Encyclopaedia of Mathematical Sciences Short Title: Encycl. Math. Sci. Publisher: Springer, Berlin ISSN: 0938-0396 Online: https://link.springer.com/bookseries/855 Original: Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya Comments: Book series Documents Indexed: 104 Publications (since 1987) all top 5 Latest Volumes 142 (2004) 141 (2004) 140 (2002) 139 (2011) 138 (2011) 137 (2008) 136 (2006/2017) 135 (2005) 134 (2005) 133 (2005) 132 (2004) 131 (2002) 130 (2002/2015) 127 (2003) 126 (2002) 125 (2003) 124 (2002) 122 (2006) 121 (2004) 110 (2004) 103 (2013) 102 (2005) 101 (2000) 100 (2000) 91 (2001) 90 (1997) 87 (2004) 86 (2000) 85 (1997) 79 (1997) 77 (1996) 74 (1994) 73 (1992) 72 (1995) 70 (1993) 69 (1990) 67 (2003) 66 (1995) 65 (1996) 64 (1994) 63 (1994) 62 (1992) 60 (1991) 59 (1995) 58 (1993) 57 (1995/2014) 55 (1994) 54 (1993) 51 (1995) 50 (1996) 49 (1995/2005) 48 (1992) 45 (1998) 44 (1998) 42 (1992) 41 (1994) 39 (1993) 38 (1994) 37 (1993) 36 (1998) 35 (1996) 34 (1999) 33 (1993) 32 (1991) 31 (1994) 30 (1992) 29 (1993) 28 (1991) 27 (1991) 26 (1991) 25 (1998) 24 (2004) 23 (1994) 22 (1994) 21 (2000) 20 (1993) 19 (1992) 18 (1991) 17 (1990) 16 (1994) 15 (1991) 14 (1990) 13 (1989) 12 (1996) 11 (1990/2005) 10 (1990) 9 (1989) 8 (1994) 7 (1990) 6 (1993) 5 (1994) 4 (1990/2001) 3 (1987-2006) 2 (1989) 1 (1988) all top 5 Authors / Editors 69 Gamkrelidze, Revaz Valerianovich 18 Shafarevich, Igor’ Rostislavovich 10 Arnol’d, Vladimir Igorevich 8 Shubin, Mikhail Aleksandrovich 7 Kostrikin, Alekseĭ Ivanovich 7 Parshin, Alekseĭ Nikolaevich 6 Egorov, Yuriĭ Vladimirovich 6 Nikol’skiĭ, Nikolaĭ Kapitonovich 5 Khavin, Viktor Petrovich 5 Novikov, Sergeĭ Petrovich 4 Khenkin, Gennadiĭ Markovich 3 Arkhangel’skiĭ, Aleksandr Vladimirovich 3 Onishchik, Arkadiĭ L’vovich 3 Takesaki, Masamichi 3 Vinberg, Èrnest Borisovich 2 Anosov, Dmitriĭ Viktorovich 2 Derksen, Harm 2 Freudenburg, Gene 2 Kemper, Gregor 2 Kirillov, Alexandre Aleksandrovich 2 Kozlov, Valeriĭ Vasil’evich 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Popov, Vladimir Leonidovich 2 Sinaĭ, Yakov Grigor’evich 2 Vitushkin, Anatoliĭ Georgievich 1 Agrachev, Andreĭ Aleksandrovich 1 Agranovich, Mikhail Semënovich 1 Barth, Wolf Paul 1 Blackadar, Bruce E. 1 Bonatti, Christian 1 Bunimovich, Leonid Abramovich 1 Burago, Yuriĭ Dmitrievich 1 Campbell, H. E. A. Eddy 1 Campo, Nobert A. 1 Carter, J. Scott 1 Cuntz, Joachim 1 Dani, Shrikrishna Gopalrao 1 Díaz, Lorenzo Justiniano 1 Dobrushin, Roland L’vovich 1 Dolzhansky, Felix V. 1 Fedoryuk, Mikhail V. 1 Fel’dman, Naum Il’ich 1 Gabriel, Pierre 1 Gindikin, Simon Grigorevich 1 Gonchar, Andreĭ Aleksandrovich 1 Gorbatsevich, Vladimir Vital’evich 1 Goryunov, Victor V. 1 Grauert, Hans 1 Kamada, Seiichi 1 Kesten, Harry 1 Kornfel’d, I. P. 1 Lakshmibai, Venkatramani 1 Lando, Sergei K. 1 Lang, Serge 1 Lorenz, Martin 1 Lyashko, O. V. 1 Manin, Yuriĭ Ivanovich 1 Maslova, Nina Borisovna 1 Maz’ya, Vladimir Gilelevich 1 Narasimhan, Raghavan 1 Neĭshtadt, Anatoliĭ Iserovich 1 Nesterenko, Yuriĭ Valentinovich 1 Osserman, Robert 1 Panchishkin, Alexei A. 1 Pesin, Yakov Borisovich 1 Peternell, Thomas Martin 1 Pontryagin, Lev Semënovich 1 Postnikov, Mikhail Mikhaĭlovich 1 Prokhorov, Yuriĭ Vasil’evich 1 Raghavan, Komaranapuram N. 1 Remmert, Reinhold W. 1 Renner, Lex E. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Roiter, Andrei V. 1 Rokhlin, Vladimir Abramovich 1 Rørdam, Mikael 1 Sachkov, Yuriĭ Leonidovich 1 Saito, Masahico 1 Saveliev, Nikolai 1 Shiryaev, Al’bert Nikolaevich 1 Skandalis, Georges 1 Smillie, John 1 Størmer, Erling 1 Suhov, Yurii Mikhailovich 1 Szász, Domokos 1 Tevelev, Evgueni A. 1 Timashev, Dmitri A. 1 Tsygan, Boris 1 Vasil’ev, Viktor Anatol’evich 1 Vershik, Anatoliĭ Moiseevich 1 Viana, Marcelo 1 Wehlau, David Louis 1 Yakobson, M. V. 1 Zagier, Don Bernard 1 Zalgaller, Viktor Abramovich 1 Zelikin, Mikhail Il’ich 1 Zvonkin, Alexander K. all top 5 Fields 70 General and overarching topics; collections (00-XX) 19 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Number theory (11-XX) 9 Commutative algebra (13-XX) 9 Nonassociative rings and algebras (17-XX) 9 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 8 Group theory and generalizations (20-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Ordinary differential equations (34-XX) 4 General topology (54-XX) 3 \(K\)-theory (19-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 4,773 times in 4,443 Documents Cited by ▼ Year ▼ Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034 