Edit Profile (opens in new tab) Novikov, Sergeĭ Petrovich Co-Author Distance Author ID: novikov.sergei-petrovich Published as: Novikov, S. P.; Novikov, S.; Novikov, Sergey; Novikov, Sergey P.; Novikov, Sergei P.; Novikov, Sergej P. more...less Further Spellings: Новиков Сергей Петрович Homepage: https://homepage.mi-ras.ru/~snovikov/index.html External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1970) · Wolf Prize (2005) Documents Indexed: 333 Publications since 1959, including 18 Books and 15 Additional arXiv Preprints 24 Contributions as Editor · 2 Further Contributions Biographic References: 15 Publications Co-Authors: 434 Co-Authors with 239 Joint Publications 10,685 Co-Co-Authors all top 5 Co-Authors 119 single-authored 39 Bukhshtaber, Viktor Matveevich 32 Krichever, Igor’ Moiseevich 28 Grinevich, Pëtr Georgievich 26 Dubrovin, Boris Anatol’evich 18 Arnol’d, Vladimir Igorevich 17 Fomenko, Anatoliĭ Timofeevich 15 Kozlov, Valeriĭ Vasil’evich 14 Faddeev, Lyudvig Dmitrievich 14 Veselov, Alexander Petrovich 13 Sinaĭ, Yakov Grigor’evich 11 Gamkrelidze, Revaz Valerianovich 11 Mal’tsev, Andreĭ Yakovlevich 11 Taĭmanov, Iskander Asanovich 10 Mal’tsev, Arkadiĭ Anatol’evich 9 Kolmogorov, Andreĭ Nikolaevich 9 Marchenko, Vladimir Aleksandrovich 9 Mironov, Andreĭ Evgen’evich 9 Parshin, Alekseĭ Nikolaevich 8 Maslov, Viktor Pavlovich 8 Osipov, Yuriĭ Sergeevich 8 Reshetnyak, Yuriĭ Grigor’evich 8 Vershik, Anatoliĭ Moiseevich 7 Bogoyavlenskij, Oleg Igorevich 6 Dynnikov, Ivan Alekseevich 6 Gonchar, Andreĭ Aleksandrovich 6 Kutateladze, Semën Samsonovich 6 Margulis, Grigoriĭ Aleksandrovich 6 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 6 Oleĭnik, Ol’ga Arsen’evna 6 Pogorelov, Alekseĭ Vasil’evich 6 Treshchev, Dmitriĭ Valer’evich 6 Vladimirov, Vasiliĭ Sergeevich 6 Zel’manov, Efim Isaakovich 5 Aleksandrov, Aleksandr Danilovich 5 Anosov, Dmitriĭ Viktorovich 5 Berezans’kyĭ, Yuriĭ Makarovych 5 Fuchs, Dmitry Borisovich 5 Gel’fand, Israil’ Moiseevich 5 Khovanskiĭ, Askold Georgievich 5 Kostrikin, Alekseĭ Ivanovich 5 Manin, Yuriĭ Ivanovich 5 Mishchenko, Aleksandr Sergeevich 5 Sabitov, Idzhad Khakovich 5 Sergeev, Armen Glebovich 5 Zhizhchenko, Alexey B. 4 Adyan, Sergeĭ Ivanovich 4 Bogolyubov, Nikolaĭ Nikolaevich 4 Bokut, Leonid A. 4 Khruslov, Eugene Yakovlevich 4 Kuchment, Peter A. 4 Ladyzhenskaya, Ol’ga Aleksandrovna 4 Lando, Sergei K. 4 Lupanov, Oleg Borisovich 4 Mishchenko, Evgeniĭ Frolovich 4 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 4 Ostrovskiĭ, Iosif Vladimirovich 4 Rapinchuk, Andrei S. 4 Sadovnichiĭ, Viktor Antonovich 4 Tikhomirov, Vladimir Mikhaĭlovich 4 Vishik, Marko Iosifovich 4 Zakharov, Vladimir Evgen’evich 4 Zarelua, A. V. 3 Beklemishev, Lev D. 3 Benyash-Krivets, Valeriĭ Vatslavovich 3 Bolibrukh, Andreĭ Andreevich 3 Gindikin, Simon Grigorevich 3 Gromov, Mikhael Leonidovich 3 Ibragimov, Il’dar Abdullovich 3 Ishlinskiĭ, Aleksandr Yul’evich 3 Kac, Victor 3 Kalashnikov, Anatoliĭ Sergeevich 3 Kashin, Boris Sergeevich 3 Kirillov, Alexandre Aleksandrovich 3 Kordyukov, Yuri A. 3 Marchuk, Guriĭ Ivanovich 3 Maslov, Klavdii V. 3 Matveev, Vladimir B. 3 Morozova, Elena Aleksandrovna 3 Orlov, Dmitri O. 3 Pastur, Leonid Andreevich 3 Ponomarev, Vladimir Ivanovich 3 Prasad, Gopal 3 Rokhlin, Vladimir Abramovich 3 Schwarz, Albert S. 3 Semënov, Alekseĭ L’vovich 3 Semënov, Evgeniĭ Mikhaĭlovich 3 Shafarevich, Igor’ Rostislavovich 3 Sheĭnman, Oleg Karlovich 3 Shestakov, Ivan Pavlovich 3 Shlosman, Senya B. 3 Skrypnyk, Igor Volodymyrovych 3 Stëpin, Anatoliĭ Mikhaĭlovich 3 Vasil’ev, Viktor Anatol’evich 2 Agranovich, Mikhail Semënovich 2 Aleksandrov, Pavel Sergeevich 2 Alexandrov, Victor A. 2 Aptekarev, Alexander Ivanovich 2 Aref’eva, Irina Yaroslavna 2 Aseev, Sergei M. 2 Bakhvalov, Nikolaĭ Sergeevich ...and 377 more Co-Authors all top 5 Serials 118 Russian Mathematical Surveys 31 Soviet Mathematics. Doklady 22 Uspekhi Matematicheskikh Nauk [N. S.] 11 Functional Analysis and its Applications 7 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Proceedings of the Steklov Institute of Mathematics 5 Soviet Scientific Reviews. Section C 5 Encyclopaedia of Mathematical Sciences 4 Mathematics of the USSR. Izvestiya 4 Graduate Texts in Mathematics 4 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 4 Translations. Series 2. American Mathematical Society 3 Journal of Soviet Mathematics 3 Physica D 