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Fischer, Arthur Elliot

Author ID: fischer.arthur-elliot Recent zbMATH articles by "Fischer, Arthur Elliot"
Published as: Fischer, Arthur E.; Fischer, A. E.; Fischer, Arthur; Fischer, Arthur Eliot; Fischer, A.
Homepage: http://www.math.ucsc.edu/faculty-research/singleton.php?&singleton=true&cruz_id=...

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 767 times in 611 Documents Cited by Year
General relativity. An Einstein centenary survey. Zbl 0424.53001
481
1979
The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082
Fischer, Arthur E.; Marsden, Jerrold E.
93
1972
Deformations of the scalar curvature. Zbl 0336.53032
Fischer, Arthur E.; Marsden, Jerrold E.
72
1975
An introduction to conformal Ricci flow. Zbl 1050.53029
Fischer, Arthur E.
67
2004
Riemannian maps between Riemannian manifolds. Zbl 0780.53033
Fischer, Arthur E.
54
1992
Manifolds of Riemannian metrics with prescribed scalar curvature. Zbl 0288.53040
Fischer, Arthur E.; Marsden, Jerrold E.
43
1974
Linearization stability of the Einstein equations. Zbl 0274.58003
Fischer, Arthur E.; Marsden, Jerrold E.
40
1973
Diffeomorphism groups, hydrodynamics and relativity. Zbl 0284.58002
Marsden, Jerrold E.; Ebin, David G.; Fischer, Arthur E.
37
1972
The Einstein equations of evolution - a geometric approach. Zbl 0233.58009
Fischer, Arthur E.; Marsden, Jerrold E.
36
1972
The structure of the space of solutions of Einstein’s equations. I: One Killing field. Zbl 0454.53044
Fischer, Arthur E.; Marsden, Jerrold E.; Moncrief, Vincent
36
1980
The manifold of conformally equivalent metrics. Zbl 0358.58006
Fischer, Arthur E.; Marsden, Jerrold E.
26
1977
Linearization stability of nonlinear partial differential equations. Zbl 0314.53031
Fischer, Arthur E.; Marsden, Jerrold E.
24
1975
On a purely ”Riemannian” proof of the structure and dimension of the unramified moduli space of a compact Riemann surface. Zbl 0518.32015
Fischer, Arthur E.; Tromba, Anthony J.
19
1984
Hamiltonian reduction of Einstein’s equations of general relativity. Zbl 0976.83500
Fischer, A. E.; Moncrief, V.
17
1997
The structure of compact Ricci-flat Riemannian manifolds. Zbl 0313.53020
Fischer, Arthur E.; Wolf, Joseph A.
17
1975
On the Weil-Petersson metric on Teichmüller space. Zbl 0578.58006
Fischer, A. E.; Tromba, A. J.
16
1984
Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040
Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
15
2017
The existence of maximal slicings in asymptotically flat spacetimes. Zbl 0336.53015
Cantor, M.; Fischer, A.; Marsden, J.; Ó Murchadha, Niall; York, J.
13
1976
Almost complex principal fiber bundles and the complex structure on Teichmüller space. Zbl 0573.32021
Fischer, Arthur E.; Tromba, Anthony J.
12
1984
Resolving the singularities in the space of Riemannian geometries. Zbl 0604.58007
Fischer, Arthur E.
12
1986
The reduced Einstein equations and the conformal volume collapse of 3-manifolds. Zbl 0998.83008
Fischer, Arthur E.; Moncrief, Vincent
11
2001
Hamiltonian reduction and perturbations of continuously self-similar \((n+1)\)-dimensional Einstein vacuum spacetimes. Zbl 1028.83009
Fischer, Arthur E.; Moncrief, Vincent
10
2002
The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories. Zbl 0638.53039
Fischer, Arthur E.
8
1987
Équations des contraintes sur une variété non compacte. (Constraint equations on a non-compact manifold). Zbl 0364.58010
Choquet-Bruhat, Yvonne; Fischer, Arthur; Marsden, Jerold
7
1977
The reduced Hamiltonian of general relativity and the \(\sigma\)-constant of conformal geometry. Zbl 0996.83011
Fischer, Arthur E.; Moncrief, Vincent
7
2000
Quantum conformal superspace. Zbl 0846.58010
Fischer, Arthur E.; Moncrief, Vincent
6
1996
Reducing Einstein’s equations to an unconstrained Hamiltonian system on the cotangent bundle of Teichmüller space. Zbl 0846.58013
Fischer, Arthur E.; Moncrief, Vincent
6
1994
A new proof that Teichmüller space is a cell. Zbl 0627.32019
Fischer, A. E.; Tromba, A. J.