Takesaki, M. 753 2002 Control theory from the geometric viewpoint. Zbl 1062.93001 Agrachev, Andrei A.; Sachkov, Yuri L. 468 2004 Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003 Blackadar, Bruce 431 2006 Theory of operator algebras. II. Zbl 1059.46031 Takesaki, Masamichi 317 2003 Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001 Lando, S. K.; Zvonkin, A. K. 275 2004 Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020 Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 274 2005 Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002 Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I. 261 2006 Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001 Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 201 1994 Computational invariant theory. Zbl 1011.13003 Derksen, Harm; Kemper, Gregor 161 2002 Theory of operator algebras. III. Zbl 1059.46032 Takesaki, Masamichi 120 2003 Homogeneous spaces and equivariant embeddings. Zbl 1237.14057 Timashev, Dmitry A. 110 2011 Algebraic theory of locally nilpotent derivations. Zbl 1121.13002 Freudenburg, Gene 104 2006 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001 Gabriel, P.; Roiter, A. V. 102 1992 Linear algebraic monoids. Zbl 1085.20041 Renner, Lex E. 73 2005 Invariants for homology 3-spheres. Zbl 0998.57001 Saveliev, N. 67 2002 Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012 Rørdam, Mikael; Størmer, Erling 66 2002 Number theory III: Diophantine geometry. Zbl 0744.14012 Lang, Serge 62 1991 Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001 Derksen, Harm; Kemper, Gregor 54 2015 Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010 48 1994 Surfaces in 4-space. Zbl 1078.57001 Carter, Scott; Kamada, Seiichi; Saito, Masahico 46 2004 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 45 2008 Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001 Freudenburg, Gene 45 2017 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 42 1993 Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008 41 1988 Modular invariant theory. Zbl 1216.14001 Campbell, H. E. A. Eddy; Wehlau, David L. 38 2011 Projective duality and homogeneous spaces. Zbl 1071.14052 Tevelev, E. A. 36 2005 Multiplicative invariant theory. Zbl 1078.13003 Lorenz, Martin 34 2005 Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050 Kozlov, V. V. 29 2003 Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001 Postnikov, M. M. 27 2001 Hard ball systems and the Lorentz gas. Zbl 0953.00014 25 2000 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 20 1998 Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009 19 1994 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 19 1994 Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002 Manin, Yu. I.; Panchishkin, A. A. 18 2005 Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023 18 1993 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 16 2000 Cyclic homology in non-commutative geometry. Zbl 1045.46043 Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris 15 2004 Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009 14 1989 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 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 14 1993 Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014 12 1989 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 12 1997 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008 11 1990 Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006 11 1993 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 General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007 9 1990 Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024 9 1992 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002 Zelikin, M. I. 8 2000 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500 Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action. Zbl 0986.14001 8 2002 Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028 8 1993 Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001 Dolzhansky, Felix V. 7 2013 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 7 1998 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001 Shafarevich, I. R. 7 1990 Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025 7 1991 Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017 6 1998 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 6 1994 Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027 6 1991 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 