3 Moscow Mathematical Journal 3 Series on Knots and Everything 3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Theoretical and Mathematical Physics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Voprosy Istorii Estestvoznaniya i Tekhniki 2 Topology and its Applications 2 Trudy Seminara po Vektornomu i Tenzornomu Analizu 2 Journal of Mathematical Sciences (New York) 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Proceedings of Symposia in Pure Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Translations. Series 2. American Mathematical Society 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 Doklady Akademii Nauk SSSR 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Transactions of the Moscow Mathematical Society 1 Selecta Mathematica Sovietica 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 Mathematics of the USSR, Sbornik 1 Soviet Physics. Doklady 1 St. Petersburg Mathematical Journal 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Doklady Mathematics 1 The Asian Journal of Mathematics 1 Differential Equations 1 Oberwolfach Reports 1 Chebyshevskiĭ Sbornik 1 Graduate Studies in Mathematics 1 Mathematics and Its Applications. Soviet Series 1 Classic Reviews in Mathematics and Mathematical Physics 1 Annales Academiae Paedagogicae Cracoviensis. Studia Mathematica 1 Scientific Issues. Jan Długosz University in Częstochowa. Mathematics all top 5 Fields 118 History and biography (01-XX) 74 Dynamical systems and ergodic theory (37-XX) 68 Partial differential equations (35-XX) 45 Global analysis, analysis on manifolds (58-XX) 40 Manifolds and cell complexes (57-XX) 34 Algebraic topology (55-XX) 29 Differential geometry (53-XX) 29 Quantum theory (81-XX) 24 General and overarching topics; collections (00-XX) 22 Algebraic geometry (14-XX) 18 Operator theory (47-XX) 17 Mechanics of particles and systems (70-XX) 15 Fluid mechanics (76-XX) 11 Functions of a complex variable (30-XX) 11 Ordinary differential equations (34-XX) 10 Difference and functional equations (39-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Relativity and gravitational theory (83-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Optics, electromagnetic theory (78-XX) 2 \(K\)-theory (19-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 3,946 times in 3,063 Documents Cited by ▼ Year ▼ Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002 Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E. 757 1984 Theory of solitons. The method of the inverse problem. (Теория солитонов. Метод обратнойзадачи.) Zbl 0598.35003 Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P. 192 1980 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory. Zbl 0712.58032 Dubrovin, B. A.; Novikov, S. P. 171 1989 The periodic problem for the Korteweg-de Vries equation. Zbl 0299.35017 Novikov, S. P. 146 1974 Non-linear equations of Korteweg-deVries type, finite-zone linear operators, and Abelian varieties. Zbl 0346.35025 Dubrovin, B. A.; Matveev, V. B.; Novikov, S. P. 133 1976 The Hamiltonian formalism and a many-valued analogue of Morse theory. Zbl 0571.58011 Novikov, S. P. 131 1982 Nonlinear equations of Korteweg-de Vries type, finite-band linear operators and abelian varieties. (Nichtlineare Gleichungen Korteweg-de Vriesschen Typs, endlichzonige lineare Operatoren und Abelsche Mannigfaltigkeiten.) Zbl 0326.35011 Dubrovin, B. A.; Matveev, V. B.; Novikov, S. P. 118 1976 Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method. Zbl 0553.35011 Dubrovin, B. A.; Novikov, S. P. 111 1983 Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras. Zbl 0606.58018 Balinskii, A. A.; Novikov, S. P. 97 1985 Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 93 1992 Modern geometry - methods and applications. Part I: The geometry of surfaces, transformation groups, and fields. Transl. from the Russian by Robert G. Burns. Zbl 0529.53002 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 88 1984 Topology of foliations. Zbl 0247.57006 Novikov, S. P. 84 1965 Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. Zbl 0565.57001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 83 1985 On Poisson brackets of hydrodynamic type. Zbl 0591.58012 Dubrovin, B. A.; Novikov, S. P. 82 1984 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010 Krichever, I. M.; Novikov, S. P. 81 1987 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100 Krichever, I. M.; Novikov, S. P. 64 1980 Multivalued functions and functionals. An analogue of the Morse theory. Zbl 0505.58011 Novikov, S. P. 61 1981 Modern geometry. Methods and applications. Textbook. (Sovremennaya geometriya. Metody i prilozheniya. Uchebnoe posobie). 