SIGMA. Symmetry, Integrability and Geometry: Methods and Applications Short Title: SIGMA, Symmetry Integrability Geom. Methods Appl. Publisher: National Academy of Sciences of Ukraine - NAS Ukraine (Natsional’na Akademiya Nauk Ukraïny - NAN Ukraïny), Institute of Mathematics (Instytut Matematyky), Kiev ISSN: 1815-0659/e Online: http://www.imath.kiev.ua/~sigma/ Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2005). This journal is available open access. Documents Indexed: 2,081 Publications (since 2005) References Indexed: 997 Publications with 33,449 References. all top 5 Latest Issues 20 (2024) 19 (2023) 18 (2022) 17 (2021) 16 (2020) 15 (2019) 14 (2018) 13 (2017) 12 (2016) 11 (2015) 10 (2014) 9 (2013) 8 (2012) 7 (2011) 6 (2010) 5 (2009) 4 (2008) 3 (2007) 2 (2006) 1 (2005) all top 5 Authors 15 Miller, Willard jun. 13 Kalnins, Ernest G. 12 Dunkl, Charles F. 12 Zhedanov, Alexei S. 11 Vinet, Luc 10 Meljanac, Stjepan 9 Cohl, Howard Saul 9 Quesne, Christiane 9 Ragoucy, Eric 9 Rastelli, Giovanni 9 Varchenko, Alexander Nikolaevich 9 Volkmer, Hans W. 8 Chanu, Claudia Maria 8 Post, Sarah 8 Rains, Eric M. 8 Shiraishi, Jun’ichi 8 Tsyganov, Andreĭ Vladimirovich 8 Yamada, Yasuhiko 7 Belliard, Samuel 7 Crampé, Nicolas 7 Etingof, Pavel Il’ich 7 Grünbaum, Francisco Alberto 7 Pakuliak, Stanislav Z. 7 Ragnisco, Orlando 7 Saniga, Metod 7 Takemura, Kouichi 7 Terwilliger, Paul M. 6 Biswas, Indranil 6 Clelland, Jeanne Nielsen 6 Eastwood, Michael G. 6 Fordy, Allan P. 6 Gerdzhikov, Vladimir Stefanov 6 Levi, Decio 6 Müller-Hoissen, Folkert 6 Olver, Peter John 6 Ormerod, Christopher Michael 6 Patera, Jiří 6 Top, Jaap 6 van der Put, Marius 6 Zhang, Dajun 5 Acosta Humánez, Primitivo Belén 5 Bertola, Marco 5 Bouarroudj, Sofiane 5 Bruce, Andrew James 5 Brzeziński, Tomasz 5 Calogero, Francesco A. 5 Derkachëv, Sergeĭ Èduardovich 5 Dimakis, Aristophanes 5 Klimek, Slawomir 5 Klimyk, Anatoliy Ul’yanovich 5 Korepanov, Igor Germanovich 5 Kuniba, Atsuo 5 Manashov, Alexander N. 5 Mcbride, Matt 5 Menegatto, Valdir Antonio 5 Nakanishi, Tomoki 5 Noumi, Masatoshi 5 Schaposnik, Laura P. 5 Schlosser, Michael J. 5 Scimiterna, Christian 5 Shapovalov, Aleksandr V. 5 Skrypnyk, Taras Volodymyrovych 5 Slavnov, Nikita A. 5 Takasaki, Kanehisa 5 Tarasov, Vitaly Olegovich 5 Trifonov, Andrey Yu. 5 Van der Jeugt, Joris 4 Adamović, Dražen 4 Ayano, Takanori 4 Ballesteros, Angel 4 Blaom, Anthony D. 4 Blaschke, Daniel N. 4 Borot, Gaëtan 4 Cariñena, José F. 4 Clarkson, Peter A. 4 Coquereaux, Robert 4 D’Andrea, Francesco 4 De Bie, Hendrik 4 Filipuk, Galina V. 4 Garoufalidis, Stavros 4 Genest, Vincent X. 4 Grabowski, Janusz 4 Grozman, Pavel 4 Herranz, Francisco José 4 Ismail, Mourad El-Houssieny 4 Koornwinder, Tom H. 4 Kress, Jonathan M. 4 Léandre, Rémi 4 Leites, Dimitry A. 4 Mariño, Marcos 4 Marquette, Ian 4 McLenaghan, Raymond G. 4 Miller, Peter D. 4 Mukhin, Evgeny 4 Musso, Emilio 4 Nakazono, Nobutaka 4 Oeckl, Robert 4 Pachol, Anna 4 Pracna, Petr 4 Qu, Changzheng ...and 2,638 more Authors all top 5 Fields 559 Quantum theory (81-XX) 419 Differential geometry (53-XX) 348 Dynamical systems and ergodic theory (37-XX) 318 Special functions (33-XX) 301 Nonassociative rings and algebras (17-XX) 248 Algebraic geometry (14-XX) 245 Partial differential equations (35-XX) 229 Global analysis, analysis on manifolds (58-XX) 190 Ordinary differential equations (34-XX) 171 Mechanics of particles and systems (70-XX) 147 Associative rings and algebras (16-XX) 127 Statistical mechanics, structure of matter (82-XX) 120 Relativity and gravitational theory (83-XX) 115 Combinatorics (05-XX) 114 Topological groups, Lie groups (22-XX) 99 Functional analysis (46-XX) 98 Group theory and generalizations (20-XX) 97 Difference and functional equations (39-XX) 84 Manifolds and cell complexes (57-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 71 Probability theory and stochastic processes (60-XX) 69 Several complex variables and analytic spaces (32-XX) 67 Commutative algebra (13-XX) 66 Operator theory (47-XX) 62 Number theory (11-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 50 Functions of a complex variable (30-XX) 46 Category theory; homological algebra (18-XX) 27 Algebraic topology (55-XX) 26 Abstract harmonic analysis (43-XX) 20 Field theory and polynomials (12-XX) 20 Integral transforms, operational calculus (44-XX) 20 Geometry (51-XX) 20 Convex and discrete geometry (52-XX) 19 \(K\)-theory (19-XX) 19 Approximations and expansions (41-XX) 19 Optics, electromagnetic theory (78-XX) 16 Numerical analysis (65-XX) 15 Potential theory (31-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Real functions (26-XX) 12 Fluid mechanics (76-XX) 11 Computer science (68-XX) 11 Mechanics of deformable solids (74-XX) 10 Integral equations (45-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 History and biography (01-XX) 8 Measure and integration (28-XX) 7 Statistics (62-XX) 6 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,651 Publications have been cited 10,339 times in 7,863 Documents Cited by ▼ Year ▼ A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary). Zbl 1145.53053 Paneitz, Stephen M. 176 2008 Colored tensor models – a review. Zbl 1242.05094 Gurau, Razvan; Ryan, James P. 144 2012 Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz. Zbl 1288.82020 Belliard, Samuel; Crampé, Nicolas 70 2013 BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras. Zbl 1358.17006 Graziani, Giacomo; Makhlouf, Abdenacer; Menini, Claudia; Panaite, Florin 66 2015 Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics. Zbl 1188.81071 Quesne, Christiane 60 2009 Invitation to random tensors. Zbl 1346.83030 Gurau, Razvan 56 2016 The universal Askey-Wilson algebra. Zbl 1244.33015 Terwilliger, Paul 53 2011 Celestial \(w_{1+\infty}\) symmetries from twistor space. Zbl 1489.83067 Adamo, Tim; Mason, Lionel; Sharma, Atul 53 2022 Gravity in twistor space and its Grassmannian formulation. 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Zbl 1375.37160 Deift, Percy 23 2017 A probabilistic origin for a new class of bivariate polynomials. (A probablistic origin for a new class of bivariate polynomials.) Zbl 1163.33308 Hoare, Michael R.; Rahman, Mizan 21 2008 Antisymmetric orbit functions. Zbl 1138.33001 Klimyk, Anatoliy; Patera, Jiri 21 2007 KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018 Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander 21 2012 Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1347.17012 Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 21 2015 Leibniz algebras and Lie algebras. Zbl 1376.17004 Mason, Geoffrey; Yamskulna, Gaywalee 21 2013 Multi-component integrable systems and invariant curve flows in certain geometries. Zbl 1384.37085 Qu, Changzheng; Song, Junfeng; Yao, Ruoxia 20 2013 A recurrence relation approach to higher order quantum superintegrability. Zbl 1217.81105 Kalnins, Ernie G.; Kress, Jonathan M.; Miller, Willard jun. 20 2011 Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere. Zbl 1217.81106 Kalnins, Ernie G.; Miller, Willard jun.; Post, Sarah 20 2011 On Tanaka’s prolongation procedure for filtered structures of constant type. Zbl 1190.58007 Zelenko, Igor 20 2009 Geodesic equations on diffeomorphism groups. Zbl 1153.58006 Vizman, Cornelia 20 2008 Integrable hierarchy of the quantum