6 1994 General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014 5 1995 Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008 5 1999 Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010 5 1994 Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016 5 1990 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 5 1992 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 5 1998 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 4 1995 Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011 4 1990 Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton. Zbl 0778.00010 4 1990 Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007 4 1997 Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010 4 1993 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 3 1996 Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501 Shafarevich, Igor R. 3 2005 Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023 3 1987 Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029 3 1992 Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007 3 1994 Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006 2 1995 General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013 2 1996 Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011 2 1994 Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010 2 1994 Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014 2 1991 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014 2 1996 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501 2 2004 Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009 2 1993 Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061 2 1993 Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007 1 1989 Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003 1 1996 Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009 1 1996 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 1 1998 Probability on discrete structures. Zbl 1025.60001 1 2004 Several complex variables VI. Complex manifolds. Zbl 0711.00012 1 1990 Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012 1 1991 Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012 1 1991 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 1 1993 Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007 1 1994 Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Zbl 1391.13001 Freudenburg, Gene 45 2017 Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001 Derksen, Harm; Kemper, Gregor 54 2015 Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin. Zbl 1286.86001 Dolzhansky, Felix V. 7 2013 Homogeneous spaces and equivariant embeddings. Zbl 1237.14057 Timashev, Dmitry A. 110 2011 Modular invariant theory. Zbl 1216.14001 Campbell, H. E. A. Eddy; Wehlau, David L. 38 2011 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 45 2008 Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras. Zbl 1092.46003 Blackadar, Bruce 431 2006 Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002 Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I. 261 2006 Algebraic theory of locally nilpotent derivations. Zbl 1121.13002 Freudenburg, Gene 104 2006 Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020 Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 274 2005 Linear algebraic monoids. Zbl 1085.20041 Renner, Lex E. 73 2005 Projective duality and homogeneous spaces. Zbl 1071.14052 Tevelev, E. A. 36 2005 Multiplicative invariant theory. Zbl 1078.13003 Lorenz, Martin 34 2005 Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002 Manin, Yu. I.; Panchishkin, A. A. 18 2005 Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501 Shafarevich, Igor R. 3 2005 Control theory from the geometric viewpoint. Zbl 1062.93001 Agrachev, Andrei A.; Sachkov, Yuri L. 468 2004 Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001 Lando, S. K.; Zvonkin, A. K. 275 2004 Surfaces in 4-space. Zbl 1078.57001 Carter, Scott; Kamada, Seiichi; Saito, Masahico 46 2004 Cyclic homology in non-commutative geometry. Zbl 1045.46043 Cuntz, Joachim; Skandalis, Georges; Tsygan, Boris 15 2004 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501 2 2004 Probability on discrete structures. Zbl 1025.60001 1 2004 Theory of operator algebras. II. Zbl 1059.46031 Takesaki, Masamichi 317 2003 Theory of operator algebras. III. Zbl 1059.46032 Takesaki, Masamichi 120 2003 Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov. Zbl 1104.37050 Kozlov, V. V. 29 2003 Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034 Takesaki, M. 753 2002 Computational invariant theory. Zbl 1011.13003 Derksen, Harm; Kemper, Gregor 161 2002 Invariants for homology 3-spheres. Zbl 0998.57001 Saveliev, N. 67 2002 Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras. Zbl 0985.00012 Rørdam, Mikael; Størmer, Erling 66 2002 Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action. Zbl 0986.14001 8 2002 Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev. Zbl 0993.53001 Postnikov, M. M. 27 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 Hard ball systems and the Lorentz gas. Zbl 0953.00014 25 2000 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 16 2000 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002 Zelikin, M. I. 8 2000 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500 Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008 5 1999 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 20 1998 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 7 1998 Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017 6 1998 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 5 1998 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 1 1998 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 12 1997 Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007 4 1997 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 3 1996 General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013 2 1996 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014 2 1996 Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003 1 1996 Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009 1 1996 General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014 5 1995 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 4 1995 Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006 2 1995 Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001 Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 201 1994 Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010 48 1994 Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009 19 1994 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 19 1994 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 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 6 1994 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 6 1994 Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010 5 1994 Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007 3 1994 Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011 2 1994 Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010 2 1994 Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007 1 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 42 1993 Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023 18 1993 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 14 1993 Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob. Zbl 0786.00006 11 1993 Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028 8 1993 Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010 4 1993 Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009 2 1993 Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061 2 1993 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 1 1993 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001 Gabriel, P.; Roiter, A. V. 102 1992 Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024 9 1992 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 5 1992 Commutative harmonic analysis IV: harmonic analysis in \(R^ n\). Transl from the Russian by J. Peetre. Zbl 0741.00029 3 1992 Number theory III: Diophantine geometry. Zbl 0744.14012 Lang, Serge 62 1991 Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025 7 1991 Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027 6 1991 Commutative harmonic analysis I. General survey. Classical aspects. Transl. from the Russian. Zbl 0728.00014 2 1991 Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012 1 1991 Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012 1 1991 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008 11 1990 General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007 9 1990 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001 Shafarevich, I. R. 7 1990 Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016 5 1990 Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011 4 1990 Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton. Zbl 0778.00010 4 1990 Several complex variables