2nd ed., rev. Zbl 0601.53001 Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 57 1986 Finite-zone, two-dimensional, potential Schrödinger operators. Explicit formulas and evolution equations. Zbl 0613.35020 Veselov, A. P.; Novikov, S. P. 56 1984 Integrable systems. I. Zbl 0780.58019 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 46 1985 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012 Krichever, I. M.; Novikov, S. P. 45 1987 Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations. Zbl 0609.35082 Novikov, S. P.; Veselov, A. P. 44 1986 The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 41 1976 Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074 Grinevich, P. G.; Novikov, S. P. 38 1988 Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 38 1990 On the local systems Hamiltonian in the weakly non-local Poisson brackets. Zbl 0991.37041 Maltsev, A. Ya.; Novikov, S. P. 36 2001 Finite-zone, two-dimensional Schrödinger operators. Potential operators. Zbl 0602.35024 Veselov, A. P.; Novikov, S. P. 35 1984 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071 Krichever, I. M.; Novikov, S. P. 32 1980 The methods of algebraic topology from the viewpoint of cobordism theory. Zbl 0176.52401 Novikov, S. P. 32 1969 Modern geometry. (Современная геометрия.) Zbl 0433.53001 Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 32 1980 Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107 Novikov, S. P.; Dynnikov, I. A. 26 1997 Homotopieeigenschaften von Thom-Komplexen. Zbl 0193.51801 Novikov, S. P. 26 1962 Topological invariance of rational Pontrjagin classes. Zbl 0146.19502 Novikov, S. P. 24 1965 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012 Krichever, I. M.; Novikov, S. P. 23 1989 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068 Krichever, I. M.; Novikov, S. P. 23 2003 A periodicity problem for the Korteweg- de Vries and Sturm-Liouville equations. Their connection with algebraic geometry. Zbl 0312.35015 Dubrovin, B. A.; Novikov, S. P. 22 1974 Homotopically equivalent smooth manifolds. I. Zbl 0151.32103 Novikov, S. P. 21 1964 Periodic extremals of many-valued or not-everywhere-positive functionals. Zbl 0585.58009 Novikov, S. P.; Taĭmanov, I. A. 20 1984 The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Zbl 0345.70011 Bogojavlenskii, O. I.; Novikov, S. P. 19 1976 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016 Dynnikov, I. A.; Novikov, S. P. 19 2003 Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Zbl 1108.53001 Novikov, S. P.; Taimanov, I. A. 19 2006 Formal groups, power systems and Adams operators. Zbl 0222.55008 Bukhshtaber, V. M.; Novikov, S. P. 18 1971 Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049 Novikov, S. P.; Shubin, M. A. 17 1986 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122 Krichever, I.; Novikov, S. P. 16 1999 Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078 Krichever, I. M.; Novikov, S. P. 16 1979 The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems. Zbl 0654.76004 Novikov, S. P. 15 1985 Dynamical systems, topology, and conductivity in normal metals. Zbl 1157.82403 Maltsev, A. Ya.; Novikov, S. P. 15 2004 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010 14 2001 Some problems in the topology of manifolds connected with the theory of Thom spaces. Zbl 0094.35902 Novikov, S. P. 14 1960 Modern geometry. Methods of homology theory. (Современная геометрия. Методы теории гомологий.) Zbl 0582.55001 Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 14 1984 Topology of quasiperiodic functions on the plane. Zbl 1148.37043 Dynnikov, I. A.; Novikov, S. P. 14 2005 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132 Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 13 1987 Two-dimensional Schrödinger operators in periodic fields. Zbl 0564.35083 Novikov, S. P. 13 1985 Methoden der algebraischen Topologie vom Standpunkt der Theorie der Kobordismen. Zbl 0169.54503 Novikov, S. P. 13 1967 Periodic solutions of Kirchhoff equations for the free motion of a rigid body in a fluid and