## Gulliver, Robert D. II

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 Author ID: gulliver.robert-d-ii Published as: Gulliver, Robert; Gulliver, R.; Gulliver, Robert D. II; Gulliver, R. D. II; Gulliver, R. II more...less Homepage: https://math.umn.edu/directory/robert-gulliver External Links: MGP · Wikidata · dblp
 Documents Indexed: 59 Publications since 1971 2 Contributions as Editor Co-Authors: 31 Co-Authors with 37 Joint Publications 838 Co-Co-Authors
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### Co-Authors

 24 single-authored 5 Littman, Walter 5 Spruck, Joel 4 Choe, Jaigyoung 3 Chow, Bennett 2 Triggiani, Roberto 2 White, Brian Cabell 2 Yamada, Sumio 1 Betelú, Santiago I. 1 Coron, Jean-Michel 1 Green, Leon W. 1 Hildebrandt, Stefan 1 Jost, Jürgen 1 Kim, Bang Ok 1 Koo, Yonghoi 1 Lasiecka, Irena 1 Lawson, Herbert Blaine jun. 1 Lesley, Frank David 1 Levy, Silvio V. F. 1 Morgan, Frank 1 Osserman, Robert 1 Park, Sung-Ho 1 Pyo, Juncheol 1 Royden, H. L. 1 Santosa, Fadil N. 1 Scott, G. Peter 1 Seo, Keomkyo 1 Sullivan, John Matthew 1 Tomi, Friedrich 1 Wang, Jing 1 Wente, Henry C. 1 Xu, Guoyi
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### Serials

 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 3 Journal of Differential Geometry 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Communications in Analysis and Geometry 3 Annals of Mathematics. Second Series 2 Inventiones Mathematicae 2 Pacific Journal of Mathematics 1 Archive for Rational Mechanics and Analysis 1 American Journal of Mathematics 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Proceedings of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Communications of the Korean Mathematical Society 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics
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### Fields

 45 Differential geometry (53-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Partial differential equations (35-XX) 8 Manifolds and cell complexes (57-XX) 5 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Fluid mechanics (76-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

