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Author ID: gaubert.stephane Recent zbMATH articles by "Gaubert, Stéphane"
Published as: Gaubert, Stéphane; Gaubert, S.; Gaubert, Stephane
External Links: MGP
all top 5

Co-Authors

5 single-authored
58 Akian, Marianne
31 Allamigeon, Xavier
13 Katz, Ricardo David
9 Cohen, Guy
9 Goubault, Eric
9 Qu, Zheng
9 Quadrat, Jean-Pierre
8 Benchimol, Pascal
6 Hochart, Antoine
6 Joswig, Michael
5 Beaude, Olivier
5 Jacquot, Paulin
5 Oudjane, Nadia
5 Skomra, Mateusz
4 Adjé, Assalé
4 Bapat, Ravindra Bhalchandra
4 Boyet, Marin
4 Friedland, Shmuel
4 Kolokoltsov, Vassili N.
4 Magron, Victor
4 Sergeev, Sergeĭ Mikhaĭlovich
4 Van Ackooij, Wim
4 Werner, Benjamin
3 Alasseur, Clemence
3 Bouhtou, Mustapha
3 Butkovič, Peter
3 Clairambault, Jean
3 Cochet-Terrasson, Jean
3 Gunawardena, Jeremy
3 Guterman, Alexander Èmilevich
3 Jacquet, Quentin
3 Lakhoua, Asma
3 Lepoutre, Thomas
3 Nussbaum, Roger David
3 Saadi, Omar
3 Sharify, Meisam
3 Walsh, Cormac
2 Béreau, Antoine
2 Bhatia, Rajendra
2 Blondel, Vincent D.
2 Boeuf, Vianney
2 Cuninghame-Green, Ray A.
2 Edmonds, Jack R.
2 Giua, Alessandro
2 Grand-Clément, Julien
2 Guillaud, Jérémie
2 Gurvich, Vladimir A.
2 Jain, Tanvi
2 Lemmens, Bas
2 Liu, Shanqing
2 Mairesse, Jean
2 McEneaney, William “Mac” M.
2 Meunier, Frédéric
2 Ninove, Laure
2 Niv, Adi
2 Plus, Max
2 Rowen, Louis Halle
2 Singer, Ivan
2 Sridharan, Srinivas
2 Stott, Nikolas
2 Vigeral, Guillaume
2 Viot, Michel
1 Adnet, Frédéric
1 Akian, Mo
1 Aubin-Frankowski, Pierre-Cyril
1 Aznag, Abdellah
1 Beeker, Nathanael
1 Bolte, Jérôme
1 Bonnans, Joseph Frédéric
1 Calvez, Vincent
1 Cannarsa, Piermarco
1 Carli, Pierre
1 Castella, Dominique
1 Chanzy, Érick
1 Colin, Baptiste
1 Costan, Alexandru
1 David, Benoît
1 Depersin, Jules
1 Detournay, Sylvie
1 Di Loreto, Michael
1 Eytard, Jean Bernard
1 Fahrenberg, Uli
1 Fercoq, Olivier
1 Forcier, Maël
1 Gabriel, Pierre
1 Gawlitza, Thomas Martin
1 Glusa, Christian
1 Goix, Laurent
1 Grangereau, Maxime
1 Grigori, Laura
1 Grohens, Théotime
1 Hamdi, Yassine
1 Klimann, Carlos
1 Lapostolle, Frédéric
1 Lecarpentier, Éric
1 Leclère, Vincent
1 Legay, Axel
1 Leroy, Christophe
1 Liberti, Leo
1 Loeb, Thomas
...and 30 more Co-Authors
all top 5

Serials

13 Linear Algebra and its Applications
7 IEEE Transactions on Automatic Control
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Symbolic Computation
4 International Journal of Algebra and Computation
3 SIAM Journal on Control and Optimization
3 Discrete & Computational Geometry
3 SIAM Journal on Discrete Mathematics
3 SIAM Journal on Optimization
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Journal of Computer and System Sciences
2 Transactions of the American Mathematical Society
2 SIAM Journal on Matrix Analysis and Applications
2 Discrete and Continuous Dynamical Systems
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Applied Mathematics and Optimization
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Kybernetika
1 Mathematicae Notae
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Semigroup Forum
1 Mathematical and Computer Modelling
1 Dynamics and Stability of Systems
1 Discrete Event Dynamic Systems
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série II
1 Mathematical Programming. Series A. Series B
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Journal of Convex Analysis
1 Documenta Mathematica
1 Séminaire Lotharingien de Combinatoire
1 Theory of Computing Systems
1 Vietnam Journal of Mathematics
1 Markov Processes and Related Fields
1 Fundamenta Informaticae
1 Journal of Fixed Point Theory and Applications
1 Optimization Letters
1 Logical Methods in Computer Science
1 Mathematical Modelling of Natural Phenomena
1 Journal of Formalized Reasoning
1 Mathematical Control and Related Fields
1 SIAM Journal on Applied Algebra and Geometry

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 1,848 times in 1,023 Documents Cited by Year
Perron-Frobenius theorem for nonnegative multilinear forms and extensions. Zbl 1261.15039
Friedland, S.; Gaubert, S.; Han, L.