the extended Lyusternik-Shnirel’man-Morse theory. I. Zbl 0571.58009 Novikov, S. P.; Shmel’tser, I. 13 1982 Poisson brackets and complex tori. Zbl 0565.58022 Veselov, A. P.; Novikov, S. P. 12 1984 Dynamical systems. IV: Integrable systems. Zbl 0591.58013 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 12 1985 Ground states in a periodic field. Magnetic Bloch functions and vector bundles. Zbl 0489.46055 Dubrovin, B. A.; Novikov, S. P. 11 1980 Traces of elliptic operators on submanifolds and \(K\)-theory. Zbl 0174.41302 Novikov, S. P.; Sternin, B. Yu. 11 1966 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008 11 1990 Spectral theory of commuting operators of rank two with periodic coefficients. Zbl 0514.47035 Novikov, S. P.; Grinevich, P. G. 10 1982 Elliptic operators and submanifolds. Zbl 0174.41303 Novikov, S. P.; Sternin, B. Yu. 10 1966 Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013 10 1994 Schrödinger operators on graphs and symplectic geometry. Zbl 0947.34072 Novikov, S. P. 9 1999 Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061 Krichever, I. M.; Novikov, S. P. 9 1978 Magnetic Bloch functions and vector bundles. Typical dispersion laws and their quantum numbers. Zbl 0483.46054 Novikov, S. P. 8 1981 Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006 Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 8 1971 Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141 Novikov, S. P.; Veselov, A. P. 8 1997 Elements of differential geometry and topology. Textbook. (Ehlementy differentsial’noj geometrii i topologii. Uchebnoe posobie). Zbl 0628.53002 Novikov, S. P.; Fomenko, A. T. 7 1987 Bloch homology. Critical points of functions and closed 1-forms. Zbl 0642.58016 Novikov, S. P. 7 1986 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199 Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 Hydrodynamics of soliton lattices. Zbl 0845.58027 Dubrovin, B. A.; Novikov, S. P. 7 1993 Variational methods and periodic solutions of equations of Kirchhoff type. II. Zbl 0571.58010 Novikov, S. P. 7 1982 The analytic generalized Hopf invariant. Many-valued functionals. Zbl 0619.58002 Novikov, S. P. 7 1984 Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082 Krichever, I. M.; Novikov, S. P. 7 1979 Topology. Zbl 0668.55001 Novikov, S. P. 6 1986 On metric-independent exotic homology. Zbl 1119.58003 Novikov, S. P. 6 2005 Algebro-topological approach in problems of reality. Real variable actions in the theory of finite-zonal solutions of the sine-Gordon equation. Zbl 0546.35071 Novikov, S. P. 6 1984 Critical points on the level surface of multivalent functions. Zbl 0553.58005 Novikov, S. P. 6 1984 Discrete Schrödinger operators and topology. Zbl 0991.47016 Novikov, S. 6 1998 Rationale Pontrjagin-Klassen. Homöomorphismus und Homotopietyp geschlossener Mannigfaltigkeiten. I. Zbl 0146.19601 Novikov, S. P. 6 1965 Algebraic construction and properties of Hermitian analogs of K-theory over rings with involution from the viewpoint of Hamiltonian formalism. Applications to differential topology and the theory of characteristic classes. I. Zbl 0216.45003 Novikov, S. P. 6 1971 Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007 Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 6 1972 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 Levels of quasiperiodic functions on a plane, and Hamiltonian systems. Zbl 0984.37061 Novikov, S. P. 5 1999 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384 Grinevich, P. G.; Novikov, S. P. 5 2009 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066 Grinevich, P. G.; Novikov, S. P. 5 2001 Cohomologies of Steenrod’s algebra. Zbl 0127.38804 Novikov, S. 5 1959 Algebraic construction and properties of hermitian analogs of K-theory over rings with involution from the viewpoint of hamiltonian formalism. Applications to differential topology and the theory of characteristic classes. II. Zbl 0233.57009 Novikov, S. P. 5 1971 Formal groups, power systems and Adams operators. Zbl 0239.55005 Bukhshtaber, V. M.; Novikov, S. P. 5 1971 Algebro-geometric Poisson brackets for real finite-zone solutions of the sine-Gordon equation and the nonlinear Schrödinger equation. Zbl 0574.58015 Dubrovin, B. A.; Novikov, S. P. 5 1982 Poisson brackets and complex tori. Zbl 0581.58017 Veselov, A. P.; Novikov, S. P. 5 1985 Geometry of conservative