Edit Profile (opens in new tab) Blekherman, Grigoriy Co-Author Distance Author ID: blekherman.grigoriy Published as: Blekherman, Grigoriy; Blekherman, G. External Links: MGP Documents Indexed: 67 Publications since 1999, including 18 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 64 Co-Authors with 57 Joint Publications 1,536 Co-Co-Authors all top 5 Co-Authors 11 single-authored 11 Sinn, Rainer 6 Raymond, Annie 6 Velasco, Mauricio 4 Riener, Cordian 4 Shu, Kevin 4 Smith, Gregory G. 4 Sun, Shengding 4 Thomas, Rekha R. 3 Acevedo, José Infante 3 Dey, Santanu Subhas 3 Iliman, Sadik 3 Juhnke-Kubitzke, Martina 3 Parrilo, Pablo A. 3 Vinzant, Cynthia 2 Bernstein, Daniel Irving 2 Bezdek, Károly 2 Debus, Sebastian 2 Jung, Jaewoo 2 Kummer, Mario Denis 2 Lasserre, Jean-Bernard 2 Singh, Mohit 1 Ahmadi, Amir Ali 1 Baldi, Lorenzo 1 Ballinger, Brandon 1 Barvinok, Alexander I. 1 Bernardi, Alessandra 1 Brandon, Madison 1 Cohn, Henry Lee 1 Connelly, Robert 1 Csikós, Balázs 1 Dey, Papri 1 Dunbar, Alex 1 Fialkow, Lawrence A. 1 Giansiracusa, Noah 1 Gouveia, Joao 1 Guang, Bonny 1 Hauenstein, Jonathan D. 1 Hinkelmann, Franziska 1 Kelly, Elizabeth 1 Kozhasov, Khazhgali 1 Laubenbacher, Reinhard C. 1 Lee, Kisun 1 Lindberg, Julia 1 Madhusudhana, Bharath Hebbe 1 McNeill, Rustin 1 Molinaro, Marco 1 Ottaviani, Giorgio Maria 1 Ottem, John Christian 1 Patel, Shyamal 1 Pfeiffer, James 1 Plaumann, Daniel 1 Raită, Bogdan 1 Ranestad, Kristian 1 Reznick, Bruce 1 Rincón, Felipe 1 Sanyal, Raman 1 Schürmann, Achill 1 Schweighofer, Markus 1 Shankar, Isabelle 1 Sturmfels, Bernd 1 Teitler, Zach 1 Veliz-Cuba, Alan 1 Wesner, Jannik Lennart 1 Yu, Josephine all top 5 Serials 3 Discrete & Computational Geometry 3 IMRN. International Mathematics Research Notices 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Journal of the American Mathematical Society 2 Linear Algebra and its Applications 2 Notices of the American Mathematical Society 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Forum of Mathematics, Sigma 2 SIAM Journal on Applied Algebra and Geometry 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Archiv der Mathematik 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Combinatorica 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Experimental Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 MOS/SIAM Series on Optimization 1 Bollettino dell’Unione Matematica Italiana 1 Annales Henri Lebesgue all top 5 Fields 45 Algebraic geometry (14-XX) 16 Convex and discrete geometry (52-XX) 14 Operations research, mathematical programming (90-XX) 13 Combinatorics (05-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Commutative algebra (13-XX) 6 Field theory and polynomials (12-XX) 5 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 2 Group theory and generalizations (20-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 647 times in 473 Documents Cited by ▼ Year ▼ Semidefinite optimization and convex algebraic geometry. Zbl 1260.90006 225 2013 On maximum, typical and generic ranks. Zbl 1326.15034 Blekherman, Grigoriy; Teitler, Zach 51 2015 Nonnegative polynomials and sums of squares. Zbl 1258.14067 Blekherman, Grigoriy 41 2012 There are significantly more nonnegative polynomials than sums of squares. Zbl 1139.14044 Blekherman, Grigoriy 38 2006 Experimental study of energy-minimizing point configurations on spheres. Zbl 1185.68771 Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill 34 2009 Sums of squares and varieties of minimal degree. Zbl 1388.14156 Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio 27 2016 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043 Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 27 2012 Typical real ranks of binary forms. Zbl 1330.14096 Blekherman, Grigoriy 27 2015 On real typical ranks. Zbl 1403.15018 Bernardi, Alessandra; Blekherman, Grigoriy; Ottaviani, Giorgio 18 2018 Sums of squares on the hypercube. Zbl 1375.14187 Blekherman, Grigoriy; Gouveia, João; Pfeiffer, James 14 2016 Symmetric non-negative forms and sums of squares. Zbl 1472.14063 Blekherman, Grigoriy; Riener, Cordian 13 2021 Positive Gorenstein ideals. Zbl 1453.14129 Blekherman, Grigoriy 11 2015 Convexity properties of the cone of nonnegative polynomials. Zbl 1071.22011 Blekherman, Grigoriy 11 2004 Convex geometry of orbits. Zbl 1096.52002 Barvinok, Alexander; Blekherman, Grigoriy 11 2005 Do sums of squares dream of free resolutions? Zbl 1401.14225 Blekherman, Grigoriy; Sinn, Rainer; Velasco, Mauricio 10 2017 The core variety and representing measures in the truncated moment problem. Zbl 07340495 Blekherman, Grigoriy; Fialkow, Lawrence 10 2020 Real rank with respect to varieties. Zbl 1360.15028 Blekherman, Grigoriy; Sinn, Rainer 10 2016 Sparse PSD approximation of the PSD cone. Zbl 1489.90104 Blekherman, Grigoriy; Dey, Santanu S.; Molinaro, Marco; Sun, Shengding 8 2022 Low-rank sum-of-squares representations on varieties of minimal degree. Zbl 1439.14167 Blekherman, Grigoriy; Plaumann, Daniel; Sinn, Rainer; Vinzant, Cynthia 8 2019 Nonnegative polynomials and sums of squares. Zbl 1360.13058 Blekherman, Grigoriy 7 2013 Maximum likelihood threshold and generic completion rank of graphs. Zbl 1405.14132 Blekherman, Grigoriy; Sinn, Rainer 5 2019 Dimensional differences between faces of the cones of nonnegative polynomials and sums of squares. Zbl 1387.13010 Blekherman, Grigoriy; Iliman, Sadik; Kubitzke, Martina 4 2015 The truncated K-moment problem for closure of open sets. Zbl 1282.47016 Blekherman, G.; Lasserre, J. B. 4 2012 A path forward: tropicalization in extremal combinatorics. Zbl 1495.05141 Blekherman, Grigoriy; Raymond, Annie 4 2022 Hyperbolic relaxation of \(k\)-locally positive semidefinite matrices. Zbl 07516284 Blekherman, Grigoriy; Dey, Santanu S.; Shu, Kevin; Sun, Shengding 3 2022 Simple graph density inequalities with no sum of squares proofs. Zbl 1474.05210 Blekherman, Grigoriy; Raymond, Annie; Singh, Mohit; Thomas, Rekha R. 3 2020 Sums of squares: a real projective story. Zbl 1474.14078 Blekherman, Grigoriy; Sinn, Rainer; Smith, Gregory G.; Velasco, Mauricio 3 2021 Typical and generic ranks in matrix completion. Zbl 1425.15024 Bernstein, Daniel Irving; Blekherman, Grigoriy; Sinn, Rainer 3 2020 Sharp degree bounds for sum-of-squares certificates on projective curves. Zbl 1441.14189 Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio 3 2019 Extreme rays of Hankel spectrahedra for ternary forms. Zbl 1468.13064 Blekherman, Grigoriy; Sinn, Rainer 2 2017 Dimensional differences between faces of the cones of nonnegative polynomials and sums of squares. Zbl 1330.14094 Blekherman, Grigoriy; Iliman, Sadik; Juhnke-Kubitzke, Martina 2 2015 Gap vectors of real projective varieties. Zbl 1354.14083 Blekherman, Grigoriy; Iliman, Sadik; Juhnke-Kubitzke, Martina; Velasco, Mauricio 2 2015 Tropicalization of graph profiles. Zbl 1496.05085 Blekherman, Grigoriy; Raymond, Annie; Singh, Mohit; Thomas, Rekha R. 2 2022 What is convex algebraic geometry? Zbl 1360.90186 Blekherman, Grigoriy; Parrilo, Pablo A.; Thomas, Rekha R. 1 2013 Sums of squares and sparse semidefinite programming. Zbl 1478.90075 Blekherman, Grigoriy; Shu, Kevin 1 2021 Danzer-Grünbaum’s theorem revisited. Zbl 0968.52006 Bezdek, Károly; Blekherman, Grigoriy 