6
1987
Symmetry breaking in general relativity. Zbl 0467.53041
Fischer, Arthur E.; Marsden, Jerrold E.; Moncrief, Vincent
5
1980
Unfolding the singularities in superspace. Zbl 0541.58012
Fischer, Arthur E.
5
1983
The Einstein flow, the \(\sigma\)-constant and the geometrization of 3-manifolds. Zbl 0939.83006
Fischer, Arthur E.; Moncrief, Vincent
5
1999
Riemannian submersions and the regular interval theorem of Morse theory. Zbl 0866.53024
Fischer, Arthur E.
5
1996
The structure of quantum conformal superspace. Zbl 0846.58009
Fischer, Arthur E.; Moncrief, Vincent
4
1996
General relativity, partial differential equations, and dynamical systems. Zbl 0262.35035
Fischer, Arthur E.; Marsden, Jerrold E.
4
1973
Une approche symplectique pour des théorèmes de décomposition en géométrie ou relativité générale. (A symplectic approach to decomposition theorems in geometry or general relativity). Zbl 0316.53034
Arms, Judith Meryl; Fischer, Arthur Eliot; Marsden, Jerrold Eldon
4
1975
A new Hamiltonian structure for the dynamics of general relativity. Zbl 0351.53020
Fischer, Arthur E.; Marsden, Jerrold E.
4
1976
Conformal volume collapse of 3-manifolds and the reduced Einstein flow. Zbl 1021.83007
Fischer, Arthur E.; Moncrief, Vincent
3
2002
The Calabi construction for compact Ricci flat Riemannian manifolds. Zbl 0303.53046
Fischer, Arthur E.; Wolf, Joseph A.
3
1974
Global analysis and general relativity. Zbl 0337.58002
Fischer, Arthur E.; Marsden, Jerrold E.
3
1974
Hamiltonian reduction of Einstein’s equations and the geometrization of three-manifolds. Zbl 0966.37047
Fischer, Arthur E.; Moncrief, Vincent
2
2000
General relativity as a Hamiltonian system. Zbl 0305.53051
Marsden, Jerrold E.; Fischer, Arthur E.
2
1974
New theoretical techniques in the study of gravity. Zbl 0351.35060
Fischer, Arthur; Marsden, Jerrold E.
2
1973
Conservation laws in gauge field theories. Zbl 0579.58036
Fischer, Arthur E.
2
1985
A method of reduction of Einstein’s equations of evolution and a natural symplectic structure on the space of gravitational degrees of freedom. Zbl 0846.58011
Fischer, Arthur E.; Moncrief, Vincent
1
1996
A grand superspace for unified field theories. Zbl 0599.53056
Fischer, Arthur E.
1
1986
A unified approach to conservation laws in general relativity, gauge theories, and elementary particle physics. Zbl 0491.53057
Fischer, Arthur E.
1
1982
Hamiltonian reduction, the Einstein flow, and collapse of 3-manifolds. Zbl 1273.53058
Fischer, Arthur E.; Moncrief, Vincent
1
2000
Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040
Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
15
2017
An introduction to conformal Ricci flow. Zbl 1050.53029
Fischer, Arthur E.
67
2004
Hamiltonian reduction and perturbations of continuously self-similar \((n+1)\)-dimensional Einstein vacuum spacetimes. Zbl 1028.83009
Fischer, Arthur E.; Moncrief, Vincent
10
2002
Conformal volume collapse of 3-manifolds and the reduced Einstein flow. Zbl 1021.83007
Fischer, Arthur E.; Moncrief, Vincent
3
2002
The reduced Einstein equations and the conformal volume collapse of 3-manifolds. Zbl 0998.83008
Fischer, Arthur E.; Moncrief, Vincent
11
2001
The reduced Hamiltonian of general relativity and the \(\sigma\)-constant of conformal geometry. Zbl 0996.83011
Fischer, Arthur E.; Moncrief, Vincent
7
2000
Hamiltonian reduction of Einstein’s equations and the geometrization of three-manifolds. Zbl 0966.37047
Fischer, Arthur E.; Moncrief, Vincent
2
2000
Hamiltonian reduction, the Einstein flow, and collapse of 3-manifolds. Zbl 1273.53058
Fischer, Arthur E.; Moncrief, Vincent
1
2000
The Einstein flow, the \(\sigma\)-constant and the geometrization of 3-manifolds. Zbl 0939.83006
Fischer, Arthur E.; Moncrief, Vincent
5
1999
Hamiltonian reduction of Einstein’s equations of general relativity. Zbl 0976.83500
Fischer, A. E.; Moncrief, V.