systems of hydrodynamic type. Averaging method for field-theoretical systems. Zbl 0603.76001 Novikov, S. P. 5 1985 Quasiperiodic structures in topology. Zbl 0813.57029 Novikov, S. P. 5 1993 Géométrie contemporaine. Méthodes et applications. Deuxième partie: Géométrie et topologie des variates. Traduit du russe par Vladimir Kotliar. Zbl 0502.53003 Dubrovin, B.; Novikov, S.; Fomenko, A. 4 1982 On Poisson brackets compatible with algebraic geometry and Korteweg-de Vries dynamics on the set of finite-zone potentials. Zbl 0555.35106 Veselov, A. P.; Novikov, S. P. 4 1982 The semiclassical electron in a magnetic field and lattice. Some problems of low dimensional “periodic” topology. Zbl 0853.57014 Novikov, S. P. 4 1995 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017 Grinevich, P. G.; Novikov, S. P. 4 1995 Topology. Zbl 0839.55001 Novikov, Sergej P. 4 1986 Trivalent graphs and solitons. Zbl 0981.37023 Krichever, I. M.; Novikov, S. P. 4 1999 Igor’ Moiseevich Krichever. Zbl 1489.01018 Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B. 1 2021 Spinning tops and magnetic orbits. Zbl 1466.78008 Novikov, Sergei P. 1 2020 Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter. Zbl 1439.37062 Mal’tsev, A. Ya.; Novikov, S. P. 3 2019 The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems. Zbl 1431.82037 Mal’tsev, A. Ya.; Novikov, S. P. 2 2018 On \(s\)-meromorphic ordinary differential operators. Zbl 1418.34159 Grinevich, P. G.; Novikov, S. P. 1 2016 On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator. Zbl 1330.81080 Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2015 Spectrally meromorphic operators and non-linear systems. Zbl 1320.47046 Grinevich, P. G.; Novikov, S. P. 2 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030 Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Singular soliton operators and indefinite metrics. Zbl 1319.34153 Grinevich, Petr G.; Novikov, Sergey P. 3 2013 Discrete \(SL_{n}\)-connections and self-adjoint difference operators on 2-dimensional manifolds. Zbl 1282.39006 Grinevich, P. G.; Novikov, S. P. 2 2013 Leonid Vital’evich Kantorovich (on the 100th anniversary of his birth). Zbl 1253.01043 Vershik, A. M.; Kutateladze, S. S.; Novikov, S. P. 1 2012 New discretization of complex analysis: the Euclidean and hyperbolic planes. Zbl 1296.30057 Novikov, S. P. 3 2011 Singular solitons and indefinite metrics. Zbl 1248.34132 Grinevich, P. G.; Novikov, S. P. 3 2011 Erratum to: “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles”. Zbl 1278.81065 Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2011 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199 Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 Fields Medals. Zbl 1213.01044 Novikov, S. P. 1 2010 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048 Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles. Zbl 1255.81136 Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2010 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384 Grinevich, P. G.; Novikov, S. P. 5 2009 Dynamical systems and differential forms. Low dimensional Hamiltonian systems. Zbl 1156.58003 Novikov, S. P. 2 2008 Topological library. Part 1: Cobordisms and their applications. Translated by V. O. Manturov. Zbl 1121.55003 2 2007 Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Zbl 1108.53001 Novikov, S. P.; Taimanov, I. A. 19 2006 Topology of quasiperiodic functions on the plane. Zbl 1148.37043 Dynnikov, I. A.; Novikov, S. P. 14 2005 On metric-independent exotic homology. Zbl 1119.58003 Novikov, S. P. 6 2005 Topology of generic Hamiltonian foliations on Riemann surfaces. Zbl 1109.37036 Novikov, S. P. 3 2005 Dynamical systems, topology, and conductivity in normal metals. Zbl 1157.82403 Maltsev, A. Ya.; Novikov, S. P. 15 2004 Topology in the 20th century: a view from the inside. Zbl 1068.01008 Novikov, S. P. 3 2004 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501 2 2004 Topological and algebraic geometry methods in contemporary mathematical physics. Zbl 1107.37003 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 1 2004 The second half of the 20th century and its conclusion: crisis in the physics and mathematics community in Russia and in the West. Zbl 1062.01016 Novikov, S. P. 1 2004 Algebraic topology. (Algebraicheskaya topologiya.) Zbl 1084.57001 Novikov, S. P. 1 2004 