Mathematical Surveys and Monographs Short Title: Math. Surv. Monogr. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 0076-5376; 2331-7159/e Online: http://www.ams.org/bookstore/survserieshttp://www.ams.org/publications/ebooks/emonographs Predecessor: Mathematical Surveys Comments: Book series; Indexed cover-to-cover Documents Indexed: 265 Publications (since 1984) all top 5 Latest Volumes 271 (2022) 270 (2022) 269 (2022) 268 (2022) 267 (2022) 266 (2022) 265 (2022) 264 (2021) 263 (2021) 262 (2021) 261 (2021) 260 (2021) 259 (2021) 258 (2021) 257 (2021) 256 (2021) 255 (2021) 254 (2021) 253 (2021) 252 (2021) 251 (2020) 250 (2020) 249 (2020) 248 (2020) 247 (2020) 246 (2020) 245 (2019) 244 (2019) 243 (2019) 242 (2019) 241 (2019) 240 (2019) 239 (2019) 238 (2019) 237 (2019) 236 (2018) 235 (2018) 234 (2018) 233 (2018) 232 (2018) 231 (2018) 230 (2018) 229 (2018) 228 (2018) 227 (2017) 226 (2017) 225 (2017) 224 (2017) 223 (2017) 222 (2017) 221, Part 2 (2017) 221, Part 1 (2017) 220 (2017) 219 (2017) 218 (2017) 217, Part 2 (2017) 217, Part 1 (2017) 216 (2017) 215 (2016) 214 (2016) 213 (2016) 212 (2016) 211 (2016) 210 (2016) 209 (2015) 208 (2015) 207 (2015) 206 (2015) 205 (2015) 204 (2015) 203 (2015) 202 (2015) 201 (2014) 200 (2014) 199 (2014) 198 (2014) 197 (2014) 196 (2014) 195 (2014) 194 (2014) 193 (2013) 192 (2013) 191 (2013) 190 (2013) 189 (2013) 188 (2013) 187 (2013) 186 (2013) 185 (2013) 184 (2012) 183 (2012) 182 (2012) 181 (2012) 180 (2012) 179 (2011) 178 (2011) 177 (2011) 176 (2011) 175 (2011) 174 (2011) ...and 163 more Volumes all top 5 Authors / Editors 10 Lyons, Richard 10 Solomon, Ronald Mark 6 Gorenstein, Daniel 5 Chow, Bennett 5 Knopf, Dan 5 Maz’ya, Vladimir Gilelevich 5 Smith, Stephen D. 4 Bogachev, Vladimir Igorevich 4 Chu, Sunchin 4 Glickenstein, David 4 Guenther, Christine M. 4 Isenberg, James A. 4 Ivey, Thomas A. 4 Lu, Peng 4 Luo, Feng 4 Ni, Lei 3 Aschbacher, Michael George 3 Freese, Ralph S. 3 Giannopoulos, Apostolos A. 3 Gorenstein, Daniel 3 Helgason, Sigurdur 3 Rossmann, Jürgen 3 Vlǎduţ, Sergei Georgievich 3 Williams, Dana P. 2 Ammari, Habib M. 2 Artstein-Avidan, Shiri 2 Ben-Zvi, David 2 Bruner, Robert R. 2 Buium, Alexandru 2 Carter, J. Scott 2 Childs, Lindsay N. 2 Cima, Joseph A. 2 Duren, Peter Larkin 2 Etingof, Pavel Il’ich 2 Frenkel, Edward V. 2 Fresse, Benoit 2 Gaitsgory, Dennis 2 Gehring, Frederick William 2 Hirschhorn, Philip S. 2 Kamada, Seiichi 2 Kang, Hyeonbae 2 Kozlov, Vladimir A. 2 Krylov, Nicolaĭ Vladimirovich 2 May, Jon Peter 2 McKenzie, Ralph N. 2 McNulty, George F. 2 Milman, Vitali D. 2 Molev, Alexander I. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Nogin, Dmitry Yu. 2 Ross, William T. 2 Rozenblyum, Nick 2 Rumely, Robert S. 2 Schwartz, Richard Evan 2 Shimura, Goro 2 Taylor, Michael Eugene 2 Taylor, Walter F. 2 Tsfasman, Michael A. 2 Zettl, Anton 1 Aaronson, Jon 1 Abhyankar, Shreeram Shankar 1 Abouzahra, M. D. 1 Achar, Pramod N. 1 Adrianov, Nikolai M. 1 Agarwal, Ravi P. 1 Aguiar, Marcelo 1 Aliprantis, Charalambos Dionisios 1 Altınel, Tuna 1 Amorós, Jaume 1 Andreu-Vaillo, Fuensanta 1 Andrews, George Eyre 1 Angulo Pava, Jaime 1 Arcozzi, Nicola 1 Asashiba, Hideto 1 Aubrun, Guillaume 1 Avramov, Luchezar L. 1 Baernstein, Albert II 1 Baker, Matthew H. 