VI. Complex manifolds. Zbl 0711.00012 1 1990 Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009 14 1989 Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014 12 1989 Several complex variables III. Geometric function theory. Transl. from the Russian. Zbl 0658.00007 1 1989 Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008 41 1988 Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023 3 1987 all cited Publications top 5 cited Publications all top 5 Cited by 4,819 Authors 42 Sukochev, Fedor Anatol’evich 40 Sachkov, Yuriĭ Leonidovich 27 Agrachev, Andreĭ Aleksandrovich 24 Peralta, Antonio M. 20 Boscain, Ugo 20 Hamhalter, Jan 19 Yang, Jiagang 18 Bonatti, Christian 18 Farah, Ilijas 18 Junge, Marius 18 Longo, Roberto 17 Arzhantsev, Ivan Vladimirovich 17 Bikchentaev, Aĭrat Midkhatovich 16 Houdayer, Cyril 16 Sigalotti, Mario 16 Trélat, Emmanuel 15 Can, Mahir Bilen 15 Mamaev, Ivan Sergeevich 15 Zanin, Dmitriy V. 14 Caspers, Martijn 14 Chirvăsitu, Alexandru 14 Potrie, Rafael 14 Tanimoto, Yoh 13 Barilari, Davide 13 Biggs, Rory 13 Borisov, Alekseĭ Vladimirovich 13 Díaz, Lorenzo Justiniano 13 Kozlov, Valeriĭ Vasil’evich 13 Lupini, Martino 13 Markeev, Anatoliĭ Pavlovich 13 Sezer, Müfit 12 Fidaleo, Francesco 12 Neĭshtadt, Anatoliĭ Iserovich 12 Remsing, Claudiu-Cristian 11 Amini, Massoud 11 Chapuy, Guillaume 11 Domokos, Mátyás 11 Huang, Jinghao 11 Le Donne, Enrico 11 Mashtakov, Alexey P. 11 Seaton, Christopher 11 Simson, Daniel 11 Skalski, Adam G. 10 Avdeev, Roman S. 10 Bessa, Mário 10 Bochi, Jairo 10 Caillau, Jean-Baptiste 10 Chitour, Yacine 10 Daws, Matthew 10 Herbig, Hans-Christian 10 Kaliman, Shulim I. 10 Kilin, Aleksandr Aleksandrovich 10 Panyushev, Dmitri Ivanovich 10 Rizzi, Luca 10 Tomatsu, Reiji 10 Valls Anglés, Cláudia 10 Zaidenberg, Mikhail G. 9 Blecher, David P. 9 Ciaglia, Florio Maria 9 Crovisier, Sylvain 9 Dołęga, Maciej 9 Duits, Remco 9 El Kahoui, M’hammed 9 Freudenburg, Gene 9 Gelfert, Katrin Grit 9 Kawamura, Katsunori 9 Ogata, Yoshiko 9 Podobryaev, Alekseĭ V. 9 Todorov, Ivan G. 9 Turilova, Ekaterina A. 9 Ueda, Yoshimichi 9 Viana, Marcelo 8 Araújo, Vítor 8 Beltiţă, Daniel 8 Bloch, Anthony Michael 8 Bonnard, Bernard 8 Borovoi, Mikhail V. 8 Chen, Yin 8 Chierchia, Luigi 8 Hayes, Ben 8 Ibort, Alberto 8 Isono, Yusuke 8 Kohls, Martin 8 Kokkonen, Petri 8 Labuschagne, Louis E. 8 Łuczak, Andrzej 8 Marmo, Giuseppe 8 Morales, Alejandro Henry 8 Mukherjee, Kunal K. 8 Rennie, Adam 8 Shank, R. James 8 Silva Leite, Fátima 8 Sims, Aidan 8 Thiel, Hannes 8 Tralle, Aleksy E. 8 Vidal, Claudio 8 Yang, Dawei 7 Alekseevskiĭ, Dmitriĭ Vladimirovich 7 Ber, Aleksey Feliksovich 7 Bocheński, Maciej Franciszek ...and 4,719 more Authors all top 5 Cited in 546 Journals 219 Journal of Functional Analysis 135 Journal of Algebra 121 Advances in Mathematics 116 Journal of Mathematical Analysis and Applications 109 Communications in Mathematical Physics 95 Transactions of the American Mathematical Society 85 Proceedings of the American Mathematical Society 81 Journal of Mathematical Physics 63 Journal of Pure and Applied Algebra 63 Regular and Chaotic Dynamics 60 Ergodic Theory and Dynamical Systems 58 Journal of Mathematical Sciences (New York) 56 Journal of Dynamical and Control Systems 52 Mathematische Zeitschrift 51 Linear Algebra and its Applications 43 Transformation Groups 41 Journal of Geometry and Physics 41 Proceedings of the Steklov Institute of Mathematics 40 Communications in Algebra 39 International Journal of Mathematics 35 Journal of Differential Equations 35 Mathematische Annalen 35 Topology and its Applications 35 Journal of High Energy Physics 32 SIAM Journal on Control and Optimization 29 Discrete and Continuous Dynamical Systems 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Israel Journal of Mathematics 25 Annales de l’Institut Fourier 25 Duke Mathematical Journal 25 Differential Geometry and its Applications 24 Journal of Physics A: Mathematical and Theoretical 23 Letters in Mathematical Physics 23 Journal für die Reine und Angewandte Mathematik 23 Journal of the European Mathematical Society (JEMS) 22 Reports on Mathematical Physics 22 Geometriae Dedicata 22 Journal of Symbolic Computation 22 Celestial Mechanics and Dynamical Astronomy 21 Annales Henri Poincaré 20 Journal of Statistical Physics 20 Bulletin of the London Mathematical Society 20 Functional Analysis and its Applications 20 Journal of the London Mathematical Society. Second Series 19 Reviews in Mathematical Physics 19 