46 Publications have been cited 517 times in 394 Documents Cited by Year
A theory of branched immersions of surfaces. Zbl 0295.53002
Gulliver, R. D. II; Osserman, R.; Royden, H. L.
1973
Regularity of minimizing surfaces of prescribed mean curvature. Zbl 0246.53053
Gulliver, Robert D. II
1973
Minimizing p-harmonic maps into spheres. Zbl 0677.58021
Coron, Jean-Michel; Gulliver, Robert
1989
On boundary branch points of minimizing surfaces. Zbl 0263.53009
Gulliver, Robert; Lesley, Frank David
1973
Harmonic maps which solve a free-boundary problem. Zbl 0619.35117
Gulliver, Robert; Jost, Jürgen
1987
Aleksandrov reflection and nonlinear evolution equations. I: The $$n$$-sphere and $$n$$-ball. Zbl 0851.58041
Chow, Bennett; Gulliver, Robert
1996
The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber. Zbl 1067.35014
Gulliver, R.; Lasiecka, I.; Littman, W.; Triggiani, R.
2003
On the variety of manifolds without conjugate points. Zbl 0281.58008
Gulliver, Robert
1975
Isoperimetric inequalities on minimal submanifolds of space forms. Zbl 0777.53063
Choe, Jaigyoung; Gulliver, Robert
1992
The Plateau problem for surfaces of prescribed mean curvature in a cylinder. Zbl 0214.11103
Gulliver, R.; Spruck, J.
1971
Existence theorems for parametric surfaces of prescribed mean curvature. Zbl 0233.53004
Gulliver, Robert; Spruck, Joel
1972
Planes without conjugate points. Zbl 0563.53036
Green, Leon; Gulliver, Robert
1985
The Plateau problem for surfaces of prescribed mean curvature in a Riemannian manifold. Zbl 0275.53033
Gulliver, Robert D. II
1973
On embedded minimal surfaces. Zbl 0347.49033
Gulliver, Robert; Spruck, Joel
1976
The rate of convergence of a harmonic map at a singular point. Zbl 0645.58018
Gulliver, Robert; White, Brian
1989
The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space. Zbl 0776.53042
Choe, Jaigyoung; Gulliver, Robert
1992
The structure of stable minimal hypersurfaces near a singularity. Zbl 0592.53005
Gulliver, Robert; Lawson, H. Blaine jun.
1986
Aleksandrov reflection and geometric evolution of hypersurfaces. Zbl 1004.53048
Chow, Bennett; Gulliver, Robert
2001
Removability of singular points on surfaces of bounded mean curvature. Zbl 0354.53004
Gulliver, Robert
1976
Least area surfaces can have excess triple points. Zbl 0636.53011
Gulliver, Robert; Scott, Peter
1987
Boundary control of PDEs via curvature flows: the view from the boundary. II. Zbl 1076.58019
Betelú, Santiago; Gulliver, Robert; Littman, Walter
2002
Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008
Gulliver, Robert; Hildebrandt, Stefan
1986
Surfaces of constant mean curvature which have a simple projection. Zbl 0233.53003
Gulliver, Robert; Spruck, Joel
1972
Existence of surfaces with prescribed mean curvature vector. Zbl 0261.53041
Gulliver, Robert
1973
On false branch points of incompressible branched immersions. Zbl 0701.53009
Gulliver, Robert; Tomi, Friedrich
1989
Embedded minimal surfaces and total curvature of curves in a manifold. Zbl 1055.53044
Choe, Jaigyoung; Gulliver, Robert
2003
Index and total curvature of complete minimal surfaces. Zbl 0592.53006
Gulliver, Robert
1986
Finiteness of the ramified set for branched immersions of surfaces. Zbl 0336.55002
Gulliver, Robert
1976
Branched immersions of surfaces and reduction of topological type. II. Zbl 0338.57014
Gulliver, Robert
1977
Analysis of a variational approach to progressive lens design. Zbl 1055.78002
Wang, Jing; Gulliver, Robert; Santosa, Fadil
2003
On regularity of generalized surfaces of constant mean curvarure. Zbl 0209.24903
Gulliver, R. II
1971
Regularity of minimizing surfaces of prescribed mean curvature. Zbl 0235.53042
Gulliver, Robert D. II
1972
Tori of prescribed mean curvature and the rotating drop. Zbl 0581.76108
Gulliver, R.
1984
Chord uniqueness and controllability: The view from the boundary. I. Zbl 0978.58014
Gulliver, Robert; Littman, Walter
2000
The symmetry group of a curve preserves a plane. Zbl 0489.53002
Gulliver, Robert; Morgan, Frank
1982
On the nonexistence of a hypersurface of prescribed mean curvature with a given boundary. Zbl 0266.53002
Gulliver, Robert
1974
Branched immersions of surfaces and reduction of topological type. I. Zbl 0299.57014
Gulliver, Robert
1975
Necessary conditions for submanifolds and currents with prescribed mean curvature vector. Zbl 0567.53045
Gulliver, Robert
1983
Minimal surfaces of finite index in manifolds of positive scalar curvature. Zbl 0703.58013
Gulliver, Robert
1988
Total curvature of graphs in space. Zbl 1146.53002
Gulliver, Robert
2007
Total curvature of graphs after Milnor and Euler. Zbl 1253.53004
2012
Sharp growth rate for generalized solutions evolving by mean curvature plus a forcing term. Zbl 1037.53045
Gulliver, Robert; Koo, Yonghoi
2001
Fiber evolution in the heat flow of harmonic maps. Zbl 0738.58013
Gulliver, Robert
1991
A minimal surface with an atypical boundary branch point. Zbl 0731.53005
Gulliver, Robert
1991
Density of a minimal submanifold and total curvature of its boundary. Zbl 1380.53061
Choe, Jaigyoung; Gulliver, Robert
2017
Correction to ”On embedded minimal surfaces”. Zbl 0398.49024
Gulliver, Robert; Spruck, Joel
1979
Density of a minimal submanifold and total curvature of its boundary. Zbl 1380.53061
Choe, Jaigyoung; Gulliver, Robert
2017
Total curvature of graphs after Milnor and Euler. Zbl 1253.53004
2012
Total curvature of graphs in space. Zbl 1146.53002
Gulliver, Robert
2007
The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber. Zbl 1067.35014
Gulliver, R.; Lasiecka, I.; Littman, W.; Triggiani, R.
2003
Embedded minimal surfaces and total curvature of curves in a manifold. Zbl 1055.53044
Choe, Jaigyoung; Gulliver, Robert
2003
Analysis of a variational approach to progressive lens design. Zbl 1055.78002
Wang, Jing; Gulliver, Robert; Santosa, Fadil
2003
Boundary control of PDEs via curvature flows: the view from the boundary. II. Zbl 1076.58019
Betelú, Santiago; Gulliver, Robert; Littman, Walter
2002
Aleksandrov reflection and geometric evolution of hypersurfaces. Zbl 1004.53048
Chow, Bennett; Gulliver, Robert
2001
Sharp growth rate for generalized solutions evolving by mean curvature plus a forcing term. Zbl 1037.53045
Gulliver, Robert; Koo, Yonghoi
2001
Chord uniqueness and controllability: The view from the boundary. I. Zbl 0978.58014
Gulliver, Robert; Littman, Walter
2000
Aleksandrov reflection and nonlinear evolution equations. I: The $$n$$-sphere and $$n$$-ball. Zbl 0851.58041
Chow, Bennett; Gulliver, Robert
1996
Isoperimetric inequalities on minimal submanifolds of space forms. Zbl 0777.53063
Choe, Jaigyoung; Gulliver, Robert
1992
The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space. Zbl 0776.53042
Choe, Jaigyoung; Gulliver, Robert
1992
Fiber evolution in the heat flow of harmonic maps. Zbl 0738.58013
Gulliver, Robert
1991
A minimal surface with an atypical boundary branch point. Zbl 0731.53005
Gulliver, Robert
1991
Minimizing p-harmonic maps into spheres. Zbl 0677.58021
Coron, Jean-Michel; Gulliver, Robert
1989
The rate of convergence of a harmonic map at a singular point. Zbl 0645.58018
Gulliver, Robert; White, Brian
1989
On false branch points of incompressible branched immersions. Zbl 0701.53009
Gulliver, Robert; Tomi, Friedrich
1989
Minimal surfaces of finite index in manifolds of positive scalar curvature. Zbl 0703.58013
Gulliver, Robert
1988
Harmonic maps which solve a free-boundary problem. Zbl 0619.35117
Gulliver, Robert; Jost, Jürgen
1987
Least area surfaces can have excess triple points. Zbl 0636.53011
Gulliver, Robert; Scott, Peter
1987
The structure of stable minimal hypersurfaces near a singularity. Zbl 0592.53005
Gulliver, Robert; Lawson, H. Blaine jun.
1986
Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008
Gulliver, Robert; Hildebrandt, Stefan
1986
Index and total curvature of complete minimal surfaces. Zbl 0592.53006
Gulliver, Robert
1986
Planes without conjugate points. Zbl 0563.53036
Green, Leon; Gulliver, Robert
1985
Tori of prescribed mean curvature and the rotating drop. Zbl 0581.76108
Gulliver, R.
1984
Necessary conditions for submanifolds and currents with prescribed mean curvature vector. Zbl 0567.53045
Gulliver, Robert
1983
The symmetry group of a curve preserves a plane. Zbl 0489.53002
Gulliver, Robert; Morgan, Frank
1982
Correction to ”On embedded minimal surfaces”. Zbl 0398.49024
Gulliver, Robert; Spruck, Joel
1979
Branched immersions of surfaces and reduction of topological type. II. Zbl 0338.57014
Gulliver, Robert
1977
On embedded minimal surfaces. Zbl 0347.49033
Gulliver, Robert; Spruck, Joel
1976
Removability of singular points on surfaces of bounded mean curvature. Zbl 0354.53004
Gulliver, Robert
1976
Finiteness of the ramified set for branched immersions of surfaces. Zbl 0336.55002
Gulliver, Robert
1976
On the variety of manifolds without conjugate points. Zbl 0281.58008
Gulliver, Robert
1975
Branched immersions of surfaces and reduction of topological type. I. Zbl 0299.57014
Gulliver, Robert
1975
On the nonexistence of a hypersurface of prescribed mean curvature with a given boundary. Zbl 0266.53002
Gulliver, Robert
1974
A theory of branched immersions of surfaces. Zbl 0295.53002
Gulliver, R. D. II; Osserman, R.; Royden, H. L.
1973
Regularity of minimizing surfaces of prescribed mean curvature. Zbl 0246.53053
Gulliver, Robert D. II
1973
On boundary branch points of minimizing surfaces. Zbl 0263.53009
Gulliver, Robert; Lesley, Frank David
1973
The Plateau problem for surfaces of prescribed mean curvature in a Riemannian manifold. Zbl 0275.53033
Gulliver, Robert D. II
1973
Existence of surfaces with prescribed mean curvature vector. Zbl 0261.53041
Gulliver, Robert
1973
Existence theorems for parametric surfaces of prescribed mean curvature. Zbl 0233.53004
Gulliver, Robert; Spruck, Joel
1972
Surfaces of constant mean curvature which have a simple projection. Zbl 0233.53003
Gulliver, Robert; Spruck, Joel
1972
Regularity of minimizing surfaces of prescribed mean curvature. Zbl 0235.53042
Gulliver, Robert D. II
1972
The Plateau problem for surfaces of prescribed mean curvature in a cylinder. Zbl 0214.11103
Gulliver, R.; Spruck, J.
1971
On regularity of generalized surfaces of constant mean curvarure. Zbl 0209.24903
Gulliver, R. II
1971
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### Cited by 436 Authors