1 Barletta, Elisabetta 1 Beals, Richard W. 1 Bekka, Mohammed el Bachir 1 Belabas, Karim 1 Bell, Jason P. 1 Benson, David John 1 Bercovici, Hari 1 Bergman, George M. 1 Berhuy, Grégory 1 Berkolaiko, Gregory 1 Berkovich, Vladimir G. 1 Bhatt, Bhargav 1 Bieri, Robert 1 Binz, Ernst 1 Bloch, Spencer J. 1 Bonk, Mario 1 Borel, Armand 1 Boritchev, Alexandre 1 Borovik, Alexandre V. 1 Bortolan, Matheus Cheque 1 Boussaid, Nabile 1 Brass, Helmut ...and 356 more Authors all top 5 Fields 42 Group theory and generalizations (20-XX) 42 Partial differential equations (35-XX) 35 Algebraic geometry (14-XX) 30 Number theory (11-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Operator theory (47-XX) 27 Functional analysis (46-XX) 25 Differential geometry (53-XX) 24 Associative rings and algebras (16-XX) 24 Manifolds and cell complexes (57-XX) 24 Global analysis, analysis on manifolds (58-XX) 23 Algebraic topology (55-XX) 22 Nonassociative rings and algebras (17-XX) 21 Category theory; homological algebra (18-XX) 20 Quantum theory (81-XX) 19 Probability theory and stochastic processes (60-XX) 17 Topological groups, Lie groups (22-XX) 16 Combinatorics (05-XX) 14 Ordinary differential equations (34-XX) 13 Functions of a complex variable (30-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Mathematical logic and foundations (03-XX) 12 Abstract harmonic analysis (43-XX) 12 Convex and discrete geometry (52-XX) 11 Measure and integration (28-XX) 11 Potential theory (31-XX) 10 Commutative algebra (13-XX) 9 General and overarching topics; collections (00-XX) 8 \(K\)-theory (19-XX) 8 Computer science (68-XX) 7 Field theory and polynomials (12-XX) 7 General topology (54-XX) 7 Information and communication theory, circuits (94-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Fluid mechanics (76-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General algebraic systems (08-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 249 Publications have been cited 22,636 times in 20,809 Documents Cited by ▼ Year ▼ Asymptotic behavior of dissipative systems. 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Zbl 1111.34001Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 150 2006 The Ricci flow: techniques and applications. Part I: Geometric aspects. Zbl 1157.53034Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei 145 2007 Conjugacy classes in semisimple algebraic groups. Zbl 0834.20048Humphreys, James E. 140 1995 Locally solid Riesz spaces with applications to economics. 2nd ed. Zbl 1043.46003Aliprantis, Charalambos D.; Burkinshaw, Owen 140 2003 Operators, functions, and systems: an easy reading. Volume 2: Model operators and systems. Transl. from the French by Andreas Hartmann. Zbl 1007.47002Nikolski, N. K. 137 2002 Nonautonomous dynamical systems. Zbl 1244.37001Kloeden, Peter E.; Rasmussen, Martin 137 2011 Spectral problems associated with corner singularities of solutions to elliptic equations. Zbl 0965.35003Kozlov, V. A.; Maz’ya, V. G.; Rossmann, J. 135 2001 Consequences of the axiom of choice. Zbl 0947.03001Howard, Paul; Rubin, Jean E. 134 1998 Large deviations for stochastic processes. Zbl 1113.60002Feng, Jin; Kurtz, Thomas G. 133 2006 Positive polynomials and sums of squares. Zbl 