Russian), Doklady Akademii Nauk USSR, 119, 52, 1958.
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703:
576:). From 1919 to 1921, he studied at the Velykokruchanska seven-year school – the only educational institution he graduated from.
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Fokker–Planck equations generated in perturbation theory by a method based on the spectral properties of a perturbed Hamiltonian
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2087:"On Compensation Principle in the Method of Selfconformed Field" (in Russian), Uspekhi Fizicheskhih Nauk, 67, N4, 549, 1959.
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extended this method to the derivation of kinetic equations for quantum systems on the basis of the quantum BBGKY hierarchy.
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two works on equilibrium and non-equilibrium statistical mechanics which became the essence of his fundamental monograph
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This early period of Bogolyubov's work in science was concerned with such mathematical problems as direct methods of the
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813:, and in the general case as a non-Markov process. This work was the first to introduce the notion of time hierarchy in
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1994:
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939:) of the Academy of Sciences of the Ukrainian SSR and in full member of the Academy of Sciences of the USSR in 1953.
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Levitan, B. M. (1994). "On the work of Nikolai Nikolaevich Bogolyubov in the theory of almost periodic functions".
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862:. In 1969, the Department of Theoretical Physics was separated into the Departments of Mathematical Physics (Head
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which then became the key concept in all further development of the statistical theory of irreversible processes.
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2084:"On One Variational Principle in Many Body Problem" (in Russian), Doklady Akademii Nauk USSR, 119, N2, 244, 1959.
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Mathematical Sciences, senior researcher, and head of the sector at the Laboratory of Theoretical Physics of the
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was used to show that depending on a specific approximation time scale the evolution of the system can be either
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In 1939, he was elected a corresponding member of the Academy of Sciences of the Ukrainian SSR (since 1994 –
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of the Academy of Sciences of the Ukrainian SSR (now – Bogolyubov Institute for Theoretical Physics of the
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2090:"The Quasi-averages in Problems of Statistical Mechanics" (in Russian), Preprint D-781, JINR, Dubna, 1961.
1018:
In the post-war years, M. M. Bogolyubov worked as the dean of the Faculty of Mechanics and Mathematics at
858:
In 1947, Nikolay Bogolyubov organized and became the Head of the Department of Theoretical Physics at the
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point of view, the key achievement of the Kyiv School was the development by Krylov and Bogolyubov of the
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N. M. Krylov and N. N. Bogolyubov, New methods in non-linear mechanics, ONTI GTTI, Moscow-Leningrad, 1934
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N. Bogolubov, B. Struminsky, A. Tavkhelidze. On composite models in the theory of elementary particles.
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20:
706:). In 1940, after the reunification of Northern Bukovyna with Ukraine, Nikolay Bogolyubov was sent to
672:(1937; translated to English in 1947) leading to a creation of a large field of non-linear mechanics.
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902:
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2745:; et al. (1969). "Nikolai Nikolaevich Bogolyubov (on the occasion of his sixtieth birthday)".
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and Yu. V. Blagoveshchensky, and in probability theory and mathematical statistics, I. I. Gikhman.
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Bogoliubov, N. N. (1948). "Equations of Hydrodynamics in Statistical Mechanics" (in Ukrainian)".
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1010:, and nonlinear mechanics. Nikolay Bogolyubov was Director of the JINR in the period 1966–1988.
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1546:, obtained important results in quantum electrodynamics, and investigated on the basis of the
655:. This earlier research had already earned him recognition. One of his essays was awarded the
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1467:) for scientists with outstanding contribution to theoretical physics and applied mathematics
1451:) for scientists with outstanding contribution to theoretical physics and applied mathematics
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In the period 1943–1946, Bogolyubov's research was essentially concerned with the theory of
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Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine
2093:"On the Hydrodynamics of a Superfluiding" (in Russian), Preprint P-1395, JINR, Dubna, 1963.
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1305:
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Gold Medal Lavrent'ev (1983) – for his work "On stochastic processes in dynamical systems"
8:
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Zav'yalov, O. I. (1994). "Bogolyubov's R-operation and the Bogolyubov-Parasyuk theorem".
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of Nikolay Bogolyubov's birth was celebrated with two conferences in Russia and Ukraine:
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Commemorative plaque at the entrance of the Physics Department of Moscow State University
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In 1924, at the age of 15, Nikolay Bogolyubov wrote his first published scientific paper
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Nikolay Mikhaylovich Bogolyubov, and Olga Nikolayevna Bogolyubova, a teacher of music.
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in the Steklov Mathematical Institute, Moscow, Russia (created by Nikolay Bogolyubov).
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2954:(1994). "On the contribution of N.N. Bogolyubov to the theory of dynamical systems".
2943:
2879:
2850:; Vladimirov, V. S. (1989). "Nikolai Nikolaevich Bogolyubov (on his 80th birthday)".
2817:; et al. (1979). "Nikolai Nikolaevich Bogolyubov (on his seventieth birthday)".
2785:; et al. (1979). "Nikolai Nikolaevich Bogolyubov (on his seventieth birthday)".
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2681:(1959). "Nikolai Nikolaevich Bogolyubov (on the occasion of his fiftieth birthday)".
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2013:
1998:
1990:
1968:
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International Bogolyubov Conference: Problems of Theoretical and Mathematical Physics
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2890:; et al. (1989). "Nikolai Nikolaevich Bogolyubov (on his eightieth birthday)".
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Lectures on Quantum Statistics. Problems of Statistical Mechanics of Quantum Systems
1638:, and used this analogy for a theoretical description of superfluidity of Helium II.
913:), and obtained other significant results. In the 1960s his attention turned to the
620:, equivalent to a Ph.D.) in 1928, at the age of 19, with the doctoral thesis titled
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Bogolyubov Kyiv Conference: Modern Problems of Theoretical and Mathematical Physics
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to organize mathematical departments at the Faculty of Physics and Mathematics of
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N. N. Bogoliubov, K. P. Gurov (1947). "Kinetic Equations in Quantum Mechanics".
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In 1932–1943, in the early stage of his career, he worked in collaboration with
3213:
2919:
2713:; et al. (1970). "Nikolai Nikolaevich Bogolyubov (On his 60th birthday)".
2710:
2586:"Uber die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder"
2542:
N. N. Bogoliubov (1958). "On a New Method in the Theory of Superconductivity".
1937:
1910:
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Nikolay Bogolyubov received various high USSR honors and international awards.
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746:, remaining on these positions during the period of July 1941 – August 1943.
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260:
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2370:
1034:
766:). Theoretical physicists working in the department in that period included
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The role of Nikolay Bogoliubov in Dubna's Russian Orthodox Christian church
2258:"Outstanding Figures of Ukraine. Mykola Mykolayovych Bogolyubov. Biography"
1733:
1620:
1419:
Institutions, awards and locations have been named in Bogolyubov's memory:
1308:(1985) – for outstanding achievement in mathematics and theoretical physics
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925:
810:
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633:
594:
460:
227:
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2991:
Boglyubov, Nikolay (1994). "N. N. Bogolyubov and statistical mechanics".