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068 Krichever, I. M.; Novikov, S. P. 23 2003 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016 Dynnikov, I. A.; Novikov, S. P. 19 2003 Quasiperiodic functions and dynamical systems in quantum solid state physics. Zbl 1035.37045 Maltsev, A. Ya.; Novikov, S. P. 4 2003 Topological charge of the real periodic finite-gap sine-Gordon solutions. Zbl 1044.35071 Grinevich, P. G.; Novikov, S. P. 2 2003 Topological phenomena in the real periodic sine-Gordon theory. Zbl 1062.35114 Grinevich, P. G.; Novikov, S. P. 1 2003 The second half of the 20th century and its results: the crisis of the society of physicists and mathematicians in Russia and in the West. Zbl 1034.01017 Novikov, S. P. 4 2002 Andrei Aleksandrovich Gonchar (on the occasion of his seventieth birthday). Zbl 1049.01518 Bolibrukh, A. A.; Vitushkin, A. G.; Vladimirov, V. S.; Mishchenko, E. F.; Novikov, S. P.; Osipov, Yu. S.; Sergeev, A. G.; Ul’yanov, P. L.; Faddeev, L. D.; Chirka, E. M. 1 2002 On the local systems Hamiltonian in the weakly non-local Poisson brackets. Zbl 0991.37041 Maltsev, A. Ya.; Novikov, S. P. 36 2001 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010 14 2001 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066 Grinevich, P. G.; Novikov, S. P. 5 2001 Holomorphic bundles and commuting difference operators. Two-point constructions. Zbl 0978.35066 Krichever, I. M.; Novikov, S. P. 2 2000 Algebraic aspects of the theory of multiplications in complex cobordism theory. Zbl 0971.57038 Botvinnik, B. I.; Buchshtaber, V. M.; Novikov, S. P.; Yuzvinskij, S. A. 2 2000 Holomorphic bundles and scalar difference operators: single-point constructions. Zbl 1101.14315 Krichever, I. M.; Novikov, S. P. 1 2000 1. Classical and modern topology. 2. Topological phenomena in real world physics. Special volume of the journal Geometric and Functional Analysis. Zbl 1122.01332 Novikov, Sergey P. 1 2000 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122 Krichever, I.; Novikov, S. P. 16 1999 Schrödinger operators on graphs and symplectic geometry. Zbl 0947.34072 Novikov, S. P. 9 1999 Levels of quasiperiodic functions on a plane, and Hamiltonian systems. Zbl 0984.37061 Novikov, S. P. 5 1999 Trivalent graphs and solitons. Zbl 0981.37023 Krichever, I. M.; Novikov, S. P. 4 1999 Selected works. Appendix: Reminiscences of V. A. Rokhlin by V. I. Arnol’d, A. M. Vershik, S. P. Novikov and Ya. G. Sinaĭ. With commentaries on Rokhlin’s work by N. Yu. Netsvetaev and Vershik. Edited and with a preface by Vershik. (Избранные работы. Воспоминания о В. А. Рохлине.) Zbl 1206.01078 Rokhlin, V. A. 2 1999 Discrete Lagrangian systems on graphs. Symplectic-topological properties. Zbl 0952.37011 Novikov, S. P.; Shvarts, A. S. 1 1999 Discrete Schrödinger operators and topology. Zbl 0991.47016 Novikov, S. 6 1998 Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107 Novikov, S. P.; Dynnikov, I. A. 26 1997 Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141 Novikov, S. P.; Veselov, A. P. 8 1997 Laplace transforms and simplicial connections. Zbl 0928.39009 Dynnikov, I. A.; Novikov, S. P. 2 1997 Solitons, geometry, and topology: on the crossroad. Zbl 0871.00030 2 1997 Algebraic properties of two-dimensional difference operators. Zbl 0903.34072 Novikov, S. P. 1 1997 The Schrödinger operator on graphs and topology. Zbl 0925.34114 Novikov, S. P. 1 1997 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014 2 1996 Theory of the string equation in the double-scaling limit of 1-matrix models. Zbl 1229.81210 Novikov, S. P. 1 1996 The semiclassical electron in a magnetic field and lattice. Some problems of low dimensional “periodic” topology. Zbl 0853.57014 Novikov, S. P. 4 1995 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017 Grinevich, P. G.; Novikov, S. P. 4 1995 Exactly soluble periodic two-dimensional Schrödinger operators. Zbl 0855.35031 Veselov, A. P.; Novikov, S. P. 2 1995 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018 Osipov, Yu. S.; Gonchar, A. A.; Novikov, S. P.; Arnol’d, V. I.; Marchuk, G. I.; Kulish, P. P.; Vladimirov, V. S.; Mishchenko, E. F. 1 1995 Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013 10 1994 String equation. II: Physical solution. Zbl 0836.35142 Grinevich, P. G.; Novikov, S. P. 4 1994 Hydrodynamics of soliton lattices. Zbl 0845.58027 Dubrovin, B. A.; Novikov, S. P. 