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Gloria, Antoine

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Author ID: gloria.antoine Recent zbMATH articles by "Gloria, Antoine"
Published as: Gloria, Antoine; Gloria, A.
External Links: MGP
Documents Indexed: 49 Publications since 2006

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 608 times in 257 Documents Cited by Year
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
78
2011
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020
Gloria, A.; Neukamm, S.; Otto, F.
71
2015
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
52
2012
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
45
2014
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
35
2017
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity. Zbl 1294.74056
Alicandro, Roberto; Cicalese, Marco; Gloria, Antoine
25
2011
An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Zbl 1119.74038
Gloria, Antoine
25
2006
Stochastic homogenization of nonconvex unbounded integral functionals with convex growth. Zbl 1347.49018
Duerinckx, Mitia; Gloria, Antoine
22
2016
Reduction of the resonance error. I: Approximation of homogenized coefficients. Zbl 1233.35016
Gloria, Antoine
19
2011
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations. Zbl 1282.35038
Gloria, Antoine
16
2012
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
15
2015
Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth. Zbl 1315.60116
Egloffe, A.-C.; Gloria, A.; Mourrat, J.-C.; Nguyen, T. N.
14
2015
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
13
2020
Annealed estimates on the Green functions and uncertainty quantification. Zbl 1351.35027
Gloria, Antoine; Marahrens, Daniel
12
2016
Bounded correctors in almost periodic homogenization. Zbl 1355.35011
Armstrong, Scott; Gloria, Antoine; Kuusi, Tuomo
11
2016
Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas. Zbl 1339.35023
Duerinckx, Mitia; Gloria, Antoine
11
2016
Variational description of bulk energies for bounded and unbounded spin systems. Zbl 1158.82003
Alicandro, R.; Cicalese, M.; Gloria, A.
10
2008
Spectral measure and approximation of homogenized coefficients. Zbl 1264.35021
Gloria, Antoine; Mourrat, Jean-Christophe
10
2012
An analytical framework for numerical homogenization. Part II: Windowing and oversampling. Zbl 1156.74362
Gloria, Antoine
9
2008
Random parking, Euclidean functionals, and rubber elasticity. Zbl 1277.60024
Gloria, Antoine; Penrose, Mathew D.
9
2013
A quantitative central limit theorem for the effective conductance on the discrete torus. Zbl 1383.82025
Gloria, Antoine; Nolen, James
8
2016
Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation. Zbl 1335.65086
Gloria, Antoine; Habibi, Zakaria
8
2016
Commutability of homogenization and linearization at identity in finite elasticity and applications. Zbl 1256.35004
Gloria, Antoine; Neukamm, Stefan
7
2011
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
7
2020
Numerical homogenization: survey, new results, and perspectives. Zbl 1329.65300
Gloria, Antoine
7
2012
Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems. Zbl 1308.65142
Coulombel, Jean-François; Gloria, Antoine
6
2011
Long-time homogenization and asymptotic ballistic transport of classical waves. Zbl 1437.35030
Benoit, Antoine; Gloria, Antoine
6
2019
Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027
Gloria, Antoine; Goudon, Thierry; Krell, Stella
6
2013
Mathematical derivation of a rubber-like stored energy functional. Zbl 1233.82052
Alicandro, Roberto; Cicalese, Marco; Gloria, Antoine
5
2007
Multiscale functional inequalities in probability: concentration properties. Zbl 1456.60053
Duerinckx, Mitia; Gloria, Antoine
5
2020
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity. (L’isotropie interdit la perte d’ellipticité forte par homogénéisation en élasticité linéaire.) Zbl 1348.74059