216
2013
Duality and separation theorems in idempotent semimodules. Zbl 1042.46004
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
94
2004
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
74
2012
The Perron-Frobenius theorem for homogeneous, monotone functions. Zbl 1067.47064
Gaubert, Stéphane; Gunawardena, Jeremy
73
2004
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
72
2009
Modeling and analysis of timed Petri nets using heaps of pieces. Zbl 0955.68082
Gaubert, Stéphane; Mairesse, Jean
43
1999
Performance evaluation of (max,+) automata. Zbl 0855.93019
Gaubert, Stéphane
42
1995
Le théorème de dualité pour les fonctions min-max. (The duality theorem for min-max functions.) Zbl 0933.49017
Gaubert, Stéphane; Gunawardena, Jeremy
40
1998
The Minkowski theorem for max-plus convex sets. Zbl 1110.52002
Gaubert, Stéphane; Katz, Ricardo D.
38
2007
Methods and applications of \((\max,+)\) linear algebra. Zbl 1498.15034
Gaubert, Stéphane; Plus, Max
36
1997
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
34
2005
The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. Zbl 1157.49034
Akian, Marianne; Gaubert, Stéphane; Lakhoua, Asma
33
2008
Asymptotics of the Perron eigenvalue and eigenvector using max-algebra. Zbl 0922.15001
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
32
1998
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
31
1999
Spectral theorem for convex monotone homogeneous maps, and ergodic control. Zbl 1030.47048
Akian, Marianne; Gaubert, Stéphane
28
2003
Reducible spectral theory with applications to the robustness of matrices in max-algebra. Zbl 1204.15019
Butkovič, P.; Cuninghame-Green, R. A.; Gaubert, S.
28
2010
Tropicalizing the simplex algorithm. Zbl 1334.14033
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
27
2015
Log-barrier interior point methods are not strongly polynomial. Zbl 1391.90637
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
26
2018
A policy iteration algorithm for computing fixed points in static analysis of programs. Zbl 1081.68616
Costan, A.; Gaubert, S.; Goubault, E.; Martel, M.; Putot, S.
25
2005
A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces. Zbl 1255.47053
Gaubert, Stéphane; Vigeral, Guillaume
24
2012
Tropical linear-fractional programming and parametric mean payoff games. Zbl 1270.90081
Gaubert, Stéphane; Katz, Ricardo D.; Sergeev, Sergeĭ
24
2012
Max-plus convex geometry. Zbl 1134.52303
Gaubert, Stéphane; Katz, Ricardo
23
2006
Tropical scaling of polynomial matrices. Zbl 1186.15007
Gaubert, Stéphane; Sharify, Meisam
23
2009
Computing the vertices of tropical polyhedra using directed hypergraphs. Zbl 1312.52001
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
22
2013
Static analysis by policy iteration on relational domains. Zbl 1187.68151
Gaubert, Stephane; Goubault, Eric; Taly, Ankur; Zennou, Sarah
20
2007
Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard. Zbl 0990.93073
Blondel, Vincent D.; Gaubert, Stéphane; Tsitsiklis, John N.
20
2000
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
20
2019
On the Burnside problem for semigroups of matrices in the \((\max,+)\) algebra. Zbl 0858.20050
Gaubert, S.
19
1996
Inferring min and max invariants using max-plus polyhedra. Zbl 1149.68346
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
19
2008
Minimal half-spaces and external representation of tropical polyhedra. Zbl 1218.52001
Gaubert, Stéphane; Katz, Ricardo D.
18
2011
Iteration of order preserving subhomogeneous maps on a cone. Zbl 1101.37032
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas; Nussbaum, Roger
18
2006
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
18
2014
The tropical double description method. Zbl 1230.52024
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
17
2010
L’algèbre \((\max,+)\) et sa symétrisation ou l’algèbre des équilibres. (The \((\max,+)\) algebra and its symmetrization or the algebra of balances). Zbl 0699.90094
Plus, Max
17
1990
The max-plus Martin boundary. Zbl 1182.31017
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
17
2009
Rational series over dioids and discrete event systems. Zbl 0819.93001
Gaubert, Stéphane
16
1994
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
16
2011
Discrete max-plus spectral theory. Zbl 1104.47055
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
16
2005
Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis. Zbl 1260.68082
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
15
2010
Algebraic system analysis of timed Petri nets. Zbl 0897.68069
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
14
1998
Dobrushin’s ergodicity coefficient for Markov operators on cones. Zbl 1323.46042
Gaubert, Stéphane; Qu, Zheng
14
2015
Definable zero-sum stochastic games. Zbl 1312.91012
Bolte, Jérôme; Gaubert, Stéphane; Vigeral, Guillaume
14
2015
Minimal \((\max,+)\) realization of convex sequences. Zbl 0921.93006
Gaubert, Stéphane; Butkovič, Peter; Cuninghame-Green, Raymond
13
1998
Hahn-Banach separation theorem for max-plus semimodules. Zbl 1054.46500
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
13
2001
Uniqueness of the fixed point of nonexpansive semidifferentiable maps. Zbl 1357.47056
Akian, Marianne; Gaubert, Stéphane; Nussbaum, Roger
13
2016
The number of extreme points of tropical polyhedra. Zbl 1246.14078
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D.