 13 Gulliver, Robert D. II 11 Tomi, Friedrich 10 Duzaar, Frank 9 Zhu, Miaomiao 8 Steffen, Klaus 7 Cavalcanti, Marcelo Moreira 7 Yao, Pengfei 6 Coskunuzer, Baris 6 Tromba, Anthony Joseph 6 Wood, John C. 5 Ahmad, Daud 5 Gonzalez Martinez, Victor Hugo 5 Hildebrandt, Stefan 5 Jost, Jürgen 5 Meeks, William Hamilton III 5 Rupflin, Melanie 5 Tsai, Dong-Ho 5 Wente, Henry C. 4 Bourni, Theodora 4 Caldiroli, Paolo 4 Choe, Jaigyoung 4 Li, Guanghan 4 Lin, Fang Hua 4 Ning, Zhenhu 4 Seo, Keomkyo 4 Tinaglia, Giuseppe 3 Anderson, Michael T. 3 Bamler, Richard H. 3 Beeson, Michael J. 3 Bourgoin, Jean-Christophe 3 Coron, Jean-Michel 3 Domingos Cavalcanti, Valéria Neves 3 Eells, James jun. 3 Eschenburg, Jost-Hinrich 3 Finn, Robert Samuel 3 Grotowski, Joseph F. 3 Innami, Nobuhiro 3 Ivaki, Mohammad N. 3 Jakob, Ruben 3 Li, Jiayu 3 Liu, Lei 3 Liu, Shitao 3 Liu, Yuxiang 3 Masud, Bilal 3 McCoy, James Alexander 3 Millot, Vincent 3 Nakauchi, Nobumitsu 3 Onninen, Jani 3 Penskoi, Alexei V. 3 Scheven, Christoph 3 Wang, Changyou 3 Wei, Yong 3 White, Brian Cabell 3 Zhang, Zhifei 2 Bialy, Misha 2 Castillon, Philippe 2 Chen, Goong 2 Chen, Yunmei 2 Chow, Bennett 2 Climenhaga, Vaughn 2 Concus, Paul 2 Croke, Christopher B. 2 Day, Stuart 2 Delatorre, Leonel G. 2 Dziuk, Gerhard 2 Fuchs, Martin 2 Gornik, Klaus 2 Hardt, Robert M. 2 Hong, Minchun 2 Howard, Ralph E. 2 Huang, Tao 2 Hungerbuhler, Norbert 2 Hutchinson, John Edward 2 Iacopetti, Alessandro 2 Karpukhin, Mikhail A. 2 Koiso, Miyuki 2 Koski, Aleksis 2 Langford, Mat 2 Lemaire, Luc 2 Li, Qirui 2 Lin, Changsong 2 Lin, Yu-Chu 2 López Camino, Rafael 2 Mao, Jing 2 Minicozzi, William Philip II 2 Moore, John Douglas 2 Morgan, Frank 2 Musina, Roberta 2 Naber, Aaron C. 2 Nadirashvili, Nikolai S. 2 Nakajima, Tôru 2 Osher, Stanley Joel 2 Bessa, Gregório Pacelli 2 Pardon, John Vincent 2 Pérez Muñoz, Joaquín 2 Ripoll, Jaime Bruck 2 Salavessa, Isabel M. C. 2 Sapiro, Guillermo 2 Shen, Changxiang 2 Sire, Yannick ...and 336 more Authors
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### Cited in 110 Serials