Benjamin-Ono equation. Zbl 1301.37047 Nazarov, Maxim; Sklyanin, Evgeny 20 2013 Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end. Zbl 1217.82019 Filali, Ghali; Kitanine, Nikolai 19 2011 Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations. Zbl 1160.81377 Quesne, Christiane 19 2009 Derivations of the Moyal algebra and noncommutative gauge theories. Zbl 1160.81470 Wallet, Jean-Christophe 19 2009 \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols. Zbl 1218.17013 Ben Ammar, Mabrouk; Boujelbene, Maha 19 2008 Symmetric space Cartan connections and gravity in three and four dimensions. Zbl 1188.22014 Wise, Derek K. 19 2009 Conformal structures associated to generic rank 2 distributions on 5-manifolds – characterization and Killing-field decomposition. Zbl 1191.53016 Hammerl, Matthias; Sagerschnig, Katja 19 2009 The \(q\)-Onsager algebra and the universal Askey-Wilson algebra. Zbl 1390.33038 Terwilliger, Paul 19 2018 Poles of Painlevé IV rationals and their distribution. Zbl 1393.34082 Masoero, Davide; Roffelsen, Pieter 19 2018 From \(\text{sl}_q(2)\) to a parabosonic Hopf algebra. Zbl 1246.17022 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 19 2011 Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. Zbl 1242.42020 Grünbaum, F. Alberto; De La Iglesia, Manuel D.; Martínez-Finkelshtein, Andrei 19 2011 Introduction to loop quantum cosmology. Zbl 1242.83032 Banerjee, Kinjal; Calcagni, Gianluca; Martín-Benito, Mercedes 19 2012 Loop quantum gravity vacuum with nondegenerate geometry. Zbl 1242.83042 Koslowski, Tim; Sahlmann, Hanno 19 2012 \(\mathcal A = \mathcal U\) for locally acyclic cluster algebras. Zbl 1327.13079 Muller, Greg 19 2014 Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003 Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 19 2016 Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024 Tarasov, Vitaly; Varchenko, Alexander 19 2013 A combinatorial study on quiver varieties. Zbl 1376.14015 Fujii, Shigeyuki; Minabe, Satoshi 19 2017 Racah polynomials and recoupling schemes of \(\mathfrak{su}(1,1)\). Zbl 1325.33009 Post, Sarah 19 2015 Linearization of second-order ordinary differential equations by generalized Sundman transformations. Zbl 1223.34056 Nakpim, Warisa; Meleshko, Sergey V. 18 2010 A view on optimal transport from noncommutative geometry. Zbl 1227.82066 D’andrea, Francesco; Martinetti, Pierre 18 2010 Exotic galilean symmetry and non-commutative mechanics. Zbl 1223.81161 Horváthy, Peter A.; Martina, Luigi; Stichel, Peter C. 18 2010 Double affine Hecke algebras of rank 1 and the \(\mathbb Z_3\)-symmetric Askey-Wilson relations. Zbl 1220.33018 Ito, Tatsuro; Terwilliger, Paul 18 2010 Models of quadratic algebras generated by superintegrable systems in 2D. Zbl 1217.22020 Post, Sarah 18 2011 The form factor program: a review and new results - the nested \(\text{SU}(N)\) off-shell Bethe ansatz. Zbl 1134.81391 Babujian, Hratchya M.; Foerster, Angela; Karowski, Michael 18 2006 Lie algebroids in classical mechanics and optimal control. Zbl 1142.49023 Martínez, Eduardo 18 2007 A universal genus-two curve from Siegel modular forms. 