17
1997
Quantum conformal superspace. Zbl 0846.58010
Fischer, Arthur E.; Moncrief, Vincent
6
1996
Riemannian submersions and the regular interval theorem of Morse theory. Zbl 0866.53024
Fischer, Arthur E.
5
1996
The structure of quantum conformal superspace. Zbl 0846.58009
Fischer, Arthur E.; Moncrief, Vincent
4
1996
A method of reduction of Einstein’s equations of evolution and a natural symplectic structure on the space of gravitational degrees of freedom. Zbl 0846.58011
Fischer, Arthur E.; Moncrief, Vincent
1
1996
Reducing Einstein’s equations to an unconstrained Hamiltonian system on the cotangent bundle of Teichmüller space. Zbl 0846.58013
Fischer, Arthur E.; Moncrief, Vincent
6
1994
Riemannian maps between Riemannian manifolds. Zbl 0780.53033
Fischer, Arthur E.
54
1992
The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories. Zbl 0638.53039
Fischer, Arthur E.
8
1987
A new proof that Teichmüller space is a cell. Zbl 0627.32019
Fischer, A. E.; Tromba, A. J.
6
1987
Resolving the singularities in the space of Riemannian geometries. Zbl 0604.58007
Fischer, Arthur E.
12
1986
A grand superspace for unified field theories. Zbl 0599.53056
Fischer, Arthur E.
1
1986
Conservation laws in gauge field theories. Zbl 0579.58036
Fischer, Arthur E.
2
1985
On a purely ”Riemannian” proof of the structure and dimension of the unramified moduli space of a compact Riemann surface. Zbl 0518.32015
Fischer, Arthur E.; Tromba, Anthony J.
19
1984
On the Weil-Petersson metric on Teichmüller space. Zbl 0578.58006
Fischer, A. E.; Tromba, A. J.
16
1984
Almost complex principal fiber bundles and the complex structure on Teichmüller space. Zbl 0573.32021
Fischer, Arthur E.; Tromba, Anthony J.
12
1984
Unfolding the singularities in superspace. Zbl 0541.58012
Fischer, Arthur E.
5
1983
A unified approach to conservation laws in general relativity, gauge theories, and elementary particle physics. Zbl 0491.53057
Fischer, Arthur E.
1
1982
The structure of the space of solutions of Einstein’s equations. I: One Killing field. Zbl 0454.53044
Fischer, Arthur E.; Marsden, Jerrold E.; Moncrief, Vincent
36
1980
Symmetry breaking in general relativity. Zbl 0467.53041
Fischer, Arthur E.; Marsden, Jerrold E.; Moncrief, Vincent
5
1980
General relativity. An Einstein centenary survey. Zbl 0424.53001
481
1979
The manifold of conformally equivalent metrics. Zbl 0358.58006
Fischer, Arthur E.; Marsden, Jerrold E.
26
1977
Équations des contraintes sur une variété non compacte. (Constraint equations on a non-compact manifold). Zbl 0364.58010
Choquet-Bruhat, Yvonne; Fischer, Arthur; Marsden, Jerold
7
1977
The existence of maximal slicings in asymptotically flat spacetimes. Zbl 0336.53015
Cantor, M.; Fischer, A.; Marsden, J.; Ó Murchadha, Niall; York, J.
13
1976
A new Hamiltonian structure for the dynamics of general relativity. Zbl 0351.53020
Fischer, Arthur E.; Marsden, Jerrold E.
4
1976
Deformations of the scalar curvature. Zbl 0336.53032
Fischer, Arthur E.; Marsden, Jerrold E.
72
1975
Linearization stability of nonlinear partial differential equations. Zbl 0314.53031
Fischer, Arthur E.; Marsden, Jerrold E.
24
1975
The structure of compact Ricci-flat Riemannian manifolds. Zbl 0313.53020
Fischer, Arthur E.; Wolf, Joseph A.
17
1975
Une approche symplectique pour des théorèmes de décomposition en géométrie ou relativité générale. (A symplectic approach to decomposition theorems in geometry or general relativity). Zbl 0316.53034
Arms, Judith Meryl; Fischer, Arthur Eliot; Marsden, Jerrold Eldon
4
1975
Manifolds of Riemannian metrics with prescribed scalar curvature. Zbl 0288.53040
Fischer, Arthur E.; Marsden, Jerrold E.