2276:
2173:
1635:
1190:
936:
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In 1946, Nikolay Bogolyubov was elected as a Corresponding Member of the
602:
On the behavior of solutions of linear differential equations at infinity
360:
308:
1739:
Suggested a first proof of dispersion relations in quantum field theory.
1542:
He built a new theory of scattering matrices, formulated the concept of
951:
3230:
2602:
2585:
2407:
1705:) for a practical subtraction of singularities in quantum field theory.
882:
794:
707:
535:
531:
133:
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Samoilenko, A. M. (1994). "N.N. Bogolyubov and non-linear mechanics".
1732:
model and introduced a new quantum degree of freedom (later called as
738:, where he became Head of the Departments of Mathematical Analysis at
666:
On the quasiperiodic solutions of the equations of nonlinear mechanics
3139:
Medvedev, B. V. (1994). "N.N. Bogolyubov and the scattering matrix".
2010:
Selected Works. Part II. Quantum and Classical Statistical Mechanics.
1502:
604:. In 1925 he entered Ph.D. program at the Academy of Sciences of the
169:
2399:
1955:
N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, I. T. Todorov (1990):
1423:
N.N. Bogolyubov Institute for Theoretical Problems of Microphysics (
1054:
1033:
In the first half of the 1960s, Bogolyubov worked on organizing the
31:
2922:; et al. (1992). "Nikolai Nikolaevich Bogolyubov (obituary)".
2346:
2025:
Selected Works. Part III. Nonlinear Mechanics and Pure Mathematics.
1634:, showed that this spectrum has the same properties as spectrum of
1631:
875:
608:
under the supervision of the well-known contemporary mathematician
527:
523:
3488:
Academic staff of the Taras Shevchenko National University of Kyiv
2283:(Joint Institute for Nuclear Research). Retrieved 8 January 2012.
2385:
1509:
573:
550:
464:
231:
141:
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In the late 1940s and 1950s, Bogolyubov worked on the theory of
2296:
918:
866:), of Statistical Mechanics, and of Quantum Field Theory (Head
850:
542:
519:
468:
212:
3388:
Directors of the Bogolyubov Institute for Theoretical Physics
3308:
Bogolyubov Institute for Theoretical Problems of Microphysics
2621:
2482:
1729:
987:
921:; in 1965 he was among the first scientists to study the new
914:
2636:"Review: N. N. Bogolubov, A. A. Logunov and I. T. Todorov,
2617:
2544:
2523:
N. N. Bogoliubov (1947). "On the Theory of Superfluidity".
2504:
N. N. Bogoliubov (1947). "On the Theory of Superfluidity".
2485:
2445:
1794:
Asymptotic Methods in the Theory of Non-Linear Oscillations
1526:
762:(for a short period in 1944 the Head of the Department was
585:
557:
1886:
N. N. Bogoliubov, A. A. Logunov and I. T. Todorov (1975):
1864:
N. N. Bogoliubov, B. V. Medvedev, M. K. Polivanov (1958):
1630:, computed the excitation spectrum for a weakly imperfect
16:
Soviet mathematician and theoretical physicist (1909–1992)
3027:
1890:. Reading, Mass.: W. A. Benjamin, Advanced Book Program.
878:
theory, and works on the theory of dispersion relations.
735:
3317:
2845:
1626:
1947—1948 Introduced kinetic equations in the theory of
1597:
in the single scheme of classical and quantum mechanics.
1593:
gave the first consistent microscopic derivation of the
3513:
Eleventh convocation members of the Soviet of the Union
1554:
995:
695:
method for the analysis of nonlinear control problems.
624:. In 1930, at the age of 21, he obtained the degree of
454:
3493:
Seventh convocation members of the Soviet of the Union
3473:
Members of the National Academy of Sciences of Ukraine
3448:
Foreign fellows of the Indian National Science Academy
3443:
Foreign associates of the National Academy of Sciences
564:
from 1917 to 1921, the family moved to the village of
3498:
Eighth convocation members of the Soviet of the Union
2673:
2429:. Zapiski Kafedry Fiziki Akademii Nauk Ukrainian SSR
1879:. New York, Interscience. The first text-book on the
1272:
Academy of Sciences of the German Democratic Republic
541:
Six months after Mykola's birth, the family moved to
3508:
Tenth convocation members of the Soviet of the Union
3503:
Ninth convocation members of the Soviet of the Union
3453:
Foreign members of the Bulgarian Academy of Sciences
3438:
Fellows of the American Academy of Arts and Sciences
1770:
On various formal expansions of non-linear mechanics
1671:-matrix) in quantum field theory and introduced the
502:
3543:
Recipients of the Order of the Red Banner of Labour
3483:
Taras Shevchenko National University of Kyiv alumni
3468:
Members of the German Academy of Sciences at Berlin
2268:
1808:
On Some Statistical Methods in Mathematical Physics
1568:In 1937, jointly with Nikolay Krylov he proved the
1477:
Bust of Academician NN Bogolyubov (Nizhny Novgorod)
837:
Problems of dynamical theory in statistical physics
758:(MSU). At that time the Head of the Department was
56:. Unsourced material may be challenged and removed.
1959:. Dordrecht ; Boston, Kluwer Academic Publishers.
1842:N. N. Bogolubov and N. N. Bogolubov, Jnr. (1992):
1832:. Oak Ridge, Tenn., Technical Information Service.
1289:Gold Medal "For service to science and humanity" (
1128:Nikolay Bogolyubov was a scientific supervisor of
1026:). His first students in nonlinear mechanics were
247:Significant contributions to nonlinear mechanics,
2281:N. N. Bogolyubov: K 100-letiyu so dnya rozhdeniya
1830:Problems of Dynamic Theory in Statistical Physics
1604:, which is significant for statistical theory of
1013:
507:Nikolay Bogolyubov was born on 21 August 1909 in
3419:
3216:(1994). "The Bogoliubov renormalization group".
2541:
2522:
2503:
2463:
2442:
990:, Russia, where he was a founder (together with
3458:Full Members of the Russian Academy of Sciences
3304:of the National Academy of Sciences of Ukraine.
2545:Journal of Experimental and Theoretical Physics
2486:Journal of Experimental and Theoretical Physics
2446:Journal of Experimental and Theoretical Physics
1823:A New Method in the Theory of Superconductivity
1647:A New Method in the Theory of Superconductivity
2638:Introduction to axiomatic quantum field theory
2633:
2464:N. N. Bogoliubov (1946). "Kinetic Equations".
2443:N. N. Bogoliubov (1946). "Kinetic Equations".
2040:Selected Works. Part IV. Quantum Field Theory.
1888:Introduction to Axiomatic Quantum Field Theory
1866:Problems in the Theory of Dispersion Relations
1437:Bogoliubov Laboratory of Theoretical Physics (
3373:
3064:
2563:N. N. Bogoliubov, O. S. Parasyuk (1955). "".