7 1993 Quasiperiodic structures in topology. Zbl 0813.57029 Novikov, S. P. 5 1993 The Liouville form of averaged Poisson brackets. Zbl 0807.58016 Novikov, S. P.; Mal’tsev, A. Ya. 1 1993 Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 93 1992 Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms. Zbl 0807.16037 Novikov, S. P. 3 1992 Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 38 1990 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008 11 1990 Basic elements of differential geometry and topology. Transl. from the Russian by M. V. Tsaplina. Zbl 0711.53001 Novikov, S. P.; Fomenko, A. T. 4 1990 Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory. Zbl 0734.35114 Novikov, S. P. 3 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031 Krichever, I. M.; Novikov, S. P. 3 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0791.30040 Novikov, S. P. 1 1990 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory. Zbl 0712.58032 Dubrovin, B. A.; Novikov, S. P. 171 1989 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012 Krichever, I. M.; Novikov, S. P. 23 1989 Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074 Grinevich, P. G.; Novikov, S. P. 38 1988 Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator’s theory of closed strings. Zbl 0707.17015 Krichever, I. M.; Novikov, S. P. 2 1988 Analytical theory of homotopy groups. Zbl 0649.55003 Novikov, S. P. 1 1988 Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions. Zbl 0704.35137 Grinevich, P. G.; Novikov, S. P. 1 1988 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010 Krichever, I. M.; Novikov, S. P. 81 1987 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012 Krichever, I. M.; Novikov, S. P. 45 1987 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132 Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 13 1987 Elements of differential geometry and topology. Textbook. (Ehlementy differentsial’noj geometrii i topologii. Uchebnoe posobie). Zbl 0628.53002 Novikov, S. P.; Fomenko, A. T. 7 1987 Modern geometry. Methods and applications. Textbook. (Sovremennaya geometriya. Metody i prilozheniya. Uchebnoe posobie). 2nd ed., rev. Zbl 0601.53001 Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T. 57 1986 Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations. Zbl 0609.35082 Novikov, S. P.; Veselov, A. P. 44 1986 Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049 Novikov, S. P.; Shubin, M. A. 17 1986 Bloch homology. Critical points of functions and closed 1-forms. Zbl 0642.58016 Novikov, S. P. 7 1986 Topology. Zbl 0668.55001 Novikov, S. P. 6 1986 Topology. Zbl 0839.55001 Novikov, Sergej P. 4 1986 Critical points and level surfaces of multivalued functions. Zbl 0588.58006 Novikov, S. P. 1 1986 Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras. Zbl 0606.58018 Balinskii, A. A.; Novikov, S. P. 97 1985 Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. Zbl 0565.57001 Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. 83 1985 Integrable systems. I. Zbl 0780.58019 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 46 1985 The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems. Zbl 0654.76004 Novikov, S. P. 15 1985 Two-dimensional Schrödinger operators in periodic fields. Zbl 0564.35083 Novikov, S. P. 13 1985 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,028 Authors 55 Ma, Wen-Xiu 47 Geng, Xianguo 35 Ferapontov, Evgeny Vladimirovich 32 Gerdzhikov, Vladimir Stefanov 30 Grinevich, Pëtr Georgievich 26 Krichever, Igor’ Moiseevich 25 Pavlov, Maxim V. 23 Bukhshtaber, Viktor Matveevich 23 Taĭmanov, Iskander Asanovich 22 Novikov, Sergeĭ Petrovich 22 Veselov, Alexander Petrovich 21 Konopelchenko, Boris Georgievich 20 Mironov, Andreĭ Evgen’evich 20 Prykarpatsky, Anatoliy Karolevych 19 Fan, Engui 19 Novikov, Roman G. 18 Biondini, Gino 17 Khabibullin, Ismagil Talgatovich 17 Sheĭnman, Oleg Karlovich 16 Dubrovin, Boris Anatol’evich 16 El, Gennady A. 16 Santini, Paolo Maria 15 Malomed, Boris A. 15 Simon, Barry 14 Bai, Chengming 14 Gesztesy, Fritz 14 Lorenzoni, Paolo 14 Mokhov, Oleg I. 14 Shabat, Alekseĭ Borisovich 14 Shamolin, Maksim Vladimirovich 14 Zakharov, Vladimir Evgen’evich 13 Ivanov, Rossen I. 13 Pogrebkov, Andrei K. 13 Samoĭlenko, Valeriĭ Grygorovych 13 Smirnov, Alexander O. 13 Vitolo, Raffaele F. 12 Ablowitz, Mark Jay 12 Bobenko, Alexander Ivanovich 