1 1999 The polyhedral Tammes problem. Zbl 0995.52007 Bezdek, Károly; Blekherman, Grigoriy; Connelly, Robert; Csikós, Balázs 1 2001 Bounds on regularity of quadratic monomial ideals. Zbl 1448.13041 Blekherman, Grigoriy; Jung, Jaewoo 1 2020 A new proof of the Erdős-Simonovits conjecture on walks. Zbl 1514.05082 Blekherman, Grigoriy; Raymond, Annie 1 2023 A new proof of the Erdős-Simonovits conjecture on walks. Zbl 1514.05082 Blekherman, Grigoriy; Raymond, Annie 1 2023 Sparse PSD approximation of the PSD cone. Zbl 1489.90104 Blekherman, Grigoriy; Dey, Santanu S.; Molinaro, Marco; Sun, Shengding 8 2022 A path forward: tropicalization in extremal combinatorics. Zbl 1495.05141 Blekherman, Grigoriy; Raymond, Annie 4 2022 Hyperbolic relaxation of \(k\)-locally positive semidefinite matrices. Zbl 07516284 Blekherman, Grigoriy; Dey, Santanu S.; Shu, Kevin; Sun, Shengding 3 2022 Tropicalization of graph profiles. Zbl 1496.05085 Blekherman, Grigoriy; Raymond, Annie; Singh, Mohit; Thomas, Rekha R. 2 2022 Symmetric non-negative forms and sums of squares. Zbl 1472.14063 Blekherman, Grigoriy; Riener, Cordian 13 2021 Sums of squares: a real projective story. Zbl 1474.14078 Blekherman, Grigoriy; Sinn, Rainer; Smith, Gregory G.; Velasco, Mauricio 3 2021 Sums of squares and sparse semidefinite programming. Zbl 1478.90075 Blekherman, Grigoriy; Shu, Kevin 1 2021 The core variety and representing measures in the truncated moment problem. Zbl 07340495 Blekherman, Grigoriy; Fialkow, Lawrence 10 2020 Simple graph density inequalities with no sum of squares proofs. Zbl 1474.05210 Blekherman, Grigoriy; Raymond, Annie; Singh, Mohit; Thomas, Rekha R. 3 2020 Typical and generic ranks in matrix completion. Zbl 1425.15024 Bernstein, Daniel Irving; Blekherman, Grigoriy; Sinn, Rainer 3 2020 Bounds on regularity of quadratic monomial ideals. Zbl 1448.13041 Blekherman, Grigoriy; Jung, Jaewoo 1 2020 Low-rank sum-of-squares representations on varieties of minimal degree. Zbl 1439.14167 Blekherman, Grigoriy; Plaumann, Daniel; Sinn, Rainer; Vinzant, Cynthia 8 2019 Maximum likelihood threshold and generic completion rank of graphs. Zbl 1405.14132 Blekherman, Grigoriy; Sinn, Rainer 5 2019 Sharp degree bounds for sum-of-squares certificates on projective curves. Zbl 1441.14189 Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio 3 2019 On real typical ranks. Zbl 1403.15018 Bernardi, Alessandra; Blekherman, Grigoriy; Ottaviani, Giorgio 18 2018 Do sums of squares dream of free resolutions? Zbl 1401.14225 Blekherman, Grigoriy; Sinn, Rainer; Velasco, Mauricio 10 2017 Extreme rays of Hankel spectrahedra for ternary forms. Zbl 1468.13064 Blekherman, Grigoriy; Sinn, Rainer 2 2017 Sums of squares and varieties of minimal degree. Zbl 1388.14156 Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio 27 2016 Sums of squares on the hypercube. Zbl 1375.14187 Blekherman, Grigoriy; Gouveia, João; Pfeiffer, James 14 2016 Real rank with respect to varieties. Zbl 1360.15028 Blekherman, Grigoriy; Sinn, Rainer 10 2016 On maximum, typical and generic ranks. Zbl 1326.15034 Blekherman, Grigoriy; Teitler, Zach 51 2015 Typical real ranks of binary forms. Zbl 1330.14096 Blekherman, Grigoriy 27 2015 Positive Gorenstein ideals. Zbl 1453.14129 Blekherman, Grigoriy 11 2015 Dimensional differences between faces of the cones of nonnegative polynomials and sums of squares. Zbl 1387.13010 Blekherman, Grigoriy; Iliman, Sadik; Kubitzke, Martina 4 2015 Dimensional differences between faces of the cones of nonnegative polynomials and sums of squares. Zbl 1330.14094 Blekherman, Grigoriy; Iliman, Sadik; Juhnke-Kubitzke, Martina 2 2015 Gap