2109:Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy
1915:Introduction to the Theory of Quantized Field
1844:Introduction to Quantum Statistical Mechanics
1614:Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy
845:
3463:Full Members of the USSR Academy of Sciences
3318:Bogolyubov Laboratory of Theoretical Physics
3302:Bogolyubov Institute for Theoretical Physics
3266:(2001). "N. N. Bogoliubov and mathematics".
2781:
2234:"Nikolai Nikolaevich Bogolyubov - Biography"
1679:-matrix in terms of variational derivatives.
1430:Bogoliubov Institute of Theoretical Physics
717:
2813:
2071:Sbornik Trudov Instituta Matematiki AN USSR
1663:1955 Developed an axiomatic theory for the
1653:, Moscow, Academy of Sciences Press, 1958).
1083:. Unsourced material may be challenged and
459:; 21 August 1909 – 13 February 1992) was a
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3366:
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1957:General Principles of Quantum Field Theory
1917:. John Wiley & Sons Inc; 3rd edition.
1868:. Institute for Advanced Study, Princeton.
1649:(co-authors V. V. Tolmachev and
579:
168:
3478:Academic staff of Moscow State University
3229:
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2655:
2601:
2584:N. N. Bogoliubov, O. S. Parasyuk (1957).
1987:Selected Works. Part I. Dynamical Theory.
1480:Bust of Academician NN Bogolyubov (Dubna)
1103:Learn how and when to remove this message
622:On direct methods of variational calculus
116:Learn how and when to remove this message
3138:
1772:. Kyiv, Izdat. Zagal'noukr. Akad. Nauk.
1641:1958 Formulated a microscopic theory of
1600:1945 Suggested the idea of hierarchy of
1583:
849:
824:new method of non-linear mechanics, the
478:known for a significant contribution to
3212:
3101:
2918:
2709:
1465:National Academy of Sciences of Ukraine
1432:National Academy of Sciences of Ukraine
1261:Heineman Prize for Mathematical Physics
1039:National Academy of Sciences of Ukraine
933:Academy of Sciences of the Soviet Union
740:Ufa State Aviation Technical University
704:National Academy of Sciences of Ukraine
556:From 1913 to 1918, the family lived in
3533:Recipients of the Lomonosov Gold Medal
3420:
2950:
2119:Bogolyubov's edge-of-the-wedge theorem
1785:Princeton, Princeton University Press.
1457:(Joint Institute for Nuclear Research)
903:Bogoliubov's edge-of-the-wedge theorem
589:Department of Mathematical Physics at
553:, where his father taught until 1913.
3361:
1760:Mathematics and Non-linear Mechanics:
1455:Bogolyubov Prize for young scientists
1337:American Academy of Arts and Sciences
805:, or a stochastic process satisfying
785:. In his work a simple example of an
647:, methods of approximate solution of
593:under the supervision of Academician
3322:Joint Institute for Nuclear Research
2042:Gordon and Breach, Amsterdam, 1995.
2027:Gordon and Breach, Amsterdam, 1995.
1783:Introduction to Nonlinear Mechanics.
1555:Mathematics and non-linear mechanics
1449:Joint Institute for Nuclear Research
1439:Joint Institute for Nuclear Research
1206:(1953, 1959, 1967, 1969, 1975, 1979)
1118:Joint Institute for Nuclear Research
1081:adding citations to reliable sources
1048:
984:Joint Institute for Nuclear Research
946:
942:
383:Joint Institute for Nuclear Research
271:Bogoliubov edge-of-the-wedge theorem
54:adding citations to reliable sources
25:
2012:Gordon and Breach, New York, 1991.
1989:Gordon and Breach, New York, 1990.
1817:N. N. Bogoliubov, V. V. Tolmachev,
1750:List of works by Nikolay Bogolyubov
1512:21–27 August, Moscow-Dubna, Russia.
889:, where he developed the method of
670:Introduction to Nonlinear Mechanics
490:; he was the recipient of the 1992
162:Николай Боголюбов, Микола Боголюбов
13:
3548:Recipients of the USSR State Prize
2667:
2277:"Nikolay Nikolayevich Bogolyubov".
2164:Krylov-Bogoliubov averaging method
2062:
749:
730:on 22 June 1941 (beginning of the
14:
3619:
3328:Department of Theoretical Physics
3312:Lomonosov Moscow State University
3295:
1657:
1357:Academy of Sciences in Heidelberg
1216:Order of the Red Banner of Labour
1035:Institute for Theoretical Physics
996:Laboratory of Theoretical Physics
503:Early life in Ukraine (1909–1921)
379:Lomonosov Moscow State University
3538:Recipients of the Order of Lenin
1361:Czechoslovak Academy of Sciences
1343:(1961); a foreign member of the
1148:, Naftul Polsky, Galina Biryuk,
1053:
994:) and the first director of the
950:
935:. He was elected a full member (
860:Steklov Institute of Mathematics
375:Steklov Institute of Mathematics
30:
3598:Burials at Novodevichy Cemetery
3553:Winners of the Max Planck Medal
3288:10.1070/RM2001v056n03ABEH000413
3248:10.1070/rm1994v049n05abeh002434
3198:10.1070/RM1994v049n05ABEH002432
3161:10.1070/RM1994v049n05ABEH002430
3124:10.1070/RM1994v049n05ABEH002428
3087:10.1070/RM1994v049n05ABEH002426
3050:10.1070/RM1994v049n05ABEH002421
3013:10.1070/RM1994v049n05ABEH002419
2976:10.1070/RM1994v049n05ABEH002417
2936:10.1070/RM1992v047n03ABEH000892
2912:10.1070/PU1989v032n12ABEH002785
2872:10.1070/RM1989v044n05ABEH002280
2839:10.1070/RM1979v034n05ABEH003905
2807:10.1070/PU1979v022n08ABEH005604
2767:10.1070/RM1969v024n04ABEH001356
2735:10.1070/PU1970v012n04ABEH003911
2703:10.1070/PU1959v002n05ABEH003172
2657:10.1090/s0002-9904-1977-14261-4
2627:
2610:
2577:
2556:
2535:
2516:
2497:
2476:
2457:
2436:
2415:
1825:. New York, Consultants Bureau.
1743:
1331:Foreign Honorary Member of the
1210:Order of the October Revolution
1140:, Iosif Gihman, Tofik Mamedov,
437:Никола́й Никола́евич Боголю́бов
429:Nikolay Nikolayevich Bogolyubov
41:needs additional citations for
3523:Recipients of the Stalin Prize
2379:
2364:
2339:
2322:"Николай Николаевич Боголюбов"
2314:
2289:
2260:. May 29, 2024. Archived from
2250:
2226:
2196:
2114:Bogoliubov causality condition
1944:. Benjamin-Cummings Pub. Co.,
1877:The Theory of Quantized Fields
1839:. New York, Gordon and Breach.