43
1974
The Calabi construction for compact Ricci flat Riemannian manifolds. Zbl 0303.53046
Fischer, Arthur E.; Wolf, Joseph A.
3
1974
Global analysis and general relativity. Zbl 0337.58002
Fischer, Arthur E.; Marsden, Jerrold E.
3
1974
General relativity as a Hamiltonian system. Zbl 0305.53051
Marsden, Jerrold E.; Fischer, Arthur E.
2
1974
Linearization stability of the Einstein equations. Zbl 0274.58003
Fischer, Arthur E.; Marsden, Jerrold E.
40
1973
General relativity, partial differential equations, and dynamical systems. Zbl 0262.35035
Fischer, Arthur E.; Marsden, Jerrold E.
4
1973
New theoretical techniques in the study of gravity. Zbl 0351.35060
Fischer, Arthur; Marsden, Jerrold E.
2
1973
The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082
Fischer, Arthur E.; Marsden, Jerrold E.
93
1972
Diffeomorphism groups, hydrodynamics and relativity. Zbl 0284.58002
Marsden, Jerrold E.; Ebin, David G.; Fischer, Arthur E.
37
1972
The Einstein equations of evolution - a geometric approach. Zbl 0233.58009
Fischer, Arthur E.; Marsden, Jerrold E.
36
1972
all top 5

Cited by 668 Authors