13
2011
Duality between invariant spaces for max-plus linear discrete event systems. Zbl 1213.93128
Di Loreto, Michael; Gaubert, Stéphane; Katz, Ricardo D.; Loiseau, Jean-Jacques
12
2010
Resource optimization and \((\min, +)\) spectral theory. Zbl 0845.93035
Gaubert, Stéphane
12
1995
Carathéodory, Helly and the others in the max-plus world. Zbl 1219.14071
Gaubert, Stéphane; Meunier, Frédéric
12
2010
Combinatorial simplex algorithms can solve mean payoff games. Zbl 1336.90057
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
12
2014
Submodularity and randomized rounding techniques for optimal experimental design. Zbl 1237.93057
Bouhtou, Mustapha; Gaubert, Stéphane; Sagnol, Guillaume
11
2010
Tropical polar cones, hypergraph transversals, and mean payoff games. Zbl 1217.14047
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D.
11
2011
Set coverings and invertibility of functional Galois connections. Zbl 1080.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
11
2005
Reachability problems for products of matrices in semirings. Zbl 1108.20057
Gaubert, Stéphane; Katz, Ricardo D.
11
2006
The tropical analogue of polar cones. Zbl 1172.52002
Gaubert, Stéphane; Katz, Ricardo D.
11
2009
Ergodicity conditions for zero-sum games. Zbl 1338.47073
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
11
2015
Task resource models and \((\max,+)\) automata. Zbl 0896.68097
Gaubert, Stéphane; Mairesse, Jean
10
1998
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models. Zbl 1177.35052
Clairambault, J.; Gaubert, S.; Lepoutre, Th.
10
2009
The level set method for the two-sided max-plus eigenproblem. Zbl 1279.15024
Gaubert, Stéphane; Sergeev, Sergeĭ
10
2013
Cyclic projectors and separation theorems in idempotent convex geometry. Zbl 1173.47045
Gaubert, S.; Sergeev, S.
9
2008
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations. Zbl 1141.34326
Clairambault, Jean; Gaubert, Stéphane; Perthame, Benoît
9
2007
Tropical spectrahedra. Zbl 1437.14066
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
9
2020
Circadian rhythm and cell population growth. Zbl 1219.35323
Clairambault, Jean; Gaubert, Stéphane; Lepoutre, Thomas
8
2011
Timed-event graphs with multipliers and homogeneous min-plus systems. Zbl 0957.93056
Cohen, G.; Gaubert, S.; Quadrat, J. P.
8
1998
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
8
2004
Formal proofs for nonlinear optimization. Zbl 1451.90131
Magron, Victor; Allamigeon, Xavier; Gaubert, Stéphane; Werner, Benjamin
8
2015
Min-Plus linearity and statistical mechanics. Zbl 0905.90174
Quadrat, J. P.; Akian, M.; Cohen, G.; Gaubert, S.; McGettrick, M.; Viot, M.
7
1997
Solving generic nonarchimedean semidefinite programs using stochastic game algorithms. Zbl 1379.90021
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
7
2018
Ergodic control and polyhedral approaches to PageRank optimization. Zbl 1369.90142
Fercoq, Olivier; Akian, Marianne; Bouhtou, Mustapha; Gaubert, Stephane
7
2013
Invertibility of functional Galois connections. Zbl 1022.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
7
2002
Tropical bounds for eigenvalues of matrices. Zbl 1297.14063
Akian, Marianne; Gaubert, Stéphane; Marchesini, Andrea
7
2014
A policy iteration algorithm for zero-sum stochastic games with mean payoff. Zbl 1097.91014
Cochet-Terrasson, Jean; Gaubert, Stéphane
6
2006
Tropical Fourier-Motzkin elimination, with an application to real-time verification. Zbl 1301.90069
Allamigeon, Xavier; Fahrenberg, Uli; Gaubert, Stéphane; Katz, Ricardo D.; Legay, Axel
6
2014
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
6
2016
Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis. Zbl 1237.68054
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
6
2012
Performance evaluation of an emergency call center: tropical polynomial systems applied to timed Petri nets. Zbl 1465.68191
Allamigeon, Xavier; Boeuf, Vianney; Gaubert, Stéphane
6
2015
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. Zbl 1428.15009
Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam
6
2017
Stability and convergence in discrete convex monotone dynamical systems. Zbl 1228.37021
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas
5
2011
A tropical isoperimetric inequality. Zbl 1397.14077
Depersin, Jules; Gaubert, Stéphane; Joswig, Michael
5
2017
Sign-nonsingular matrices and matrices with unbalanced determinant in symmetrised semirings. Zbl 0951.15014
Gaubert, S.; Butkovic, P.