vectors of real projective varieties. Zbl 1354.14083 Blekherman, Grigoriy; Iliman, Sadik; Juhnke-Kubitzke, Martina; Velasco, Mauricio 2 2015 Semidefinite optimization and convex algebraic geometry. Zbl 1260.90006 225 2013 Nonnegative polynomials and sums of squares. Zbl 1360.13058 Blekherman, Grigoriy 7 2013 What is convex algebraic geometry? Zbl 1360.90186 Blekherman, Grigoriy; Parrilo, Pablo A.; Thomas, Rekha R. 1 2013 Nonnegative polynomials and sums of squares. Zbl 1258.14067 Blekherman, Grigoriy 41 2012 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043 Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 27 2012 The truncated K-moment problem for closure of open sets. Zbl 1282.47016 Blekherman, G.; Lasserre, J. B. 4 2012 Experimental study of energy-minimizing point configurations on spheres. Zbl 1185.68771 Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill 34 2009 There are significantly more nonnegative polynomials than sums of squares. Zbl 1139.14044 Blekherman, Grigoriy 38 2006 Convex geometry of orbits. Zbl 1096.52002 Barvinok, Alexander; Blekherman, Grigoriy 11 2005 Convexity properties of the cone of nonnegative polynomials. Zbl 1071.22011 Blekherman, Grigoriy 11 2004 The polyhedral Tammes problem. Zbl 0995.52007 Bezdek, Károly; Blekherman, Grigoriy; Connelly, Robert; Csikós, Balázs 1 2001 Danzer-Grünbaum’s theorem revisited. Zbl 0968.52006 Bezdek, Károly; Blekherman, Grigoriy 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 645 Authors 27 Blekherman, Grigoriy 18 Klep, Igor 17 Sturmfels, Bernd 15 Parrilo, Pablo A. 13 de Wolff, Timo 13 McCullough, Scott A. 12 Volčič, Jurij 11 Saunderson, James 11 Sinn, Rainer 11 Velasco, Mauricio 10 Ballico, Edoardo 10 Helton, John William 10 Thai Doan Chuong 8 Fawzi, Hamza 8 Jeyakumar, Vaithilingam 8 Nie, Jiawang 8 Theobald, Thorsten 8 Thomas, Rekha R. 7 Bernardi, Alessandra 7 Dressler, Mareike 7 Iliman, Sadik 7 Riener, Cordian 7 Safey El Din, Mohab 7 Scheiderer, Claus 7 Zalar, Aljaž 6 Li, Guoyin 6 Raymond, Annie 6 Ventura, Emanuele 5 Ahmadi, Amir Ali 5 Bernstein, Daniel Irving 5 Cifuentes, Diego 5 Hauenstein, Jonathan D. 5 Kummer, Mario Denis 5 Netzer, Tim 5 Ottaviani, Giorgio Maria 5 Papp, Dávid 5 Putinar, Mihai 5 Rodriguez, Jose Israel 5 Seigal, Anna Leah 4 Allamigeon, Xavier 4 Bannai, Eiichi 4 Belton, Alexander C. R. 4 Breiding, Paul 4 Dey, Papri 4 Gaar, Elisabeth 4 Gaubert, Stéphane 4 Gouveia, Joao 4 Guillot, Dominique 4 Henrion, Didier 4 Hu, ShengLong 4 Jungers, Raphaël M. 4 Khare, Apoorva 4 Landsberg, Joseph Montague 4 Lasserre, Jean-Bernard 4 Legat, Benoît 4 Magron, Victor 4 Michałek, Mateusz 4 Naldi, Simone 4 Oneto, Alessandro 4 Pataki, Gábor 4 Schürmann, Achill 4 Singh, Mohit 4 Skomra, Mateusz 4 Teitler, Zach 4 Vannieuwenhoven, Nick 4 Vinzant, Cynthia 4 Yoo, Seonguk 3 Bannai, Etsuko 3 Basu, Saugata 3 Boĭvalenkov, Pet”r Georgiev 3 Buczyński, Jarosław 3 Chandrasekaran, Venkat 3 Comon, Pierre 3 De Paris, Alessandro 3 di Dio, Philipp J. 3 Dragnev, Peter D. 3 Draisma, Jan 3 Ergür, Alperen Ali 3 Hardin, Douglas P. 3 Koiran, Pascal 3 Kurpisz, Adam 3 Maxim, Laurenţiu George 3 Moon, Hyunsuk 3 Moustrou, Philippe 3 Naumann, Helen 3 Nezhad, Ali Mohammad 3 Pascoe, James Eldred 3 Qi, Yang 3 Ranestad, Kristian 3 Saff, Edward Barry 3 Shankar, Isabelle 3 Smith, Gregory G. 3 Stoyanova, Maya M. 3 Verdure, Hugues 3 Vielma, Juan Pablo 3 Vinnikov, Victor L. 3 Wang, Botong 3 Zuluaga, Luis Fernando 2 Alekseev, Yaroslav 2 Améndola, Carlos ...and 545 more Authors all top 5 Cited in 157 Serials 29 SIAM Journal on Optimization 25 Journal of Symbolic Computation 25 Mathematical Programming. Series A. Series B 24 