1169.13001Marshall, Murray 131 2008 Lusternik-Schnirelmann category. Zbl 1032.55001Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel 129 2003 Yangians and classical Lie algebras. Zbl 1141.17001Molev, Alexander 128 2007 Eigenvalue distribution of large random matrices. Zbl 1244.15002Pastur, Leonid; Shcherbina, Mariya 127 2011 Knotted surfaces and their diagrams. Zbl 0904.57010Carter, J. Scott; Saito, Masahico 124 1998 Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo 124 2005 The classification of the finite simple groups. Zbl 0816.20016Gorenstein, Daniel; Lyons, Richard; Solomon, Ronald 123 1994 Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael 116 2002 Geometry of isotropic convex bodies. Zbl 1304.52001Brazitikos, Silouanos; Giannopoulos, Apostolos; Valettas, Petros; Vritsiou, Beatrice-Helen 114 2014 Groups and geometric analysis. Integral geometry, invariant differential operators, and spherical functions. Zbl 0965.43007Helgason, Sigurdur 113 2000 Amenability. Zbl 0648.43001Paterson, Alan L. T. 112 1988 Recurrence sequences. Zbl 1033.11006Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas 110 2003 Vertex algebras and algebraic curves. Zbl 0981.17022Frenkel, Edward; Ben-Zvi, David 109 2001 Noncommutative harmonic analysis. Zbl 0604.43001Taylor, Michael E. 107 1986 Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004Fine, Nathan J. 106 1988 Unipotent and nilpotent classes in simple algebraic groups and Lie algebras. Zbl 1251.20001Liebeck, Martin W.; Seitz, Gary M. 105 2012 Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002Baker, Matthew; Rumely, Robert 103 2010 Gradings on simple Lie algebras. Zbl 1281.17001Elduque, Alberto; Kochetov, Mikhail 103 2013 Algebraic geometric codes. Basic notions. Zbl 1127.94001Tsfasman, Michael; Vlăduţ, Serge; Nogin, Dmitry 101 2007 Sturm-Liouville theory. Zbl 1103.34001Zettl, Anton 101 2005 Asymptotic geometric analysis. I. Zbl 1337.52001Artstein-Avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D. 100 2015 Surgery on compact manifolds. 2nd ed. Zbl 0935.57003Wall, C. T. C. 97 1999 Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun. 97 1998 Mathematical scattering theory. Analytic theory. Zbl 1197.35006Yafaev, D. R. 96 2010 Descriptive set theory. 2nd ed. Zbl 1172.03026Moschovakis, Yiannis N. 95 2009 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 92 2015 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 90 2007 The Markoff and Lagrange spectra. Zbl 0685.10023Cusick, Thomas W.; Flahive, Mary E. 89 1989 Differentiable measures and the Malliavin calculus. Zbl 1247.28001Bogachev, Vladimir I. 88 2010 Geometric analysis on symmetric spaces. 2nd ed. Zbl 1157.43003Helgason, Sigurdur 88 2008 Cohen-Macaulay representations. Zbl 1252.13001Leuschke, Graham J.; Wiegand, Roger 83 2012 Fundamental groups of compact Kähler manifolds. Zbl 0849.32006Amorós, J.; Burger, Marc; Corlette, A.; Kotschick, D.; Toledo, D. 77 1996 Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann. Zbl 1007.47001Nikolski, N. K. 77 2002 Global aspects of ergodic group actions. Zbl 1189.37001Kechris, Alexander S. 76 2010 Classification and orbit equivalence relations. Zbl 0942.03056Hjorth, Greg 75 2000 Algebraic geometry for scientists and