5
1999
Abstract interpretation meets convex optimization. Zbl 1246.90118
Gawlitza, Thomas Martin; Seidl, Helmut; Adjé, Assalé; Gaubert, Stéphane; Goubault, Éric
5
2012
Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs. Zbl 1309.47057
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
5
2014
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices. Zbl 1476.65080
Gaubert, Stéphane; Stott, Nikolas
5
2020
The contraction rate in Thompson’s part metric of order-preserving flows on a cone – application to generalized Riccati equations. Zbl 1291.93327
Gaubert, Stéphane; Qu, Zheng
5
2014
The operator approach to entropy games. Zbl 1422.91080
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
5
2019
Rational semimodules over the max-plus semiring and geometric approach to discrete event systems. Zbl 1249.93125
Gaubert, Stéphane; Katz, Ricardo
4
2004
An algebraic method for optimizing resources in timed event graphs. Zbl 0721.90042
Gaubert, Stéphane
4
1990
A game theory approach to the existence and uniqueness of nonlinear Perron-Frobenius eigenvectors. Zbl 1514.47087
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
4
2020
Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area. (Comprendre et surveiller l’évolution de l’épidémie de Covid-19 à partir des appels au numéro 15 : l’exemple de l’agglomération parisienne.) Zbl 07278838
Gaubert, Stéphane; Akian, Marianne; Allamigeon, Xavier; Boyet, Marin; Colin, Baptiste; Grohens, Théotime; Massoulié, Laurent; Parsons, David P.; Adnet, Frédéric; Chanzy, Érick; Goix, Laurent; Lapostolle, Frédéric; Lecarpentier, Éric; Leroy, Christophe; Loeb, Thomas; Marx, Jean-Sébastien; Télion, Caroline; Tréluyer, Laurent; Carli, Pierre
4
2020
Certification of bounds of non-linear functions: the templates method. Zbl 1390.68570
Allamigeon, Xavier; Gaubert, Stéphane; Magron, Victor; Werner, Benjamin
4
2013
Submodular spectral functions of principal submatrices of a Hermitian matrix, extensions and applications. Zbl 1281.15046
Friedland, S.; Gaubert, S.
4
2013
What tropical geometry tells us about the complexity of linear programming. Zbl 1459.90124
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
4
2021
Minimax representation of nonexpansive functions and application to zero-sum recursive games. Zbl 1386.49009
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
3
2018
Petri net languages and infinite subsets of \(\mathbb{N}^m\). Zbl 0958.68120
Gaubert, Stéphane; Giua, Alessandro
3
1999
Rational computation in dioid algebra and its application to performance evaluation of discrete event systems. Zbl 0793.93002
Gaubert, Stéphane; Klimann, Carlos
3
1991
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model. Zbl 1359.37148
Gaubert, Stéphane; Lepoutre, Thomas
3
2015
Checking strict positivity of Kraus maps is NP-hard. Zbl 1392.68202
Gaubert, Stéphane; Qu, Zheng
3
2017
Solving generic nonarchimedean semidefinite programs using stochastic game algorithms. Zbl 1360.90185
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
3
2016
Is the distance geometry problem in NP? Zbl 1271.68111
Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo
3
2013
Spectral inequalities for nonnegative tensors and their tropical analogues. Zbl 1481.15018
Friedland, Shmuel; Gaubert, Stéphane
3
2020
Tropical linear regression and mean payoff games: or, how to measure the distance to equilibria. Zbl 1519.14062
Akian, Marianne; Gaubert, Stéphane; Qi, Yang; Saadi, Omar
1
2023
What tropical geometry tells us about the complexity of linear programming. Zbl 1459.90124
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
4
2021
Piecewise affine dynamical models of Petri nets – application to emergency call centers. Zbl 1522.68356
Allamigeon, Xavier; Boyet, Marin; Gaubert, Stéphane
3
2021
Tropical spectrahedra. Zbl 1437.14066
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
9
2020
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices. Zbl 1476.65080
Gaubert, Stéphane; Stott, Nikolas
5
2020
A game theory approach to the existence and uniqueness of nonlinear Perron-Frobenius eigenvectors. Zbl 1514.47087
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
4
2020
Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area. (Comprendre et surveiller l’évolution de l’épidémie de Covid-19 à partir des appels au numéro 15 : l’exemple de l’agglomération parisienne.) Zbl 07278838
Gaubert, Stéphane; Akian, Marianne; Allamigeon, Xavier; Boyet, Marin; Colin, Baptiste; Grohens, Théotime; Massoulié, Laurent; Parsons, David P.; Adnet, Frédéric; Chanzy, Érick; Goix, Laurent; Lapostolle, Frédéric; Lecarpentier, Éric; Leroy, Christophe; Loeb, Thomas; Marx, Jean-Sébastien; Télion, Caroline; Tréluyer, Laurent; Carli, Pierre
4
2020
Spectral inequalities for nonnegative tensors and their tropical analogues. Zbl 1481.15018
Friedland, Shmuel; Gaubert, Stéphane
3
2020
A privacy-preserving method to optimize distributed resource allocation. Zbl 1448.91130
Beaude, Olivier; Benchimol, Pascal; Gaubert, Stéphane; Jacquot, Paulin; Oudjane, Nadia
1
2020
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