24 Marsden, Jerrold Eldon
20 Fischer, Arthur Elliot
16 Moncrief, Vincent E.
12 Bhattacharyya, Arindam
12 Ruggeri, Tommaso
11 Ṣahin, Bayram
10 Dey, Santu
9 Suh, Young Jin
8 Mejía, Diego Alejandro
8 Yuan, Wei
7 Cantor, Murray R.
7 Meena, Kiran
7 Mondal, Puskar
7 Prasad, Rajendra
7 Shelah, Saharon
6 Arms, Judith Meryl
6 Basu, Nirabhra
6 Chaubey, Sudhakar Kumar
6 Cruz, Tiarlos
6 Goldstern, Martin Robert
6 Haseeb, Abdul
6 Hwang, Seungsu
6 McInnes, Brett
6 Pennisi, Sebastiano
6 Rodnianski, Igor
6 Yun, Gabjin
5 Christodoulou, Demetrios
5 De, Uday Chand
5 Ganguly, Dipen
5 Isenberg, James A.
5 Kellner, Jakob
5 Kumar, Rakesh
5 Ratiu, Tudor Stefan
5 Schmid, Rudolf
5 Shanker, Gauree
5 Vîlcu, Gabriel Eduard
5 Yadav, Akhilesh Chandra
4 Akyol, Mehmet Akif
4 Bao, David
4 Bruveris, Martins
4 Choquet-Bruhat, Yvonne
4 Francaviglia, Mauro
4 Gawlik, Evan S.
4 Gomes, Henrique de A.
4 Gupta, Garima
4 Huang, Lan-Hsuan
4 Klausner, Lukas Daniel
4 Kumar, Sushil
4 Kupeli, Demir N.
4 Lin, Yueh-Ju
4 Qing, Jie
4 Rani, Rachna
4 Ringström, Hans
4 Sachdeva, Rashmi
4 Sarkar, Avijit
4 Siddiqi, Mohd Danish
4 Smolentsev, Nikolaĭ Konstantinovich
4 Szczyrba, Wiktor
4 Tromba, Anthony Joseph
3 Andrade, Maria Gorete C.
3 Avalos, Rodrigo
3 Bauer, Martin
3 Boillat, Guy
3 Brauer, Uwe
3 Brill, Dieter R.
3 Bruna, Lluís
3 Cardona, Miguel Antonio
3 Carlotto, Alessandro
3 Corvino, Justin
3 Deshmukh, Sharief
3 Dey, Dibakar
3 Disconzi, Marcelo Mendes
3 García-Río, Eduardo
3 Girbau, Joan
3 Giulini, Domenico J. W.
3 Gündüzalp, Yılmaz
3 Hochgerner, Simon
3 Hughes, Thomas J. R.
3 Jantzen, Robert T.
3 Karp, Lavi
3 Kato, Tosio
3 Khan, Meraj Ali
3 Klainerman, Sergiu
3 Kröncke, Klaus
3 Künzle, Hans Peter
3 Lee, Dan Archibald
3 Lone, Mehraj Ahmad
3 Lott, John
3 Lu, Peng
3 Majhi, Pradip
3 Mandal, Tarak
3 Miao, Pengzi
3 Pandey, Shashikant
3 Patra, Dhriti Sundar
3 Pekonen, Osmo
3 Reiris, Martin
3 Rendall, Alan D.
3 Rudolph, Gerd
3 Sammartino, Marco Maria Luigi
3 Santos, Almir Silva
...and 568 more Authors
all top 5

Cited in 187 Serials

48 Journal of Mathematical Physics
44 Communications in Mathematical Physics
27 General Relativity and Gravitation
27 Journal of Geometry and Physics
16 Annals of Physics
15 International Journal of Geometric Methods in Modern Physics
12 The Journal of Geometric Analysis
12 Mediterranean Journal of Mathematics
11 Classical and Quantum Gravity
10 Reports on Mathematical Physics
10 Mathematische Annalen
9 Living Reviews in Relativity
8 Manuscripta Mathematica
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
7 Inventiones Mathematicae
7 Annals of Global Analysis and Geometry
7 Annales Henri Poincaré
7 Bulletin of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Physique Théorique
6 Calculus of Variations and Partial Differential Equations
5 Journal of Mathematical Analysis and Applications
5 Journal of Functional Analysis
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Differential Geometry and its Applications
5 Turkish Journal of Mathematics
5 Journal of High Energy Physics
4 Letters in Mathematical Physics
4 Compositio Mathematica
4 Gaṇita
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Pacific Journal of Mathematics
4 Proceedings of the American Mathematical Society
4 Physica D
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Honam Mathematical Journal
4 Physical Review Letters
4 Advances in Mathematical Physics
4 Analysis and Mathematical Physics
4 Palestine Journal of Mathematics
3 Archive for Rational Mechanics and Analysis
3 Colloquium Mathematicum
3 Journal of Differential Equations
3 Journal of the Korean Mathematical Society
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Nachrichten
3 Quaestiones Mathematicae
3 Acta Applicandae Mathematicae
3 International Journal of Mathematics
3 International Journal of Modern Physics D
3 Journal of Mathematical Sciences (New York)
3 Balkan Journal of Geometry and its Applications (BJGA)
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Hyperbolic Differential Equations
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Communications on Pure and Applied Mathematics
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Theoretical and Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Journal of Differential Geometry
2 Journal of Geometry
2 The Journal of the Indian Mathematical Society. New Series
2 The Journal of Symbolic Logic
2 Kyungpook Mathematical Journal
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Bulletin of the Korean Mathematical Society
2 Annals of Pure and Applied Logic
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Facta Universitatis. Series Mathematics and Informatics
2 Communications in Partial Differential Equations
2 Journal of Elasticity
2 Bulletin of the American Mathematical Society. New Series
2 Archive for Mathematical Logic
2 Journal of Nonlinear Science
2 Continuum Mechanics and Thermodynamics
2 Nuclear Physics. B. Proceedings Supplements
2 The Journal of Analysis
2 Filomat
2 Novi Sad Journal of Mathematics
2 Geometry & Topology
2 Annals of Mathematics. Second Series
2 Communications of the Korean Mathematical Society
2 Lobachevskii Journal of Mathematics
2 DGDS. Differential Geometry – Dynamical Systems
2 Gravitation & Cosmology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Physical Review D. Series III
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Science China. Mathematics
2 Carpathian Mathematical Publications
2 Korean Journal of Mathematics
1 Acta Mechanica
...and 87 more Serials
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Cited in 43 Fields

381 Differential geometry (53-XX)
221 Relativity and gravitational theory (83-XX)
136 Global analysis, analysis on manifolds (58-XX)
112 Partial differential equations (35-XX)
44 Quantum theory (81-XX)
42 Fluid mechanics (76-XX)
26 Mechanics of particles and systems (70-XX)
23 Manifolds and cell complexes (57-XX)
21 Dynamical systems and ergodic theory (37-XX)
16 Mathematical logic and foundations (03-XX)
15 Several complex variables and analytic spaces (32-XX)
12 Functions of a complex variable (30-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Numerical analysis (65-XX)
11 Mechanics of deformable solids (74-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Topological groups, Lie groups (22-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Optics, electromagnetic theory (78-XX)
7 Algebraic topology (55-XX)
7 Astronomy and astrophysics (85-XX)
6 Algebraic geometry (14-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
5 General topology (54-XX)
4 History and biography (01-XX)
4 Nonassociative rings and algebras (17-XX)
4 Statistics (62-XX)
3 Ordinary differential equations (34-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Approximations and expansions (41-XX)
2 Systems theory; control (93-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year