engineers. Zbl 0709.14001Abhyankar, Shreeram S. 74 1990 Foundations of free noncommutative function theory. Zbl 1312.46003Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor 74 2014 The Cauchy transform. Zbl 1096.30046Cima, Joseph A.; Matheson, Alec L.; Ross, William T. 73 2006 Toric topology. Zbl 1375.14001Buchstaber, Victor M.; Panov, Taras E. 73 2015 Renormalization and effective field theory. Zbl 1221.81004Costello, Kevin 71 2011 A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. Zbl 1409.14003Gaitsgory, Dennis; Rozenblyum, Nick 70 2017 Partial dynamical systems, Fell bundles and applications. Zbl 1405.46003Exel, Ruy 69 2017 Cluster algebras and Poisson geometry. 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Zbl 1196.35005Maz’ya, Vladimir; Rossmann, Jürgen 61 2010 ...and 149 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,214 Authors 56 Bogachev, Vladimir Igorevich 49 Barreira, Luis Manuel 47 Valls Anglés, Cláudia 44 Kloeden, Peter Eris 44 Zhao, Xiao-Qiang 43 Giambruno, Antonio 43 Zaĭtsev, Mikhail Vladimirovich 42 Dvurečenskij, Anatolij 41 Ammari, Habib M. 41 Sukochev, Fedor Anatol’evich 39 Tachtsis, Eleftherios 38 Guralnick, Robert Michael 36 Keremedis, Kyriakos 36 Nolasco de Carvalho, Alexandre 36 Zhou, Shengfan 34 Wang, Feng-Bin 33 Gesztesy, Fritz 33 Nazarov, Sergeĭ Aleksandrovich 32 Tiep Pham Huu 30 Wang, Bixiang 29 Li, Wan-Tong 29 Wu, Jianhong 28 Creutzig, Thomas 28 Langa, Jose’ Antonio 27 Caraballo Garrido, Tomás 27 Curto, Raúl Enrique 27 Ruan, Shigui 27 Zhong, Chengkui 26 Jiang, Jifa 26 Michor, Peter Wolfram 26 Mishchenko, Sergeĭ Petrovich 26 Teschl, Gerald 26 Ye, Xiangdong 26 Zou, Xingfu 25 Dragičević, Davor 25 Maz’ya, Vladimir Gilelevich 25 Pata, Vittorino 24 Huang, Wen 24 Röckner, Michael 23 Elduque, Alberto 23 Hofmann, Steve 23 Kamada, Seiichi 23 Koshlukov, Plamen Emilov 23 Liebeck, Martin Walter 23 Raeburn, Iain 23 Yoon, Jasang 22 Abhyankar, Shreeram Shankar 22 Foulis, David James 22 Koldobsky, Alexander L. 22 Linshaw, Andrew Ross 22 Navarro, Gabriel 22 Repovš, Dušan D. 22 Shaposhnikov, Stanislav V. 22 Tolsa, Xavier 21 Frank, Rupert L. 21 Klep, Igor 21 Lasiecka, Irena 21 Molev, Alexander I. 21 Obaya, Rafael 21 Robinson, James Cooper 21 Stochel, Jan 21 Tabuada, Gonçalo 20 Arakawa, Tomoyuki 20 Exner, Pavel 20 Forrester, Peter J. 20 Lemańczyk, Mariusz 20 Markl, Martin 20 Mendelson, Shahar 20 Rodríguez-Bernal, Aníbal 20 Rubin, Boris 20 Shen, Wenxian 20 Sims, Aidan 19 Bobkov, Sergey Germanovich 19 Fuchs, László 19 Milman, Emanuel 19 Nakano, Daniel K. 19 Sachkov, Yuriĭ Leonidovich 19 Smith, Hal Leslie 19 Sun, Chunyou 19 Wang, Jinliang 19 Zhang, Hongkun 18 an Huef, Astrid 18 Andrews, George Eyre 18 Buium, Alexandru 18 Duan, Jinqiao 18 Greenlees, John P. C. 18 La Mattina, Daniela 18 Latushkin, Yuri 18 Lee, Sanghoon 18 Pulmannová, Sylvia 18 Rossi, Julio Daniel 18 Shen, Yuliang 18 Williams, Dana P. 18 Zanin, Dmitriy V. 18 Zhao, Caidi 17 Baranov, Anton D. 17 Burness, Timothy C. 17 Chen, Yuming 17 Kolesnikov, Alexander V. 17 Melbourne, Ian ...and 19,114 more Authors all top 5 Cited in 880 Journals 658 Advances in Mathematics 608 Journal of Mathematical Analysis and Applications 601 Transactions of the American Mathematical Society 542 Journal of Algebra 539 Proceedings of the American Mathematical Society 533 Journal of Functional Analysis 497 Journal of Differential Equations 445 Communications in Mathematical Physics 275 Journal of Pure and Applied Algebra 237 Israel Journal of Mathematics 213 Mathematische Zeitschrift 205 Journal of Mathematical Physics 204 Nonlinear Analysis. Theory, Methods & Applications. 