20
2019
The operator approach to entropy games. Zbl 1422.91080
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
5
2019
Correction to: “Matrix versions of the Hellinger distance”. Zbl 1435.15018
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
2
2019
Approximating the volume of tropical polytopes is difficult. Zbl 1420.14139
Gaubert, Stéphane; MacCaig, Marie
2
2019
The tropical analogue of the Helton-Nie conjecture is true. Zbl 1471.14127
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
1
2019
Log-barrier interior point methods are not strongly polynomial. Zbl 1391.90637
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
26
2018
Solving generic nonarchimedean semidefinite programs using stochastic game algorithms. Zbl 1379.90021
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
7
2018
Minimax representation of nonexpansive functions and application to zero-sum recursive games. Zbl 1386.49009
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
3
2018
Generic uniqueness of the bias vector of finite zero-sum stochastic games with perfect information. Zbl 1415.91035
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2
2018
Tropical compound matrix identities. Zbl 1415.15012
Akian, Marianne; Gaubert, Stéphane; Niv, Adi
1
2018
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. Zbl 1428.15009
Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam
6
2017
A tropical isoperimetric inequality. Zbl 1397.14077
Depersin, Jules; Gaubert, Stéphane; Joswig, Michael
5
2017
Checking strict positivity of Kraus maps is NP-hard. Zbl 1392.68202
Gaubert, Stéphane; Qu, Zheng
3
2017
The operator approach to entropy games. Zbl 1402.91017
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
2
2017
Uniqueness of the fixed point of nonexpansive semidifferentiable maps. Zbl 1357.47056
Akian, Marianne; Gaubert, Stéphane; Nussbaum, Roger
13
2016
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
6
2016
Solving generic nonarchimedean semidefinite programs using stochastic game algorithms. Zbl 1360.90185
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz
3
2016
Tropicalizing the simplex algorithm. Zbl 1334.14033
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
27
2015
Dobrushin’s ergodicity coefficient for Markov operators on cones. Zbl 1323.46042
Gaubert, Stéphane; Qu, Zheng
14
2015
Definable zero-sum stochastic games. Zbl 1312.91012
Bolte, Jérôme; Gaubert, Stéphane; Vigeral, Guillaume
14
2015
Ergodicity conditions for zero-sum games. Zbl 1338.47073
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
11
2015
Formal proofs for nonlinear optimization. Zbl 1451.90131
Magron, Victor; Allamigeon, Xavier; Gaubert, Stéphane; Werner, Benjamin
8
2015
Performance evaluation of an emergency call center: tropical polynomial systems applied to timed Petri nets. Zbl 1465.68191
Allamigeon, Xavier; Boeuf, Vianney; Gaubert, Stéphane
6
2015
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model. Zbl 1359.37148
Gaubert, Stéphane; Lepoutre, Thomas
3
2015
Certification of real inequalities: templates and sums of squares. Zbl 1328.90101
Magron, Victor; Allamigeon, Xavier; Gaubert, Stéphane; Werner, Benjamin
1
2015
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
18
2014
Combinatorial simplex algorithms can solve mean payoff games. Zbl 1336.90057
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael
12
2014
Tropical bounds for eigenvalues of matrices. Zbl 1297.14063
Akian, Marianne; Gaubert, Stéphane; Marchesini, Andrea
7
2014
Tropical Fourier-Motzkin elimination, with an application to real-time verification. Zbl 1301.90069
Allamigeon, Xavier; Fahrenberg, Uli; Gaubert, Stéphane; Katz, Ricardo D.; Legay, Axel
6
2014
Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs. Zbl 1309.47057
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
5
2014
The contraction rate in Thompson’s part metric of order-preserving flows on a cone – application to generalized Riccati equations. Zbl 1291.93327
Gaubert, Stéphane; Qu, Zheng
5
2014
The tropical shadow-vertex algorithm solves mean payoff games in polynomial time on average. Zbl 1409.68129
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane
2
2014
Perron-Frobenius theorem for nonnegative multilinear forms and extensions. Zbl 1261.15039
Friedland, S.; Gaubert, S.; Han, L.
216
2013
Computing the vertices of tropical polyhedra using directed hypergraphs. Zbl 1312.52001
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
22
2013
The level set method for the two-sided max-plus eigenproblem. Zbl 1279.15024
Gaubert, Stéphane; Sergeev, Sergeĭ
10
2013
Ergodic control and polyhedral approaches to PageRank optimization. Zbl 1369.90142
Fercoq, Olivier; Akian, Marianne; Bouhtou, Mustapha; Gaubert, Stephane
7
2013
Certification of bounds of non-linear functions: the templates method. Zbl 1390.68570
Allamigeon, Xavier; Gaubert, Stéphane; Magron, Victor; Werner, Benjamin
4
2013
Submodular spectral functions of principal submatrices of a Hermitian matrix, extensions and applications. Zbl 1281.15046
Friedland, S.; Gaubert, S.