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Zbl 1529.17031 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 3 2023 Non-stationary difference equation and affine Laumon space: quantization of discrete Painlevé equation. Zbl 1528.14039 Awata, Hidetoshi; Hasegawa, Koji; Kanno, Hiroaki; Ohkawa, Ryo; Shakirov, Shamil; Shiraishi, Jun’ichi; Yamada, Yasuhiko 2 2023 Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature. Zbl 07773353 Benatti, Luca; Fogagnolo, Mattia; Mazzieri, Lorenzo 2 2023 Some useful operators on differential forms on Galilean and Carrollian spacetimes. Zbl 1521.58001 Fecko, Marián 2 2023 Recursion relation for Toeplitz determinants and the discrete Painlevé II hierarchy. Zbl 1518.33012 Chouteau, Thomas; Tarricone, Sofia 2 2023 Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov). Zbl 1529.17030 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 2 2023 Spherical induced ensembles with symplectic symmetry. Zbl 1518.60006 Byun, Sung-Soo; Forrester, Peter J. 2 2023 Vector fields and flows on subcartesian spaces. Zbl 1528.58005 Karshon, Yael; Lerman, Eugene 1 2023 Jacobi beta ensemble and \(b\)-Hurwitz numbers. Zbl 1532.15030 Ruzza, Giulio 1 2023 On \(q\)-middle convolution and \(q\)-hypergeometric equations. Zbl 1531.33033 Arai, Yumi; Takemura, Kouichi 1 2023 The double Fock space of type B. Zbl 1531.46047 Bożejko, Marek; Ejsmont, Wiktor 1 2023 Solitons in the gauged Skyrme-Maxwell model. Zbl 1515.81142 Livramento, Leandro Roza; Radu, Eugen; Shnir, Yakov 1 2023 Koenigs theorem and superintegrable Liouville metrics. Zbl 1532.37054 Valent, Galliano 1 2023 A Skyrme model with novel chiral symmetry breaking. Zbl 1529.35433 Sutcliffe, Paul 1 2023 Affine Nijenhuis operators and Hochschild cohomology of trusses. Zbl 1532.16006 Brzeziński, Tomasz; Papworth, James 1 2023 Modified Green-hyperbolic operators. Zbl 1522.35530 Fewster, Christopher J. 1 2023 Ten compatible Poisson brackets on \(\mathbb{P}^5\). Zbl 1525.53084 Nordstrom, Ville; Polishchuk, Alexander 1 2023 On the fourth-order lattice Gel’fand-Dikii equations. Zbl 1510.35276 Tela, Guesh Yfter; Zhao, Song-Lin; Zhang, Da-Jun 1 2023 The \(B_2\) harmonic oscillator with reflections and superintegrability. Zbl 1515.81141 Dunkl, Charles F. 1 2023 Nudged elastic bands and lightly bound skyrmions. Zbl 1534.81092 Speight, James Martin; Winyard, Thomas 1 2023 Sun’s series via cyclotomic multiple zeta values. Zbl 1533.11160 Zhou, Yajun 1 2023 The higher-rank Askey-Wilson algebra and its braid group automorphisms. Zbl 1537.16039 Crampé, Nicolas; Frappat, Luc; Poulain d’Andecy, Loïc; Ragoucy, Eric 1 2023 Information geometry, Jordan algebras, and a coadjoint orbit-like construction. 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Zbl 1490.53105 Morand, Kevin 1 2022 ...and 1508 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,759 Authors 79 Vinet, Luc 45 Zhedanov, Alexei S. 38 Marquette, Ian 32 Terwilliger, Paul M. 30 Crampé, Nicolas 30 Oriti, Daniele 29 Zhang, Dajun 27 Varchenko, Alexander Nikolaevich 25 Meljanac, Stjepan 25 Rivasseau, Vincent 25 Zabrodin, Anton V. 23 Gover, Ashwin Rod 22 Futorny, Vyacheslav M. 22 Grabowski, Janusz 22 Tsyganov, Andreĭ Vladimirovich 22 Zotov, Andrei V. 21 Ballesteros, Angel 21 Cariñena, José F. 21 Cheng, Jipeng 21 Herranz, Francisco José 21 Slavnov, Nikita A. 21 Yang, Wenli 20 Cao, Junpeng 20 Derkachëv, Sergeĭ Èduardovich 20 Gurau, Razvan Gheorghe 20 Livine, Etera R. 20 Qu, Changzheng 20 Ragoucy, Eric 19 De Bie, Hendrik 19 Li, Chuanzhong 18 Huang, Hau-wen 18 Prykarpatsky, Anatoliy Karolevych 18 Quesne, Christiane 18 Scrimshaw, Travis 18 Tarasov, Vitaly Olegovich 18 Znojil, Miloslav 17 Genest, Vincent X. 17 Grigoriev, Maxim 17 Khabibullin, Ismagil Talgatovich 17 Kruglikov, Boris S. 17 Leites, Dimitry A. 17 Mukhin, Evgeny 17 Tanasă, Adrian 17 Tsujimoto, Satoshi 16 Bagarello, Fabio 16 Baseilhac, Pascal 16 Carrozza, Sylvain 16 Konstantinou-Rizos, Sotiris 16 Wallet, Jean-Christophe 16 Zhang, Yaozhong 15 Bonzom, Valentin 15 Bouarroudj, Sofiane 15 de León Rodríguez, Manuel 15 Gaboriaud, Julien 15 Harnad, John 15 Román-Roy, Narciso 15 Skrypnyk, Taras Volodymyrovych 14 Belliard, Samuel 