SIAM Journal on Applied Algebra and Geometry 19 Linear Algebra and its Applications 14 Discrete & Computational Geometry 13 Journal of Pure and Applied Algebra 11 Journal of Optimization Theory and Applications 10 Journal of Mathematical Analysis and Applications 7 Advances in Mathematics 7 Transactions of the American Mathematical Society 7 SIAM Journal on Discrete Mathematics 7 Foundations of Computational Mathematics 6 SIAM Journal on Matrix Analysis and Applications 6 Journal of Global Optimization 5 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 4 Linear and Multilinear Algebra 4 Journal of Algebra 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Operations Research Letters 4 Journal of the European Mathematical Society (JEMS) 3 Communications in Algebra 3 Mathematics of Computation 3 Beiträge zur Algebra und Geometrie 3 Automatica 3 Mathematics of Operations Research 3 Constructive Approximation 3 Journal of the American Mathematical Society 3 Differential Geometry and its Applications 3 SIAM Review 3 Advances in Computational Mathematics 3 Advances in Geometry 3 SIAM Journal on Applied Dynamical Systems 3 Oberwolfach Reports 3 Optimization Letters 3 Nonlinear Analysis. Hybrid Systems 3 The Journal of Software for Algebra and Geometry 3 Mathematics 3 Research in the Mathematical Sciences 3 Arnold Mathematical Journal 3 European Journal of Mathematics 3 Bollettino dell’Unione Matematica Italiana 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Collectanea Mathematica 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Memoirs of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Graphs and Combinatorics 2 Annals of Operations Research 2 The Journal of Geometric Analysis 2 European Journal of Operational Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Experimental Mathematics 2 Computational Optimization and Applications 2 Optimization Methods & Software 2 Discrete and Continuous Dynamical Systems. Series B 2 Forum of Mathematics, Sigma 2 Algebraic Combinatorics 2 SIAM Journal on Mathematics of Data Science 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 BIT 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Le Matematiche 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Operations Research 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 SIAM Journal on Computing 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Combinatorica 1 Optimization 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Algorithmica 1 Journal of Scientific Computing ...and 57 more Serials all top 5 Cited in 51 Fields 208 Operations research, mathematical programming (90-XX) 184 Algebraic geometry (14-XX) 109 Linear and multilinear algebra; matrix theory (15-XX) 86 Convex and discrete geometry (52-XX) 66 Commutative algebra (13-XX) 53 Combinatorics (05-XX) 48 Numerical analysis (65-XX) 46 Operator theory (47-XX) 41 Computer science (68-XX) 32 Number theory (11-XX) 29 Field theory and polynomials (12-XX) 24 Integral transforms, operational calculus (44-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Statistics (62-XX) 16 Functional analysis (46-XX) 16 Systems theory; control (93-XX) 15 Quantum theory (81-XX) 13 Real functions (26-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Information and communication theory, circuits (94-XX) 10 Associative rings and algebras (16-XX) 10 Functions of a complex variable (30-XX) 9 Group theory and generalizations (20-XX) 9 Partial differential equations (35-XX) 8 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 6 Differential geometry (53-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year