4
2013
Is the distance geometry problem in NP? Zbl 1271.68111
Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo
3
2013
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
74
2012
A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces. Zbl 1255.47053
Gaubert, Stéphane; Vigeral, Guillaume
24
2012
Tropical linear-fractional programming and parametric mean payoff games. Zbl 1270.90081
Gaubert, Stéphane; Katz, Ricardo D.; Sergeev, Sergeĭ
24
2012
Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis. Zbl 1237.68054
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
6
2012
Abstract interpretation meets convex optimization. Zbl 1246.90118
Gawlitza, Thomas Martin; Seidl, Helmut; Adjé, Assalé; Gaubert, Stéphane; Goubault, Éric
5
2012
min-max spaces and complexity reduction in min-max expansions. Zbl 1244.93051
Gaubert, Stephane; McEneaney, William M.
2
2012
Minimal half-spaces and external representation of tropical polyhedra. Zbl 1218.52001
Gaubert, Stéphane; Katz, Ricardo D.
18
2011
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
16
2011
The number of extreme points of tropical polyhedra. Zbl 1246.14078
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D.
13
2011
Tropical polar cones, hypergraph transversals, and mean payoff games. Zbl 1217.14047
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D.
11
2011
Circadian rhythm and cell population growth. Zbl 1219.35323
Clairambault, Jean; Gaubert, Stéphane; Lepoutre, Thomas
8
2011
Stability and convergence in discrete convex monotone dynamical systems. Zbl 1228.37021
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas
5
2011
The set of realizations of a max-plus linear sequence is semi-polyhedral. Zbl 1215.68108
Blondel, Vincent; Gaubert, Stéphane; Portier, Natacha
2
2011
Reducible spectral theory with applications to the robustness of matrices in max-algebra. Zbl 1204.15019
Butkovič, P.; Cuninghame-Green, R. A.; Gaubert, S.
28
2010
The tropical double description method. Zbl 1230.52024
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
17
2010
Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis. Zbl 1260.68082
Adjé, Assalé; Gaubert, Stéphane; Goubault, Eric
15
2010
Duality between invariant spaces for max-plus linear discrete event systems. Zbl 1213.93128
Di Loreto, Michael; Gaubert, Stéphane; Katz, Ricardo D.; Loiseau, Jean-Jacques
12
2010
Carathéodory, Helly and the others in the max-plus world. Zbl 1219.14071
Gaubert, Stéphane; Meunier, Frédéric
12
2010
Submodularity and randomized rounding techniques for optimal experimental design. Zbl 1237.93057
Bouhtou, Mustapha; Gaubert, Stéphane; Sagnol, Guillaume
11
2010
Sperner oiks. Zbl 1274.90300
Edmonds, Jack; Gaubert, Stéphane; Gurvich, Vladimir
2
2010
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
72
2009
Tropical scaling of polynomial matrices. Zbl 1186.15007
Gaubert, Stéphane; Sharify, Meisam
23
2009
The max-plus Martin boundary. Zbl 1182.31017
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
17
2009
The tropical analogue of polar cones. Zbl 1172.52002
Gaubert, Stéphane; Katz, Ricardo D.
11
2009
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models. Zbl 1177.35052
Clairambault, J.; Gaubert, S.; Lepoutre, Th.
10
2009
The optimal assignment problem for a countable state space. Zbl 1179.90205
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
1
2009
The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. Zbl 1157.49034
Akian, Marianne; Gaubert, Stéphane; Lakhoua, Asma
33
2008
Inferring min and max invariants using max-plus polyhedra. Zbl 1149.68346
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric
19
2008
Cyclic projectors and separation theorems in idempotent convex geometry. Zbl 1173.47045
Gaubert, S.; Sergeev, S.
9
2008
A representation theorem for the viscosity solutions of a degenerate ergodic Hamilton-Jacobi-Bellman equation on the torus. (Un théorème de représentation des solutions de viscosité d’une équation d’hamilton-Jacobi-bellman ergodique dégénérée sur le tore.) Zbl 1149.93036
Akian, Marianne; David, Benoît; Gaubert, Stéphane
2
2008
The Minkowski theorem for max-plus convex sets. Zbl 1110.52002
Gaubert, Stéphane; Katz, Ricardo D.
38
2007
Static analysis by policy iteration on relational domains. Zbl 1187.68151
Gaubert, Stephane; Goubault, Eric; Taly, Ankur; Zennou, Sarah
20
2007
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations. Zbl 1141.34326
Clairambault, Jean; Gaubert, Stéphane; Perthame, Benoît
9
2007
Max-plus convex geometry. Zbl 1134.52303
Gaubert, Stéphane; Katz, Ricardo
23
2006
Iteration of order preserving subhomogeneous maps on a cone. Zbl 1101.37032
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas; Nussbaum, Roger
18
2006
Reachability problems for products of matrices in semirings. Zbl 1108.20057
Gaubert, Stéphane; Katz, Ricardo D.
11
2006
A policy iteration algorithm for zero-sum stochastic games with mean payoff. Zbl 1097.91014
Cochet-Terrasson, Jean; Gaubert, Stéphane
6
2006
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
34
2005
A policy iteration algorithm for computing fixed points in static analysis of programs. Zbl 1081.68616
Costan, A.; Gaubert, S.; Goubault, E.; Martel, M.; Putot, S.