1835:N. N. Bogoliubov (1967—1970):
1796:. New York, Gordon and Breach.
1014:Work in Ukraine after the WWII
456:Mykola Mykolaiovych Bogoliubov
1:
3528:Recipients of the Lenin Prize
3344:Mathematics Genealogy Project
2390:. Second Series (in French).
2375:Mathematics Genealogy Project
2220:
2179:Peierls–Bogoliubov inequality
1781:and N. N. Bogoliubov (1947):
1768:and N. N. Bogoliubov (1934):
1701:) and developed a procedure (
1369:Mongolian Academy of Sciences
1353:Hungarian Academy of Sciences
1341:Bulgarian Academy of Sciences
1024:NASU Institute of Mathematics
982:Since 1956, he worked in the
732:Eastern front of World War II
562:Ukrainian War of Independence
130:Eastern Slavic naming customs
3603:Recipients of Franklin Medal
2347:"Боголюбов Павел Николаевич"
1333:National Academy of Sciences
1237:, 1st class (Bulgaria, 1969)
1235:Order of Cyril and Methodius
1222:Order of the Badge of Honour
901:, formulated and proved the
826:method of integral manifolds
497:
445:Микола Миколайович Боголюбов
161:
7:
2139:Bogoliubov-Parasyuk theorem
2097:
1699:Bogoliubov-Parasyuk theorem
1533:
1472:Russian Academy of Sciences
1255:Bologna Academy of Sciences
1123:
907:Bogoliubov–Parasyuk theorem
712:Chernivtsi State University
657:Bologna Academy of Sciences
612:and obtained the degree of
488:theory of dynamical systems
455:
276:Bogoliubov–Parasyuk theorem
10:
3624:
3518:Heroes of Socialist Labour
2566:Doklady Akademii Nauk SSSR
2274:Bogolyubov, A. N. (2009).
2154:Describing function method
1747:
1570:Krylov–Bogolyubov theorems
1494:) (Dubna's central street)
1365:Indian Academy of Sciences
1345:Polish Academy of Sciences
1291:Slovak Academy of Sciences
1243:, 2nd class (Poland, 1977)
846:Steklov Institute (1947–?)
128:In this name that follows
127:
21:Nikolay Bogolyubov (actor)
18:
3393:
2169:Krylov-Bogolyubov theorem
2149:Bogoliubov transformation
1828:N. N. Bogoliubov (1960):
1806:N. N. Bogoliubov (1945):
1577:edge-of-the-wedge theorem
1548:edge-of-the-wedge theorem
1539:and to many other areas.
1491:
1265:American Physical Society
1163:
1044:
899:Bogoliubov transformation
831:In 1946, he published in
744:Ufa Pedagogical Institute
718:In evacuation (1941–1943)
645:almost periodic functions
584:The family soon moved to
444:
436:
422:
400:
388:
366:
348:
341:
293:
286:Krylov–Bogolyubov theorem
281:Bogoliubov transformation
241:
223:
201:
176:
167:
160:
153:
2433:: 81–157 (in Ukrainian).
2189:
2144:Bogoliubov quasiparticle
2129:Bogoliubov inner product
2104:Bogoliubov approximation
1754:
1197:Hero of Socialist Labour
774:, and other physicists.
482:, classical and quantum
3563:Mathematical physicists
2634:Jaffee, Arthur (1977).
2506:Izv. Academii Nauk USSR
1651:D. V. Shirkov
1544:microscopical causality
1470:Bogolyubov Gold Medal (
1425:Moscow State University
1376:University of Allahabad
1374:Honorary Doctor of the
1349:GDR Academy of Sciences
1335:(United States, 1959),
897:, where introduced the
756:Moscow State University
580:Kyiv period (1921-1940)
517:Russian Orthodox Church
319:Hero of Socialist Labor
3588:Theoretical physicists
2892:Soviet Physics Uspekhi
2787:Soviet Physics Uspekhi
2715:Soviet Physics Uspekhi
2683:Soviet Physics Uspekhi
1801:Statistical Mechanics:
1606:irreversible processes
1595:Fokker–Planck equation
1382:(East Germany, 1960),
1270:Gold Medal Helmholtz (
855:
807:Fokker–Planck equation
684:
668:" (1934) and the book
649:differential equations
641:calculus of variations
3578:Soviet mathematicians
3268:Russian Math. Surveys
3218:Russian Math. Surveys
3178:Russian Math. Surveys
3141:Russian Math. Surveys
3104:Russian Math. Surveys
3067:Russian Math. Surveys
3030:Russian Math. Surveys
2993:Russian Math. Surveys
2956:Russian Math. Surveys
2924:Russian Math. Surveys
2852:Russian Math. Surveys
2819:Russian Math. Surveys
2747:Russian Math. Surveys
2644:Bull. Amer. Math. Soc
2421:N. N. Bogoliubov and
2388:Annals of Mathematics
2124:Bogolyubov inequality
1881:renormalization group
1859:Quantum Field Theory:
1846:. Gordon and Breach.
1716:and independently of
1688:renormalization group
1584:Statistical mechanics
872:renormalization group
853:
787:anharmonic oscillator
674:
618:Candidate of Sciences
484:statistical mechanics
476:theoretical physicist
253:statistical mechanics
2675:Mitropolskiy, Yu. A.
1728:suggested a triplet
1326:Academic recognition
1306:Lomonosov Gold Medal
1224:, twice (1944, 1944)
1218:, twice (1948, 1954)
1199:, twice (1969, 1979)
1158:Vladimir Kadyshevsky
1077:improve this section
1000:quantum field theory
895:quantum field theory
779:stochastic processes
480:quantum field theory
357:mathematical physics
329:Lomonosov Gold Medal
249:quantum field theory
65:"Nikolay Bogolyubov"
50:improve this article
3408:Anatoliy Zahorodniy
3280:2001RuMaS..56..607V
3240:1994RuMaS..49..155S
3190:1994RuMaS..49..109S
3153:1994RuMaS..49...89M
3116:1994RuMaS..49...77L
3079:1994RuMaS..49...67Z
3042:1994RuMaS..49...51V
3005:1994RuMaS..49...19B
2968:1994RuMaS..49....1A
2904:1989SvPhU..32.1111A
2864:1989RuMaS..44....1L
2831:1979RuMaS..34R...1A
2799:1979SvPhU..22..672A
2783:Ambartsumyan, V. A.
2759:1969RuMaS..24..167V
2727:1970SvPhU..12..590Z
2695:1959SvPhU...2..765M
1673:causality condition
1492:проспект Боголюбова
1484:Bogolyubov prospect
1008:statistical physics
818:statistical physics
799:continuous spectrum
693:describing function
689:control engineering
353:Theoretical physics
19:For the actor, see
3608:Russian scientists
3568:Quantum physicists
3396:Nikolay Bogolyubov
3340:Nikolay Bogolyubov
2815:Aleksandrov, P. S.