14 Calogero, Francesco A. 14 Grabowska, Katarzyna 14 Hao, Kun 14 Milson, Robert 14 Muriel, Concepción 14 Olver, Peter John 14 Rañada, Manuel F. 14 Rimányi, Richárd 14 Sheng, Yunhe 14 Spiridonov, Vyacheslav Pavlovich 14 van Diejen, Jan Felipe 13 Ben Geloun, Joseph 13 Błaszak, Maciej 13 Bruce, Andrew James 13 Chen, Liangyun 13 Dittrich, Bianca 13 Eynard, Bertrand 13 Gómez-Ullate, David 13 Hrivnák, Jiří 13 Iliev, Plamen 13 Li, Guangliang 13 Mandal, Bhabani Prasad 13 Mariño, Marcos 13 Martinetti, Pierre 13 Mason, Lionel J. 13 Morozov, Alexei Yurievich 13 Noumi, Masatoshi 13 Popovych, Roman O. 13 Porcu, Emilio 13 Ramirez, Luis Enrique 13 Saniga, Metod 13 Šnobl, Libor 12 Adamović, Dražen 12 Borodin, Alexei 12 Byun, Sung-Soo 12 Cohl, Howard Saul 12 de Lucas, Javier 12 Dunajski, Maciej 12 Fordy, Allan P. 12 Frassek, Rouven 12 Gerdzhikov, Vladimir Stefanov 12 Grandati, Yves ...and 7,659 more Authors all top 5 Cited in 581 Journals 641 Journal of High Energy Physics 430 Journal of Mathematical Physics 361 SIGMA. 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Académie des Sciences, Paris 14 Advances in Mathematical Physics 14 Symmetry ...and 481 more Journals all top 5 Cited in 62 Fields 2,541 Quantum theory (81-XX) 1,340 Differential geometry (53-XX) 1,153 Dynamical systems and ergodic theory (37-XX) 1,143 Nonassociative rings and algebras (17-XX) 1,107 Partial differential equations (35-XX) 831 Relativity and gravitational theory (83-XX) 826 Special functions (33-XX) 819 Algebraic geometry (14-XX) 670 Global analysis, analysis on manifolds (58-XX) 560 Associative rings and algebras (16-XX) 518 Statistical mechanics, structure of matter (82-XX) 512 Mechanics of particles and systems (70-XX) 490 Ordinary differential equations (34-XX) 441 Combinatorics (05-XX) 320 Functional analysis (46-XX) 306 Group theory and generalizations (20-XX) 306 Topological groups, Lie groups (22-XX) 300 Probability theory and stochastic processes (60-XX) 296 Difference and functional equations (39-XX) 287 Harmonic analysis on Euclidean spaces (42-XX) 249 Linear and multilinear algebra; matrix theory (15-XX) 246 Several complex variables and analytic spaces (32-XX) 226 Manifolds and cell complexes (57-XX) 221 Operator theory (47-XX) 204 Commutative algebra (13-XX) 184 Number theory (11-XX) 151 Functions of a complex variable (30-XX) 148 Category theory; homological algebra (18-XX) 117 Numerical analysis (65-XX) 94 Fluid mechanics (76-XX) 93 Algebraic topology (55-XX) 80 \(K\)-theory (19-XX) 78 Approximations and expansions (41-XX) 76 Convex and discrete geometry (52-XX) 67 Optics, electromagnetic theory (78-XX) 64 Abstract harmonic analysis (43-XX) 61 Geometry (51-XX) 56 Statistics (62-XX) 54 Field theory and polynomials (12-XX) 54 Computer science (68-XX) 45 Integral transforms, operational calculus (44-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 38 Real functions (26-XX) 36 Potential theory (31-XX) 30 General and overarching topics; collections (00-XX) 30 Mathematical logic and foundations (03-XX) 26 Information and communication theory, circuits (94-XX) 25 Mechanics of deformable solids (74-XX) 25 Classical thermodynamics, heat transfer (80-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 22 Measure and integration (28-XX) 21 Astronomy and astrophysics (85-XX) 19 Integral equations (45-XX) 18 General topology (54-XX) 17 General algebraic systems (08-XX) 14 Systems theory; control (93-XX) 12 Sequences, series, summability (40-XX) 12 Biology and other natural sciences (92-XX) 11 History and biography (01-XX) 10 Geophysics (86-XX) 8 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year