25
2005
Discrete max-plus spectral theory. Zbl 1104.47055
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
16
2005
Set coverings and invertibility of functional Galois connections. Zbl 1080.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
11
2005
Duality and separation theorems in idempotent semimodules. Zbl 1042.46004
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
94
2004
The Perron-Frobenius theorem for homogeneous, monotone functions. Zbl 1067.47064
Gaubert, Stéphane; Gunawardena, Jeremy
73
2004
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
8
2004
Rational semimodules over the max-plus semiring and geometric approach to discrete event systems. Zbl 1249.93125
Gaubert, Stéphane; Katz, Ricardo
4
2004
Spectral theorem for convex monotone homogeneous maps, and ergodic control. Zbl 1030.47048
Akian, Marianne; Gaubert, Stéphane
28
2003
Reachability and invariance problems in max-plus algebra. Zbl 1059.93088
Gaubert, Stéphane; Katz, Ricardo
2
2003
Invertibility of functional Galois connections. Zbl 1022.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
7
2002
Hahn-Banach separation theorem for max-plus semimodules. Zbl 1054.46500
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
13
2001
Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard. Zbl 0990.93073
Blondel, Vincent D.; Gaubert, Stéphane; Tsitsiklis, John N.
20
2000
Modeling and analysis of timed Petri nets using heaps of pieces. Zbl 0955.68082
Gaubert, Stéphane; Mairesse, Jean
43
1999
A constructive fixed point theorem for min-max functions. Zbl 0958.47028
Cochet-Terrasson, Jean; Gunawardena, Jeremy; Gaubert, Stéphane
31
1999
...and 18 more Documents
all top 5

Cited by 1,209 Authors