Francfort, Gilles A.; Gloria, Antoine
5
2016
Fluctuation of solutions to linear elliptic equations with noisy diffusion coefficients. Zbl 1270.35063
Gloria, Antoine
5
2013
Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients. Zbl 1276.35026
Gloria, Antoine; Mourrat, Jean-Christophe
4
2013
A direct approach to numerical homogenization in finite elasticity. Zbl 1146.74042
Gloria, Antoine
3
2006
New counterexamples to the cell formula in nonconvex homogenization. Zbl 1304.74052
Barchiesi, Marco; Gloria, Antoine
3
2010
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
3
2021
Foundation, analysis, and numerical investigation of a variational network-based model for rubber. Zbl 1341.82109
Gloria, Antoine; Le Tallec, Patrick
3
2014
Stochastic diffeomorphisms and homogenization of multiple integrals. Zbl 1156.60022
Gloria, Antoine
2
2008
Approximate normal forms via Floquet-Bloch theory: Nehorošev stability for linear waves in quasiperiodic media. Zbl 1461.35051
Duerinckx, Mitia; Gloria, Antoine; Shirley, Christopher
2
2021
A remark on a surprising result by Bourgain in homogenization. Zbl 1426.35012
Duerinckx, Mitia; Gloria, Antoine; Lemm, Marius
2
2019
Domain decomposition based Newton methods for fluid-structure interaction problems. Zbl 1133.74043
Fernández, Miguel Ángel; Gerbeau, Jean-Frédéric; Gloria, Antoine; Vidrascu, Marina
2
2008
Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram. Zbl 1415.35023
Gloria, Antoine; Ruf, Matthias
2
2019
A partitioned Newton method for the interaction of a fluid and a 3D shell structure. Zbl 1329.74276
Fernández, Miguel Ángel; Gerbeau, Jean-Frédéric; Gloria, Antoine; Vidrascu, Marina
2
2010
Exact bounds on the effective behavior of a conducting discrete polycrystal. Zbl 1151.74032
Braides, Andrea; Gloria, Antoine
1
2008
Multiscale functional inequalities in probability: constructive approach. (Inégalités fonctionnelles multiéchelles en probabilité: approche constructive.) Zbl 07272942
Duerinckx, Mitia; Gloria, Antoine
1
2020
From statistical polymer physics to nonlinear elasticity. Zbl 1459.82347
Cicalese, Marco; Gloria, Antoine; Ruf, Matthias
1
2020
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
3
2021
Approximate normal forms via Floquet-Bloch theory: Nehorošev stability for linear waves in quasiperiodic media. Zbl 1461.35051
Duerinckx, Mitia; Gloria, Antoine; Shirley, Christopher
2
2021
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
13
2020
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
7
2020
Multiscale functional inequalities in probability: concentration properties. Zbl 1456.60053
Duerinckx, Mitia; Gloria, Antoine
5
2020
Multiscale functional inequalities in probability: constructive approach. (Inégalités fonctionnelles multiéchelles en probabilité: approche constructive.) Zbl 07272942
Duerinckx, Mitia; Gloria, Antoine
1
2020
From statistical polymer physics to nonlinear elasticity. Zbl 1459.82347
Cicalese, Marco; Gloria, Antoine; Ruf, Matthias
1
2020
Long-time homogenization and asymptotic ballistic transport of classical waves. Zbl 1437.35030
Benoit, Antoine; Gloria, Antoine
6
2019
A remark on a surprising result by Bourgain in homogenization. Zbl 1426.35012
Duerinckx, Mitia; Gloria, Antoine; Lemm, Marius
2
2019
Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram. Zbl 1415.35023
Gloria, Antoine; Ruf, Matthias
2
2019
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
35
2017
Stochastic homogenization of nonconvex unbounded integral functionals with convex growth. Zbl 1347.49018
Duerinckx, Mitia; Gloria, Antoine
22
2016
Annealed estimates on the Green functions and uncertainty quantification. Zbl 1351.35027
Gloria, Antoine; Marahrens, Daniel
12
2016
Bounded correctors in almost periodic homogenization. Zbl 1355.35011
Armstrong, Scott; Gloria, Antoine; Kuusi, Tuomo
11
2016
Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas. Zbl 1339.35023