2603:10.1007/BF02392399
2525:Journal of Physics
2466:Journal of Physics
2371:Nikolay Bogolyubov
2184:Quantum triviality
2134:Bogolyubov's lemma
2038:N. N. Bogoliubov,
2023:N. N. Bogoliubov,
2008:N. N. Bogoliubov,
1985:N. N. Bogoliubov,
1936:N. N. Bogoliubov,
1909:N. N. Bogoliubov,
1871:N. N. Bogoliubov,
1788:N. N. Bogoliubov,
1726:Oscar W. Greenberg
1714:Albert Tavkhelidze
1708:1965 Jointly with
1693:1955 Jointly with
1682:1955 Jointly with
1619:1947 Jointly with
1589:1939 Jointly with
1521:2009-06-05 at the
1406:(Mongolia, 1977),
1241:Order "For merits"
1130:Yurii Mitropolskiy
1028:Yurii Mitropolskyi
992:Dmitry Blokhintsev
962:. You can help by
856:
797:oscillations with
783:asymptotic methods
630:Doctor of Sciences
409:Yurii Mitropolskiy
217:Russian Federation
155:Nikolay Bogolyubov
3573:Soviet physicists
3558:Control theorists
3415:
3414:
3400:Alexander Davydov
3264:Vladimirov, V. S.
2898:(12): 1111–1112.
2743:Vladimirov, V. S.
2620:Preprint D-1968,
2056:978-2-88124-926-6
2003:978-2-88124-752-1
1973:978-0-7923-0540-8
1931:978-0-471-04223-5
1896:978-0-8053-0982-9
1790:Y. A. Mitropolsky
1665:scattering matrix
1643:superconductivity
1525:15–18 September,
1402:(Finland, 1973),
1398:(Romania, 1971),
1146:Mikhail Polivanov
1113:
1112:
1105:
980:
979:
943:Dubna (1956–1992)
887:superconductivity
868:Mikhail Polivanov
864:Vasily Vladimirov
653:dynamical systems
453:
426:
425:
401:Doctoral students
343:Scientific career
257:superconductivity
126:
125:
118:
100:
3615:
3583:Soviet inventors
3382:
3375:
3368:
3359:
3358:
3351:in the database
3324:, Dubna, Russia.
3291:
3259:
3233:
3209:
3172:
3135:
3098:
3061:
3024:
2987:
2947:
2915:
2888:Abrikosov, A. A.
2883:
2846:Logunov, A. A.;
2842:
2810:
2778:
2738:
2706:
2679:Tyablikov, S. V.
2662:
2661:
2659:
2631:
2625:
2614:
2608:
2607:
2605:
2590:Acta Mathematica
2581:
2575:
2574:
2560:
2554:
2553:
2539:
2533:
2532:
2520:
2514:
2513:
2501:
2495:
2494:
2480:
2474:
2473:
2461:
2455:
2454:
2440:
2434:
2419:
2413:
2411:
2383:
2377:
2368:
2362:
2361:
2359:
2357:
2343:
2337:
2336:
2334:
2332:
2318:
2312:
2311:
2309:
2307:
2293:
2287:
2286:
2272:
2266:
2265:
2264:on May 18, 2015.
2254:
2248:
2247:
2245:
2244:
2230:
2214:
2200:
2078:
1813:
1775:
1710:Boris Struminsky
1602:relaxation times
1493:
1461:Bogolyubov Prize
1445:Bogolyubov Prize
1394:(Poland, 1970),
1378:, India (1958),
1278:Max Planck Medal
1185:USSR State Prize
1150:Sergei Tyablikov
1108:
1101:
1097:
1094:
1088:
1057:
1049:
975:
972:
954:
947:
839:(Moscow, 1946).
682:
643:, the theory of
632:, equivalent to
547:Chernihiv Oblast
458:
448:
446:
438:
413:Sergei Tyablikov
390:Doctoral advisor
337:
324:Max Planck Medal
304:USSR State Prize
208:
205:13 February 1992
186:
184:
172:
151:
150:
121:
114:
110:
107:
101:
99:
58:
34:
26:
3623:
3622:
3618:
3617:
3616:
3614:
3613:
3612:
3418:
3417:
3416:
3411:
3404:Oleksiy Sytenko
3389:
3386:
3298:
2670:
2668:Further reading
2665:
2632:
2628:
2615:
2611:
2582:
2578:
2561:
2557:
2540:
2536:
2521:
2517:
2502:
2498:
2481:
2477:
2462:
2458:
2441:
2437:
2420:
2416:
2400:10.2307/1968511
2384:
2380:
2369:
2365:
2355:
2353:
2345:
2344:
2340:
2330:
2328:
2320:
2319:
2315:
2305:
2303:
2295:
2294:
2290:
2284:
2273:
2269:
2256:
2255:
2251:
2242:
2240:
2232:
2231:
2227:
2223:
2218:
2217:
2201:
2197:
2192:
2159:Goldstone boson
2100:
2065:
2063:Selected papers
1811:
1773:
1757:
1752:
1746:
1660:
1586:
1557:
1536:
1523:Wayback Machine
1434:(Kyiv, Ukraine)
1390:(Italy, 1969),
1299:(Germany, 1981)
1297:Karpinski Prize
1248:Academic awards
1204:Orders of Lenin
1166:
1126:
1109:
1098:
1092:
1089:
1074:
1058:
1047:
1020:Kyiv University
1016:
1004:nuclear physics
976:
970:
967:
960:needs expansion
945:
891:BBGKY hierarchy
848:
815:non-equilibrium
768:Dmitri Ivanenko
752:
750:Moscow (1943–?)
720:
700:Kyiv University
683:
680:
591:Kyiv University
582:
509:Nizhny Novgorod
505:
500:
415:
411:
407:
381:
377:
373:
371:Kyiv University
332:
327:
322:
317:
312:
307:
302:
297:
266:BBGKY hierarchy
219:
210:
206:
197:
191:Nizhny Novgorod
188:
182:
180:
163:
156:
149:
122:
111:
105:
102:
59:
57:
47:
35:
24:
17:
12:
11:
5:
3621:
3611:
3610:
3605:
3600:
3595:
3590:
3585:
3580:
3575:
3570:
3565:
3560:
3555:
3550:
3545:
3540:
3535:
3530:
3525:
3520:
3515:
3510:
3505:
3500:
3495:
3490:
3485:
3480:
3475:
3470:
3465:
3460:
3455:
3450:
3445:
3440:
3435:
3430:
3413:
3412:
3406:(1988–2002) •
3402:(1973–1988) •
3398:(1966–1973) •
3394:
3391:
3390:
3385:
3384:
3377:
3370:
3362:
3356:
3355:
3349:Author profile
3346:
3337:
3331:
3325:
3315:
3305:
3297:
3296:External links
3294:
3293:
3292:
3274:(3): 607–613.
3260:
3231:hep-th/9602024
3224:(5): 155–176.