12 Chen, Jinbing 12 Mal’tsev, Andreĭ Yakovlevich 11 Bogoyavlenskij, Oleg Igorevich 11 Johnson, Russell Allan 11 Khasanov, Aknazar Bekdurdievich 11 Tian, Shoufu 10 Bunkova, Elena Yur’evna 10 Dragović, Vladimir 10 Fordy, Allan P. 10 Klein, Christian 9 Dobrokhotov, Sergei Yurievich 9 Dubrovsky, V. G. 9 Falqui, Gregorio 9 Kiselev, Vladimir Valer’evich 9 Mironov, Andrei D. 9 Morozov, Alexei Yurievich 9 Schlichenmaier, Martin 9 Tsarev, Sergej Petrovich 9 Zhang, Youjin 8 Boiti, Marco 8 Casati, Matteo 8 Enolskiĭ, Viktor Zelikovich 8 He, Guoliang 8 Hong, Yanyong 8 Khakimova, Aĭgul’ Rinatovna 8 Kolesnikov, Pavel Sergeevich 8 Kulish, Petr Petrovich 8 Liu, Siqi 8 Luo, Xudan 8 Mikhailov, Alexander Vasil’evich 8 Morozov, Oleg I. 8 Nijhoff, Frank W. 8 Pedroni, Marco 8 Pempinelli, Flora 8 Prinari, Barbara 8 Qiao, Zhijun 8 Rybkin, Alexei 8 Savin, Anton Yur’evich 8 Sokolov, Vladimir Vyacheslavovich 8 Van der Mee, Cornelis Victor Maria 8 Wei, Jiao 8 Xue, Bo 7 Abenda, Simonetta 7 Adler, Vsevolod Eduardovich 7 Blackmore, Denis L. 7 Chen, Yong 7 Cox, Ben Lewis 7 Dai, Huihui 7 Doliwa, Adam 7 Dynnikov, Ivan Alekseevich 7 Grahovski, Georgi G. 7 Grava, Tamara 7 Harnad, John 7 Hoefer, Mark A. 7 Hou, Yu 7 Korotyaev, Evgeny L. 7 Kostov, Nikolay A. 7 Lou, Senyue 7 Natanzon, Sergei M. 7 Ortenzi, Giovanni 7 Saveliev, Mikhail V. 7 Shapovalov, Aleksandr V. ...and 2,928 more Authors all top 5 Cited in 377 Serials 200 Theoretical and Mathematical Physics 167 Journal of Mathematical Physics 136 Physica D 130 Communications in Mathematical Physics 104 Journal of Geometry and Physics 80 Functional Analysis and its Applications 59 Physics Letters. 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Second Series 7 Journal of Algebra and its Applications 6 International Journal of Modern Physics A 6 Communications on Pure and Applied Mathematics 6 Journal of Fluid Mechanics 6 Mathematical Methods in the Applied Sciences 6 Rocky Mountain Journal of Mathematics 6 Czechoslovak Mathematical Journal 6 Geometriae Dedicata 6 Integral Equations and Operator Theory 6 Journal of Computational and Applied Mathematics 6 Discrete & Computational Geometry ...and 277 more Serials all top 5 Cited in 62 Fields 1,287 Partial differential equations (35-XX) 1,137 Dynamical systems and ergodic theory (37-XX) 435 Quantum theory (81-XX) 358 Differential geometry (53-XX) 284 Algebraic geometry (14-XX) 247 Nonassociative rings and algebras (17-XX) 239 Manifolds and cell complexes (57-XX) 239 Global analysis, analysis on manifolds (58-XX) 218 Ordinary differential equations (34-XX) 164 Mechanics of particles and systems (70-XX) 144 Fluid mechanics (76-XX) 141 Algebraic topology (55-XX) 138 Operator theory (47-XX) 123 Statistical mechanics, structure of matter (82-XX) 88 Difference and functional equations (39-XX) 86 Numerical analysis (65-XX) 83 Functions of a complex variable (30-XX) 69 Optics, electromagnetic theory (78-XX) 62 Relativity and gravitational theory (83-XX) 57 Several complex variables and analytic spaces (32-XX) 54 Special functions (33-XX) 52 Associative rings and algebras (16-XX) 49 Topological groups, Lie groups (22-XX) 45 Mechanics of deformable solids (74-XX) 34 Commutative algebra (13-XX) 34 Group theory and generalizations (20-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 30 Functional analysis (46-XX) 30 Computer science (68-XX) 25 Combinatorics (05-XX) 25 Convex and discrete geometry (52-XX) 23 Number theory (11-XX) 23 Probability theory and stochastic processes (60-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Category theory; homological algebra (18-XX) 17 History and biography (01-XX) 17 Integral equations (45-XX) 17 Systems theory; control (93-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Geometry (51-XX) 14 \(K\)-theory (19-XX) 12 General and overarching topics; collections (00-XX) 12 Field theory and polynomials (12-XX) 12 Potential theory (31-XX) 12 Approximations and expansions (41-XX) 12 Biology and other natural sciences (92-XX) 11 Geophysics (86-XX) 10 General topology (54-XX) 8 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 7 Statistics (62-XX) 6 Integral transforms, operational calculus (44-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 General algebraic systems (08-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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