Duerinckx, Mitia; Gloria, Antoine
11
2016
A quantitative central limit theorem for the effective conductance on the discrete torus. Zbl 1383.82025
Gloria, Antoine; Nolen, James
8
2016
Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation. Zbl 1335.65086
Gloria, Antoine; Habibi, Zakaria
8
2016
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity. (L’isotropie interdit la perte d’ellipticité forte par homogénéisation en élasticité linéaire.) Zbl 1348.74059
Francfort, Gilles A.; Gloria, Antoine
5
2016
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020
Gloria, A.; Neukamm, S.; Otto, F.
71
2015
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
15
2015
Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth. Zbl 1315.60116
Egloffe, A.-C.; Gloria, A.; Mourrat, J.-C.; Nguyen, T. N.
14
2015
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
45
2014
Foundation, analysis, and numerical investigation of a variational network-based model for rubber. Zbl 1341.82109
Gloria, Antoine; Le Tallec, Patrick
3
2014
Random parking, Euclidean functionals, and rubber elasticity. Zbl 1277.60024
Gloria, Antoine; Penrose, Mathew D.
9
2013
Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027
Gloria, Antoine; Goudon, Thierry; Krell, Stella
6
2013
Fluctuation of solutions to linear elliptic equations with noisy diffusion coefficients. Zbl 1270.35063
Gloria, Antoine
5
2013
Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients. Zbl 1276.35026
Gloria, Antoine; Mourrat, Jean-Christophe
4
2013
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
52
2012
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations. Zbl 1282.35038
Gloria, Antoine
16
2012
Spectral measure and approximation of homogenized coefficients. Zbl 1264.35021
Gloria, Antoine; Mourrat, Jean-Christophe
10
2012
Numerical homogenization: survey, new results, and perspectives. Zbl 1329.65300
Gloria, Antoine
7
2012
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
78
2011
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity. Zbl 1294.74056
Alicandro, Roberto; Cicalese, Marco; Gloria, Antoine
25
2011
Reduction of the resonance error. I: Approximation of homogenized coefficients. Zbl 1233.35016
Gloria, Antoine
19
2011
Commutability of homogenization and linearization at identity in finite elasticity and applications. Zbl 1256.35004
Gloria, Antoine; Neukamm, Stefan
7
2011
Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems. Zbl 1308.65142
Coulombel, Jean-François; Gloria, Antoine
6
2011
New counterexamples to the cell formula in nonconvex homogenization. Zbl 1304.74052
Barchiesi, Marco; Gloria, Antoine
3
2010
A partitioned Newton method for the interaction of a fluid and a 3D shell structure. Zbl 1329.74276
Fernández, Miguel Ángel; Gerbeau, Jean-Frédéric; Gloria, Antoine; Vidrascu, Marina
2
2010
Variational description of bulk energies for bounded and unbounded spin systems. Zbl 1158.82003
Alicandro, R.; Cicalese, M.; Gloria, A.
10
2008
An analytical framework for numerical homogenization. Part II: Windowing and oversampling. Zbl 1156.74362
Gloria, Antoine
9
2008
Stochastic diffeomorphisms and homogenization of multiple integrals. Zbl 1156.60022
Gloria, Antoine
2
2008
Domain decomposition based Newton methods for fluid-structure interaction problems. Zbl 1133.74043
Fernández, Miguel Ángel; Gerbeau, Jean-Frédéric; Gloria, Antoine; Vidrascu, Marina
2
2008
Exact bounds on the effective behavior of a conducting discrete polycrystal. Zbl 1151.74032
Braides, Andrea; Gloria, Antoine
1
2008
Mathematical derivation of a rubber-like stored energy functional. Zbl 1233.82052
Alicandro, Roberto; Cicalese, Marco; Gloria, Antoine
5
2007
An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Zbl 1119.74038
Gloria, Antoine
25
2006
A direct approach to numerical homogenization in finite elasticity. Zbl 1146.74042
Gloria, Antoine
3
2006
all top 5