3214:Shirkov, D. V.
3210:
3184:(5): 109–154.
3173:
3136:
3099:
3062:
3025:
2988:
2948:
2920:Faddeev, L. D.
2916:
2884:
2848:Novikov, S. P.
2843:
2811:
2793:(8): 672–676.
2779:
2753:(4): 167–175.
2739:
2721:(4): 590–593.
2711:Zubarev, D. N.
2707:
2689:(5): 765–770.
2669:
2666:
2664:
2663:
2650:(3): 349–351.
2626:
2609:
2576:
2569:(in Russian).
2555:
2534:
2515:
2508:(in Russian).
2496:
2489:(in Russian).
2475:
2456:
2449:(in Russian).
2435:
2414:
2378:
2363:
2338:
2313:
2288:
2267:
2249:
2224:
2222:
2219:
2216:
2215:
2204:transliterated
2194:
2193:
2191:
2188:
2187:
2186:
2181:
2176:
2171:
2166:
2161:
2156:
2151:
2146:
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2136:
2131:
2126:
2121:
2116:
2111:
2106:
2099:
2096:
2095:
2094:
2091:
2088:
2085:
2082:
2079:
2064:
2061:
2060:
2059:
2036:
2021:
2006:
1982:
1981:
1980:Selected works
1977:
1976:
1953:
1942:Quantum Fields
1934:
1907:
1884:
1869:
1856:
1855:
1840:
1833:
1826:
1815:
1798:
1797:
1786:
1776:
1774:(in Ukrainian)
1756:
1753:
1748:Main article:
1745:
1742:
1741:
1740:
1737:
1722:Yoichiro Nambu
1706:
1695:Ostap Parasyuk
1691:
1686:developed the
1684:Dmitry Shirkov
1680:
1659:
1658:Quantum theory
1656:
1655:
1654:
1639:
1624:
1617:
1609:
1598:
1591:Nikolay Krylov
1585:
1582:
1581:
1580:
1573:
1566:
1562:Nikolay Krylov
1556:
1553:
1535:
1532:
1531:
1530:
1513:
1499:
1498:
1495:
1481:
1478:
1475:
1468:
1458:
1452:
1442:
1435:
1428:
1417:
1416:
1412:
1411:
1410:(Poland, 1977)
1372:
1328:
1327:
1323:
1322:
1312:
1309:
1303:
1300:
1294:
1287:
1284:Franklin Medal
1281:
1275:
1268:
1258:
1250:
1249:
1245:
1244:
1238:
1231:
1230:
1229:Foreign awards
1226:
1225:
1219:
1213:
1207:
1200:
1194:
1188:
1182:
1174:
1173:
1165:
1162:
1154:Dmitry Zubarev
1134:Dmitry Shirkov
1125:
1122:
1111:
1110:
1061:
1059:
1052:
1046:
1043:
1015:
1012:
1002:, theoretical
978:
977:
957:
955:
944:
941:
923:quantum number
911:Ostap Parasyuk
847:
844:
793:of incoherent
772:Arseny Sokolov
760:Anatoly Vlasov
751:
748:
719:
716:
678:
610:Nikolay Krylov
581:
578:
570:Poltava Oblast
513:Russian Empire
504:
501:
499:
496:
424:
423:
420:
419:
417:Dmitry Shirkov
405:Dmitry Zubarev
402:
398:
397:
395:Nikolay Krylov
392:
386:
385:
368:
364:
363:
350:
346:
345:
339:
338:
314:Heineman Prize
295:
291:
290:
289:
288:
283:
278:
273:
268:
263:
243:
242:Known for
239:
238:
225:
221:
220:
211:
209:(aged 82)
203:
199:
198:
195:Russian Empire
189:
187:21 August 1909
178:
174:
173:
165:
164:
158:
157:
154:
124:
123:
38:
36:
29:
15:
9:
6:
4:
3:
2:
3620:
3609:
3606:
3604:
3601:
3599:
3596:
3594:
3593:Superfluidity
3591:
3589:
3586:
3584:
3581:
3579:
3576:
3574:
3571:
3569:
3566:
3564:
3561:
3559:
3556:
3554:
3551:
3549:
3546:
3544:
3541:
3539:
3536:
3534:
3531:
3529:
3526:
3524:
3521:
3519:
3516:
3514:
3511:
3509:
3506:
3504:
3501:
3499:
3496:
3494:
3491:
3489:
3486:
3484:
3481:
3479:
3476:
3474:
3471:
3469:
3466:
3464:
3461:
3459:
3456:
3454:
3451:
3449:
3446:
3444:
3441:
3439:
3436:
3434:
3431:
3429:
3426:
3425:
3423:
3409:
3405:
3401:
3397:
3392:
3383:
3378:
3376:
3371:
3369:
3364:
3363:
3360:
3354:
3350:
3347:
3345:
3341:
3338:
3336:(in Russian).
3335:
3332:
3329:
3326:
3323:
3319:
3316:
3313:
3309:
3306:
3303:
3300:
3299:
3289:
3285:
3281:
3277:
3273:
3269:
3265:
3261:
3257:
3253:
3249:
3245:
3241:
3237:
3232:
3227:
3223:
3219:
3215:
3211:
3207:
3203:
3199:
3195:
3191:
3187:
3183:
3179:
3174:
3170:
3166:
3162:
3158:
3154:
3150:
3147:(5): 89–108.
3146:
3142:
3137:
3133:
3129:
3125:
3121:
3117:
3113:
3109:
3105:
3100:
3096:
3092:
3088:
3084:
3080:
3076:
3072:
3068:
3063:
3059:
3055:
3051:
3047:
3043:
3039:
3035:
3031:
3026:
3022:
3018:
3014:
3010:
3006:
3002:
2998:
2994:
2989:
2985:
2981:
2977:
2973:
2969:
2965:
2961:
2957:
2953:
2952:Anosov, D. V.
2949:
2945:
2941:
2937:
2933:
2929:
2925:
2921:
2917:
2913:
2909:
2905:
2901:
2897:
2893:
2889:
2885:
2881:
2877:
2873:
2869:
2865:
2861:
2857:
2853:
2849:
2844:
2840:
2836:
2832:
2828:
2824:
2820:
2816:
2812:
2808:
2804:
2800:
2796:
2792:
2788:
2784:
2780:
2776:
2772:
2768:
2764:
2760:
2756:
2752:
2748:
2744:
2740:
2736:
2732:
2728:
2724:
2720:
2716:
2712:
2708:
2704:
2700:
2696:
2692:
2688:
2684:
2680:
2676:
2672:
2671:
2658:
2653:
2649:
2645:
2641:
2639:
2630:
2623:
2619:
2613:
2604:
2599:
2595:
2592:(in German).
2591:
2587:
2580:
2572:
2568:
2567:
2559:
2551:
2547:
2546:
2538:
2530:
2526:
2519:
2511:
2507:
2500:
2493:(7): 614–628.