71 Gaubert, Stéphane
24 Qi, Liqun
23 Akian, Marianne
23 Allamigeon, Xavier
22 Shitov, Yaroslav Nikolaevich
19 Rowen, Louis Halle
18 Sergeev, Sergeĭ Mikhaĭlovich
17 Fan, Yizheng
15 Izhakian, Zur
14 Butkovič, Peter
14 Hardouin, Laurent
14 Katz, Ricardo David
12 Kang, Liying
12 Niţică, Viorel
12 Peperko, Aljoša
11 Bu, Changjiang
11 Johnson, Marianne
11 Joswig, Michael
11 Plavka, Ján
10 Lahaye, Sébastien
10 Lemmens, Bas
10 Mairesse, Jean
10 Tao, Yuegang
10 Yuan, Xiying
9 Boimond, Jean-Louis
9 Kambites, Mark
9 Lins, Brian
9 Shan, Erfang
9 Shao, Jiayu
9 Wang, Gang
9 Wang, Yi
8 Grigor’ev, Dmitriĭ Yur’evich
8 Komenda, Jan
8 Maia, Carlos Andrey
8 Merlet, Glenn
8 Singer, Ivan
7 Goubault, Eric
7 Krivulin, Nikolai K.
7 Li, Chaoqian
7 Li, Wen
7 McEneaney, William “Mac” M.
7 Mukhamedov, Farruh Maksutovich
7 Myšková, Helena
7 Schneider, Hans
7 Tudisco, Francesco
7 Wang, Ligong
7 Yoshida, Ruriko
7 You, Lihua
7 Zhou, Bo
6 Adjé, Assalé
6 Amari, Said
6 de la Puente, Maria Jesus
6 De Schutter, Bart
6 Dower, Peter M.
6 Gautier, Antoine
6 Giua, Alessandro
6 Guterman, Alexander Èmilevich
6 Hochart, Antoine
6 Li, Yaotang
6 Liberti, Leo
6 Loho, Georg
6 Magron, Victor
6 Maragos, Petros
6 Peláez-Moreno, Carmen
6 Protasov, Vladimir Yu.
6 Raisch, Jörg
6 Tisseur, Françoise
6 Valverde-Albacete, Francisco José
6 Wan, Jiang-Chao
6 Zhang, Yuan
5 Blondel, Vincent D.
5 Chang, An
5 Cottenceau, Bertrand
5 Gawlitza, Thomas Martin
5 Gonçalves, Vinicius Mariano
5 Hein, Matthias
5 Hu, ShengLong
5 Kara, Redouane
5 Knebusch, Manfred
5 Lhommeau, Mehdi
5 Li, Honghai
5 Liu, Lele
5 Mohebi, Hossein
5 Niv, Adi
5 Nussbaum, Roger David
5 Pearson, Kelly Jeanne
5 Sankaranarayanan, Sriram
5 Sun, Lizhu
5 Tran, Ngoc Mai
5 Vigeral, Guillaume
5 Wang, Cailu
5 Wang, Yiju
5 Xiao, Peng
5 Zhang, Liping
5 Zhang, Tan
5 Zhang, Xiaodong
5 Zhou, Jiang
4 Bao, Yanhong
4 Bouillard, Anne
4 Boyet, Marin
...and 1,109 more Authors
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Cited in 267 Serials

167 Linear Algebra and its Applications
34 Discrete Event Dynamic Systems
29 Linear and Multilinear Algebra
20 Automatica
17 Discrete Applied Mathematics
15 Theoretical Computer Science
15 Journal of Symbolic Computation
14 Kybernetika
14 SIAM Journal on Matrix Analysis and Applications
13 Frontiers of Mathematics in China
11 Journal of Algebra
9 Journal of Computational and Applied Mathematics
9 The Electronic Journal of Combinatorics
8 Discrete Mathematics
8 Journal of Mathematical Analysis and Applications
8 Proceedings of the American Mathematical Society
8 Transactions of the American Mathematical Society
8 Systems & Control Letters
8 Discrete & Computational Geometry
7 Fuzzy Sets and Systems
7 Journal of Pure and Applied Algebra
7 Mathematics of Operations Research
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Semigroup Forum
7 SIAM Journal on Control and Optimization
7 SIAM Journal on Discrete Mathematics
7 Mathematical Programming. Series A. Series B
7 Computational and Applied Mathematics
6 Information Sciences
6 Optimization
6 International Journal of Algebra and Computation
6 Formal Methods in System Design
6 SIAM Journal on Scientific Computing
6 Numerical Linear Algebra with Applications
6 Journal of Inequalities and Applications
6 Journal of Combinatorial Optimization
6 Journal of Industrial and Management Optimization
5 Journal of Mathematical Biology
5 Advances in Mathematics
5 Applied Mathematics and Computation
5 Journal of Combinatorial Theory. Series A
5 MCSS. Mathematics of Control, Signals, and Systems
5 Journal of Scientific Computing
5 International Journal of Foundations of Computer Science
5 Numerical Algorithms
5 Positivity
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Fixed Point Theory and Applications
4 International Journal of Control
4 Israel Journal of Mathematics
4 Applied Mathematics and Optimization
4 Journal of Optimization Theory and Applications
4 Information and Computation
4 International Journal of Approximate Reasoning
4 Journal of Algebraic Combinatorics
4 Journal of Mathematical Sciences (New York)
4 Discrete and Continuous Dynamical Systems
4 European Journal of Control
4 Acta Mathematica Sinica. English Series
4 Foundations of Computational Mathematics
4 Dynamic Games and Applications
4 Journal of Theoretical Biology
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Mathematical Notes
3 Mathematics of Computation
3 Calcolo
3 Journal of the London Mathematical Society. Second Series
3 Results in Mathematics
3 Topology and its Applications
3 Advances in Applied Mathematics
3 Asia-Pacific Journal of Operational Research
3 The Annals of Applied Probability
3 Journal of Global Optimization
3 Computational Complexity
3 Journal of Convex Analysis
3 ELA. The Electronic Journal of Linear Algebra
3 Soft Computing
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Nonlinear Analysis. Hybrid Systems
3 Mathematical Modelling of Natural Phenomena
3 Journal of Dynamics and Games
3 Research in the Mathematical Sciences
3 SIAM Journal on Applied Algebra and Geometry
3 Algebraic Statistics
3 Frontiers of Mathematics
2 Acta Informatica
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 International Journal of Systems Science
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Annales de l’Institut Fourier
2 BIT
2 Geometriae Dedicata
2 Integral Equations and Operator Theory
2 Journal of Computer and System Sciences
2 Journal of Functional Analysis
2 Journal of Mathematical Economics
...and 167 more Serials
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Cited in 50 Fields

432 Linear and multilinear algebra; matrix theory (15-XX)
169 Computer science (68-XX)
160 Combinatorics (05-XX)
138 Operations research, mathematical programming (90-XX)
129 Algebraic geometry (14-XX)
126 Systems theory; control (93-XX)
117 Numerical analysis (65-XX)
90 Operator theory (47-XX)
83 Associative rings and algebras (16-XX)
66 Convex and discrete geometry (52-XX)
54 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 Probability theory and stochastic processes (60-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
37 Biology and other natural sciences (92-XX)
36 Order, lattices, ordered algebraic structures (06-XX)
33 Partial differential equations (35-XX)
32 Field theory and polynomials (12-XX)
32 Functional analysis (46-XX)
30 Group theory and generalizations (20-XX)
28 Dynamical systems and ergodic theory (37-XX)
24 Commutative algebra (13-XX)
19 General topology (54-XX)
19 Statistics (62-XX)
18 Information and communication theory, circuits (94-XX)
17 Mathematical logic and foundations (03-XX)
17 Real functions (26-XX)
16 Differential geometry (53-XX)
14 Measure and integration (28-XX)
14 Quantum theory (81-XX)
12 General algebraic systems (08-XX)
11 Category theory; homological algebra (18-XX)
10 Ordinary differential equations (34-XX)
9 Geometry (51-XX)
8 Number theory (11-XX)
8 Functions of a complex variable (30-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Difference and functional equations (39-XX)
3 History and biography (01-XX)
3 Approximations and expansions (41-XX)
3 Integral equations (45-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Nonassociative rings and algebras (17-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Fluid mechanics (76-XX)

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