 36 Mathematische Zeitschrift 26 Calculus of Variations and Partial Differential Equations 21 Manuscripta Mathematica 20 Mathematische Annalen 18 Archive for Rational Mechanics and Analysis 16 Transactions of the American Mathematical Society 15 The Journal of Geometric Analysis 13 Proceedings of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Archiv der Mathematik 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Inventiones Mathematicae 7 Advances in Mathematics 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Bulletin of the American Mathematical Society. New Series 5 Journal of the European Mathematical Society (JEMS) 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Applied Mathematics and Optimization 4 Duke Mathematical Journal 4 Geometriae Dedicata 4 Annals of Global Analysis and Geometry 4 Communications in Partial Differential Equations 4 Geometry & Topology 4 Annals of Mathematics. Second Series 4 Acta Mathematica Sinica. English Series 4 Communications in Contemporary Mathematics 3 Journal of Fluid Mechanics 3 Journal für die Reine und Angewandte Mathematik 3 Tôhoku Mathematical Journal. Second Series 3 Systems & Control Letters 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 Differential Geometry and its Applications 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Inverse Problems 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Journal of Differential Geometry 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Proceedings of the Japan Academy. Series A 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Analysis (München) 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis & PDE 2 Advances in Mathematical Physics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics Letters 1 Science in China. Series A 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Knot Theory and its Ramifications 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series ...and 10 more Serials
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### Cited in 34 Fields

 266 Differential geometry (53-XX) 119 Global analysis, analysis on manifolds (58-XX) 103 Partial differential equations (35-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 21 Manifolds and cell complexes (57-XX) 18 Systems theory; control (93-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Fluid mechanics (76-XX) 11 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 7 Convex and discrete geometry (52-XX) 5 Potential theory (31-XX) 4 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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