2492:
2488:
2487:
2479:
2472:(3): 265–274.
2471:
2467:
2460:
2453:(8): 691–702.
2452:
2448:
2447:
2439:
2432:
2428:
2424:
2418:
2409:
2405:
2401:
2397:
2394:(1): 65–113.
2393:
2389:
2382:
2376:
2372:
2367:
2352:
2348:
2342:
2327:
2323:
2317:
2302:
2298:
2292:
2282:
2279:
2278:
2271:
2263:
2259:
2253:
2239:
2238:Maths History
2235:
2229:
2225:
2213:
2209:
2205:
2199:
2195:
2185:
2182:
2180:
2177:
2175:
2172:
2170:
2167:
2165:
2162:
2160:
2157:
2155:
2152:
2150:
2147:
2145:
2142:
2140:
2137:
2135:
2132:
2130:
2127:
2125:
2122:
2120:
2117:
2115:
2112:
2110:
2107:
2105:
2102:
2101:
2092:
2089:
2086:
2083:
2080:
2076:
2072:
2067:
2066:
2057:
2053:
2049:
2048:2-88124-926-4
2045:
2041:
2037:
2034:
2033:2-88124-918-3
2030:
2026:
2022:
2019:
2018:2-88124-768-7
2015:
2011:
2007:
2004:
2000:
1996:
1995:2-88124-752-0
1992:
1988:
1984:
1983:
1979:
1978:
1974:
1970:
1966:
1965:0-7923-0540-X
1962:
1958:
1954:
1951:
1950:0-8053-0983-7
1947:
1943:
1939:
1938:D. V. Shirkov
1935:
1932:
1928:
1924:
1923:0-471-04223-4
1920:
1916:
1912:
1911:D. V. Shirkov
1908:
1905:
1904:0-8053-0982-9
1901:
1897:
1893:
1889:
1885:
1882:
1878:
1874:
1873:D. V. Shirkov
1870:
1867:
1863:
1862:
1861:
1860:
1853:
1852:2-88124-879-9
1849:
1845:
1841:
1838:
1834:
1831:
1827:
1824:
1820:
1819:D. V. Shirkov
1816:
1809:
1805:
1804:
1803:
1802:
1795:
1791:
1787:
1784:
1780:
1777:
1771:
1767:
1764:
1763:
1762:
1761:
1751:
1738:
1736:) for quarks.
1735:
1731:
1727:
1723:
1719:
1718:Moo-Young Han
1715:
1711:
1707:
1704:
1700:
1696:
1692:
1689:
1685:
1681:
1678:
1674:
1670:
1666:
1662:
1661:
1652:
1648:
1644:
1640:
1637:
1633:
1629:
1628:superfluidity
1625:
1622:
1618:
1615:
1610:
1607:
1603:
1599:
1596:
1592:
1588:
1587:
1578:
1574:
1571:
1567:
1563:
1559:
1558:
1552:
1549:
1545:
1540:
1528:
1524:
1520:
1517:
1514:
1511:
1508:
1507:
1506:
1504:
1501:In 2009, the
1496:
1489:
1485:
1482:
1479:
1476:
1473:
1469:
1466:
1462:
1459:
1456:
1453:
1450:
1446:
1443:
1440:
1436:
1433:
1429:
1426:
1422:
1421:
1420:
1414:
1413:
1409:
1405:
1401:
1397:
1393:
1389:
1386:(USA, 1967),
1385:
1381:
1377:
1373:
1370:
1366:
1362:
1358:
1354:
1350:
1346:
1342:
1338:
1334:
1330:
1329:
1325:
1324:
1320:
1316:
1313:
1310:
1307:
1304:
1301:
1298:
1295:
1292:
1288:
1285:
1282:
1279:
1276:
1273:
1269:
1266:
1262:
1259:
1256:
1253:Award of the
1252:
1251:
1247:
1246:
1242:
1239:
1236:
1233:
1232:
1228:
1227:
1223:
1220:
1217:
1214:
1211:
1208:
1205:
1201:
1198:
1195:
1192:
1189:
1186:
1183:
1180:
1179:Stalin Prizes
1176:
1175:
1171:
1170:
1169:
1161:
1159:
1155:
1151:
1147:
1143:
1139:
1135:
1131:
1121:
1119:
1107:
1104:
1096:
1086:
1082:
1078:
1072:
1071:
1067:
1062:This section
1060:
1056:
1051:
1050:
1042:
1040:
1036:
1031:
1029:
1025:
1021:
1011:
1009:
1005:
1001:
997:
993:
989:
985:
974:
971:December 2009
965:
961:
958:This section
956:
953:
949:
948:
940:
938:
934:
929:
927:
924:
920:
916:
912:
908:
904:
900:
896:
892:
888:
884:
883:superfluidity
879:
877:
873:
869:
865:
861:
852:
843:
840:
838:
834:
829:
827:
821:
819:
816:
812:
808:
804:
803:deterministic
800:
796:
792:
791:superposition
788:
784:
780:
775:
773:
769:
765:
764:Vladimir Fock
761:
757:
747:
745:
741:
737:
733:
729:
725:
724:German attack
715:
713:
709:
705:
701:
696:
694:
690:
677:
673:
671:
667:
661:
658:
654:
650:
646:
642:
637:
635:
631:
627:
623:
619:
615:
614:Kandidat Nauk
611:
607:
606:Ukrainian SSR
603:
598:
596:
592:
587:
577:
575:
571:
567:
566:Velyka Krucha
563:
559:
554:
552:
548:
544:
539:
537:
533:
529:
525:
521:
518:
514:
510:
495:
493:
489:
485:
481:
477:
473:
472:mathematician
470:
466:
462:
457:
451:
442:
434:
430:
421:
418:
414:
410:
406:
403:
399:
396:
393:
391:
387:
384:
380:
376:
372:
369:
365:
362:
358:
354:
351:
347:
344:
340:
335:
330:
325:
320:
315:
310:
305:
300:
296:
292:
287:
284:
282:
279:
277:
274:
272:
269:
267:
264:
262:
261:superfluidity
258:
254:
250:
246:
245:
244:
240:
237:
233:
229:
226:
222:
218:
214:
204:
200:
196:
192:
179:
175:
171:
166:
159:
152:
147:
143:
140: and the
139:
135:
131:
120:
117:
109:
98:
95:
91:
88:
84:
81:
77:
74:
70:
67: –
66:
62:
61:Find sources:
55:
51:
45:
44:
39:This article
37:
33:
28:
27:
22:
3410:(since 2002)
3395:
3271:
3267:
3221:
3217:
3181:
3177:
3144:
3140:
3110:(5): 77–88.
3107:
3103:
3073:(5): 67–76.
3070:
3066:
3036:(5): 51–65.
3033:
3029:
2999:(5): 19–49.