Cited by 291 Authors

30 Gloria, Antoine
18 Mourrat, Jean-Christophe
17 Otto, Felix
12 Armstrong, Scott N.
12 Cicalese, Marco
12 Neukamm, Stefan
11 Duerinckx, Mitia
10 Abdulle, Assyr
10 Legoll, Frédéric
9 Braides, Andrea
8 Henning, Patrick
8 Ruf, Matthias
6 Bella, Peter
6 Fischer, Julian
6 Gu, Yu
6 Kuusi, Tuomo
6 Le Bris, Claude
6 Ohlberger, Mario
5 Alicandro, Roberto
5 Coulombel, Jean-François
5 Piatnitski, Andrey L.
4 Amaziane, Brahim
4 Anza Hafsa, Omar
4 Bal, Guillaume
4 Conlon, Joseph G.
4 Giunti, Arianna
4 Mandallena, Jean-Philippe
4 Minvielle, William
4 Pankratov, Leonid S.
4 Peterseim, Daniel
4 Schäffner, Mathias
4 Schweizer, Ben
4 Xu, Qiang
3 Andres, Sebastian
3 Fehrman, Benjamin J.
3 Gérard-Varet, David
3 Heida, Martin
3 Marahrens, Daniel
3 Niu, Weisheng
3 Owhadi, Houman
3 Prange, Christophe
3 Xu, Yao
3 Zhuge, Jinping
2 Altmann, Robert
2 Arjmand, Doghonay
2 Bach, Annika
2 Barchiesi, Marco
2 Benešová, Barbora
2 Berlyand, Leonid V.
2 Biskup, Marek
2 Blanc, Xavier
2 Briane, Marc
2 Cancès, Eric
2 Chiarini, Alberto
2 Dario, Paul
2 de la Llave, Rafael
2 Deuschel, Jean-Dominique
2 Du, Qiang
2 Ehrlacher, Virginie
2 Fahim, Arash
2 Gelli, Maria Stella
2 Gu, Chenlin
2 Hannukainen, Antti
2 Hillairet, Matthieu
2 Höfer, Richard M.
2 Hou, Thomas Yizhao
2 Huber, Martin E.
2 Ibrahimbegović, Adnan
2 Kassiotis, Christophe
2 Kružík, Martin
2 Lemm, Marius
2 Liu, Pengfei
2 Lu, Jianfeng
2 Matthies, Hermann Georg
2 Pauly, Dirk
2 Penrose, Mathew D.
2 Raoult, Annie
2 Schlömerkemper, Anja
2 Shirley, Christopher
2 Solombrino, Francesco
2 Souganidis, Panagiotis E.
2 Stamm, Benjamin
2 Su, Xifeng
2 Velčić, Igor
2 Verfürth, Barbara
2 Vilmart, Gilles
2 Zeppieri, Caterina Ida
2 Zhao, Peihao
1 Ahn, Sung Won
1 Akkerman, Ido
1 Aleksanyan, Hayk
1 Alexanderian, Alen
1 Almog, Yaniv
1 Argaud, J.-P.
1 Babadjian, Jean-François
1 Babuška, Ivo
1 Bastian, Peter
1 Bazilevs, Yuri
1 Ben-Artzi, Jonathan
1 Benjamini, Itai
...and 191 more Authors
all top 5

Cited in 90 Serials

28 Archive for Rational Mechanics and Analysis
13 SIAM Journal on Mathematical Analysis
11 Multiscale Modeling & Simulation
10 Probability Theory and Related Fields
9 Communications in Mathematical Physics
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal of Computational Physics
7 Calculus of Variations and Partial Differential Equations
7 Stochastic and Partial Differential Equations. Analysis and Computations
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 The Annals of Probability
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 SIAM Journal on Numerical Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Discrete and Continuous Dynamical Systems. Series S
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Differential Equations
3 Journal of Functional Analysis
3 The Annals of Applied Probability
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Analysis & PDE
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Applicable Analysis
2 Communications on Pure and Applied Mathematics
2 Inventiones Mathematicae
2 Transactions of the American Mathematical Society
2 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 SIAM Review
2 Stochastic Processes and their Applications
2 SIAM Journal on Scientific Computing
2 NoDEA. Nonlinear Differential Equations and Applications
2 Bulletin des Sciences Mathématiques
2 Discrete and Continuous Dynamical Systems
2 Journal of the European Mathematical Society (JEMS)
2 Computational Methods in Applied Mathematics
2 Networks and Heterogeneous Media
2 Journal de l’École Polytechnique – Mathématiques
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Advances in Mathematics
1 Calcolo
1 Illinois Journal of Mathematics
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 The Journal of Geometric Analysis
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 Archive of Applied Mechanics
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Annales Mathématiques Blaise Pascal
1 Monte Carlo Methods and Applications
1 Electronic Journal of Probability
1 Bernoulli
1 The Journal of Fourier Analysis and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. B. Fluids
1 Analysis (München)
1 Computational Geosciences
1 Discrete and Continuous Dynamical Systems. Series B
1 Portugaliae Mathematica. Nova Série
1 Milan Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Kinetic and Related Models
1 Confluentes Mathematici
1 Probability Surveys
1 SIAM/ASA Journal on Uncertainty Quantification
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Lebesgue
all top 5

Cited in 36 Fields

182 Partial differential equations (35-XX)
69 Probability theory and stochastic processes (60-XX)
65 Numerical analysis (65-XX)
59 Mechanics of deformable solids (74-XX)
42 Statistical mechanics, structure of matter (82-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
25 Fluid mechanics (76-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Difference and functional equations (39-XX)
7 Quantum theory (81-XX)
5 Operator theory (47-XX)
5 Optics, electromagnetic theory (78-XX)
3 Measure and integration (28-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Combinatorics (05-XX)
2 Real functions (26-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year