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Probabilités et Statistiques 49 Journal of Evolution Equations 48 Documenta Mathematica 47 The Journal of Fourier Analysis and Applications 46 Mathematical Biosciences ...and 780 more Journals all top 5 Cited in 63 Fields 4,126 Partial differential equations (35-XX) 2,359 Dynamical systems and ergodic theory (37-XX) 2,168 Operator theory (47-XX) 1,839 Functional analysis (46-XX) 1,716 Algebraic geometry (14-XX) 1,639 Differential geometry (53-XX) 1,636 Probability theory and stochastic processes (60-XX) 1,561 Group theory and generalizations (20-XX) 1,387 Ordinary differential equations (34-XX) 1,347 Quantum theory (81-XX) 1,185 Category theory; homological algebra (18-XX) 1,179 Algebraic topology (55-XX) 1,159 Associative rings and algebras (16-XX) 1,144 Number theory (11-XX) 1,088 Nonassociative rings and algebras (17-XX) 1,019 Global analysis, analysis on manifolds (58-XX) 1,002 Biology and other natural sciences (92-XX) 922 Functions of a complex variable (30-XX) 888 Topological groups, Lie groups (22-XX) 813 Manifolds and cell complexes (57-XX) 717 Commutative algebra (13-XX) 646 Combinatorics (05-XX) 645 Numerical analysis (65-XX) 623 Several complex variables and analytic spaces (32-XX) 560 Fluid mechanics (76-XX) 529 Statistical mechanics, structure of matter (82-XX) 515 Calculus of variations and optimal control; optimization (49-XX) 511 Mathematical logic and foundations (03-XX) 500 Measure and integration (28-XX) 494 Linear and multilinear algebra; matrix theory (15-XX) 465 Convex and discrete geometry (52-XX) 455 Abstract harmonic analysis (43-XX) 391 Harmonic analysis on Euclidean spaces (42-XX) 377 Computer science (68-XX) 375 Systems theory; control (93-XX) 332 \(K\)-theory (19-XX) 298 Real functions (26-XX) 294 Order, lattices, ordered algebraic structures (06-XX) 294 General topology (54-XX) 285 Special functions (33-XX) 272 Mechanics of deformable solids (74-XX) 265 Difference and functional equations (39-XX) 254 Potential theory (31-XX) 244 Information and communication theory, circuits (94-XX) 208 Statistics (62-XX) 183 Field theory and polynomials (12-XX) 179 Mechanics of particles and systems (70-XX) 176 Integral equations (45-XX) 173 Relativity and gravitational theory (83-XX) 150 Integral transforms, operational calculus (44-XX) 146 Operations research, mathematical programming (90-XX) 121 Approximations and expansions (41-XX) 111 Geometry (51-XX) 107 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 106 Optics, electromagnetic theory (78-XX) 56 Classical thermodynamics, heat transfer (80-XX) 53 Geophysics (86-XX) 49 General algebraic systems (08-XX) 39 General and overarching topics; collections (00-XX) 39 History and biography (01-XX) 25 Sequences, series, summability (40-XX) 16 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) Citations by Year