2996:
2992:
2959:
2955:
2927:
2923:
2895:
2891:
2855:
2851:
2822:
2818:
2790:
2786:
2750:
2746:
2718:
2714:
2686:
2682:
2647:
2643:
2637:
2629:
2612:
2593:
2589:
2579:
2570:
2564:
2558:
2549:
2543:
2537:
2528:
2524:
2518:
2509:
2505:
2499:
2490:
2484:
2478:
2469:
2465:
2459:
2450:
2444:
2438:
2430:
2426:
2423:N. M. Krylov
2417:
2391:
2387:
2381:
2366:
2354:. Retrieved
2350:
2341:
2329:. Retrieved
2325:
2316:
2304:. Retrieved
2300:
2297:"About BITP"
2291:
2285:(in Russian)
2280:
2275:
2270:
2262:the original
2252:
2241:. Retrieved
2237:
2228:
2211:
2207:
2198:
2074:
2070:
2039:
2024:
2009:
1986:
1956:
1941:
1914:
1887:
1876:
1865:
1858:
1857:
1843:
1836:
1829:
1822:
1812:(in Russian)
1807:
1800:
1799:
1793:
1782:
1779:N. M. Krylov
1769:
1766:N. M. Krylov
1759:
1758:
1744:Publications
1734:color charge
1676:
1668:
1646:
1541:
1537:
1500:
1483:
1418:
1319:posthumously
1181:(1947, 1953)
1167:
1142:Kirill Gurov
1127:
1114:
1099:
1090:
1075:Please help
1063:
1032:
1017:
981:
968:
964:adding to it
959:
930:
926:color charge
880:
874:, axiomatic
857:
854:N.Bogolyubov
841:
836:
830:
825:
822:
789:driven by a
776:
753:
728:Soviet Union
726:against the
721:
697:
685:
675:
669:
665:
662:
638:
634:Habilitation
629:
621:
617:
601:
599:
595:Dmitry Grave
583:
555:
540:
506:
428:
427:
367:Institutions
342:
321:(1969, 1979)
301:(1947, 1953)
299:Stalin Prize
207:(1992-02-13)
145:
138:Nikolayevich
137:
112:
103:
93:
86:
79:
72:
60:
48:Please help
43:verification
40:
3433:1992 deaths
3428:1909 births
2962:(5): 1–18.
2858:(5): 1–10.
2825:(5): 1–10.
2596:: 227–266.
2531:(1): 23–32.
2412:Zbl. 16.86.
2174:Landau pole
1703:R-operation
1621:K. P. Gurov
1315:Dirac Medal
1191:Lenin Prize
1138:Selim Krein
937:academician
626:Doktor nauk
526:teacher of
492:Dirac Medal
361:mathematics
334:Dirac Prize
309:Lenin Prize
224:Nationality
142:family name
3422:Categories
2930:(3): 1–3.
2351:eduspb.com
2243:2024-05-16
2221:References
2208:Bogoliubov
1565:mechanics.
1529:, Ukraine.
1404:Ulan Bator
795:sinusoidal
722:After the
708:Chernivtsi
545:, city of
536:philosophy
532:psychology
486:, and the
183:1909-08-21
146:Bogolyubov
134:patronymic
76:newspapers
3314:, Russia.
3256:250886692
3206:250911673
3169:250918073
3132:250883056
3095:250829806
3058:250899126
3021:250872382
2984:250861645
2944:250873759
2880:250843264
2775:250852631
2212:Bogolubov
1636:Helium II
1503:centenary
1396:Bucharest
1093:June 2021
1064:does not
917:model of
811:Markovian
498:Biography
465:Ukrainian
450:romanized
441:Ukrainian
232:Ukrainian
106:July 2021
2573:: 25–28.
2552:(1): 58.
2512:(1): 77.
2425:(1939).
2098:See also
2077:: 41–59.
1940:(1982):
1913:(1980):
1875:(1959):
1821:(1959):
1792:(1961):
1632:Bose gas
1534:Research
1519:Archived
1441:, Dubna)
1400:Helsinki
1367:(1983),
1363:(1980),
1359:(1968),
1355:(1970),
1351:(1966),
1347:(1962),
1339:(1960),
1124:Students
986:(JINR),
876:S-matrix
679:—
568:(now in
528:theology
524:seminary
3342:at the
3320:at the
3310:at the
3276:Bibcode
3236:Bibcode
3186:Bibcode
3149:Bibcode
3112:Bibcode
3075:Bibcode
3038:Bibcode
3001:Bibcode
2964:Bibcode
2900:Bibcode
2860:Bibcode
2827:Bibcode
2795:Bibcode
2755:Bibcode
2723:Bibcode
2691:Bibcode
2408:1968511
2373:at the
2306:May 29,
1883:theory.
1810:. Kyiv
1690:method.
1488:Russian
1392:Wroclaw
1384:Chicago
1317:(1992,
1293:, 1975)
1274:, 1969)
1267:, 1966)
1085:removed
1070:sources
919:hadrons
742:and at
687:From a
574:Ukraine
551:Ukraine
469:Russian
452::
433:Russian
316:(1966)
236:Russian
90:scholar
3353:zbMATH
3254:
3204:
3167:
3130:
3093:
3056:
3019:
2982:
2942:
2878:
2773:
2406:
2326:MSU.ru
2054:
2046:
2031:
2016:
2001:
1993:
1971:
1963:
1948:
1929:
1921:
1902:
1894:
1850:
1415:Memory
1408:Warsaw
1380:Berlin
1371:(1983)
1286:(1974)
1280:(1973)
1257:(1930)
1212:(1984)
1193:(1958)
1187:(1984)
1172:Soviet
1164:Awards
1045:Family
909:(with
651:, and
543:Nizhyn
520:priest
461:Soviet
349:Fields
336:(1992)
331:(1985)
326:(1973)
311:(1958)
306:(1984)
294:Awards
228:Soviet
213:Moscow
132:, the
92:
85:
78:
71:
63:
3252:S2CID
3226:arXiv
3202:S2CID
3165:S2CID
3128:S2CID
3091:S2CID
3054:S2CID
3017:S2CID
2980:S2CID
2940:S2CID
2876:S2CID
2771:S2CID
2624:1965.
2622:Dubna
2404:JSTOR
2356:7 May
2331:7 May
2202:also
2190:Notes
1755:Books
1730:quark
1388:Turin
988:Dubna
915:quark
97:JSTOR
83:books
2618:JINR
2358:2024
2333:2024
2308:2024
2210:and
2052:ISBN
2044:ISBN
2029:ISBN
2014:ISBN
1999:ISBN
1991:ISBN
1969:ISBN
1961:ISBN
1946:ISBN
1927:ISBN
1919:ISBN
1900:ISBN
1892:ISBN
1848:ISBN
1724:and
1712:and
1675:for
1527:Kyiv
1202:Six
1177:Two
1068:any
1066:cite
905:and
885:and
833:JETP
781:and
586:Kyiv
558:Kyiv
534:and
522:and
474:and
467:and
202:Died
177:Born
69:news
3284:doi
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