Inventiones Mathematicae 19 Lobachevskii Journal of Mathematics 18 Mathematics of Computation 18 Siberian Mathematical Journal 18 Doklady Mathematics 18 Annals of Mathematics. Second Series 17 Mathematical Notes 17 Journal of Dynamics and Differential Equations 17 Russian Journal of Nonlinear Dynamics 16 Nonlinearity 16 Studia Mathematica 16 Integral Equations and Operator Theory 15 Nuclear Physics. B 15 Compositio Mathematica 15 Memoirs of the American Mathematical Society 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Physica D 15 The Journal of Geometric Analysis 15 Journal of Algebra and its Applications 15 Journal of Noncommutative Geometry 14 Linear and Multilinear Algebra 14 Illinois Journal of Mathematics 14 Acta Applicandae Mathematicae 14 Journal of Knot Theory and its Ramifications 14 Journal of Nonlinear Science 14 Algebras and Representation Theory 14 Acta Mathematica Sinica. English Series 14 Complex Analysis and Operator Theory 13 Physics Letters. A 13 Journal of Combinatorial Theory. Series A 13 Manuscripta Mathematica 13 European Journal of Combinatorics 13 Russian Journal of Mathematical Physics 13 Positivity 13 Banach Journal of Mathematical Analysis 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Canadian Journal of Mathematics 12 Glasgow Mathematical Journal 12 Journal of Number Theory 12 Advances in Applied Mathematics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Expositiones Mathematicae 12 Indagationes Mathematicae. New Series 12 Journal de Théorie des Nombres de Bordeaux 12 Selecta Mathematica. New Series 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Kyoto Journal of Mathematics 12 Annals of Functional Analysis 11 International Journal of Theoretical Physics 11 Automatica 11 Proceedings of the Edinburgh Mathematical Society. Series II 11 Systems & Control Letters 11 Geometric and Functional Analysis. GAFA 11 Algebraic & Geometric Topology 11 Journal of the Australian Mathematical Society ...and 446 more Journals all top 5 Cited in 62 Fields 1,202 Functional analysis (46-XX) 708 Dynamical systems and ergodic theory (37-XX) 633 Algebraic geometry (14-XX) 466 Quantum theory (81-XX) 423 Differential geometry (53-XX) 415 Operator theory (47-XX) 346 Group theory and generalizations (20-XX) 311 Topological groups, Lie groups (22-XX) 303 Commutative algebra (13-XX) 303 Mechanics of particles and systems (70-XX) 249 Associative rings and algebras (16-XX) 246 Manifolds and cell complexes (57-XX) 242 Combinatorics (05-XX) 241 Calculus of variations and optimal control; optimization (49-XX) 213 Number theory (11-XX) 207 Nonassociative rings and algebras (17-XX) 179 Global analysis, analysis on manifolds (58-XX) 177 Systems theory; control (93-XX) 165 Several complex variables and analytic spaces (32-XX) 163 Ordinary differential equations (34-XX) 159 Partial differential equations (35-XX) 144 Probability theory and stochastic processes (60-XX) 108 Linear and multilinear algebra; matrix theory (15-XX) 108 Abstract harmonic analysis (43-XX) 102 Statistical mechanics, structure of matter (82-XX) 99 Category theory; homological algebra (18-XX) 75 Functions of a complex variable (30-XX) 73 Mathematical logic and foundations (03-XX) 71 Computer science (68-XX) 64 Numerical analysis (65-XX) 63 \(K\)-theory (19-XX) 63 Algebraic topology (55-XX) 59 Measure and integration (28-XX) 58 Fluid mechanics (76-XX) 55 Information and communication theory, circuits (94-XX) 52 General topology (54-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 47 Convex and discrete geometry (52-XX) 43 Geometry (51-XX) 42 Biology and other natural sciences (92-XX) 41 Relativity and gravitational theory (83-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 28 Statistics (62-XX) 27 Field theory and polynomials (12-XX) 26 Operations research, mathematical programming (90-XX) 23 Real functions (26-XX) 23 Special functions (33-XX) 22 Mechanics of deformable solids (74-XX) 22 Optics, electromagnetic theory (78-XX) 18 Difference and functional equations (39-XX) 18 Approximations and expansions (41-XX) 16 History and biography (01-XX) 15 Potential theory (31-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 General and overarching topics; collections (00-XX) 8 Integral transforms, operational calculus (44-XX) 5 General algebraic systems (08-XX) 5 Integral equations (45-XX) 4 Sequences, series, summability (40-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) Citations by Year