Edit Profile (opens in new tab) Gaubert, Stéphane Co-Author Distance Author ID: gaubert.stephane Published as: Gaubert, Stéphane; Gaubert, S.; Gaubert, Stephane more...less External Links: MGP Documents Indexed: 175 Publications since 1990, including 1 Book and 43 Additional arXiv Preprints 1 Further Contribution Co-Authors: 128 Co-Authors with 171 Joint Publications 2,967 Co-Co-Authors 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 all top 5 Fields 41 Linear and multilinear algebra; matrix theory (15-XX) 40 Operations research, mathematical programming (90-XX) 38 Computer science (68-XX) 30 Algebraic geometry (14-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Operator theory (47-XX) 24 Systems theory; control (93-XX) 19 Convex and discrete geometry (52-XX) 17 Associative rings and algebras (16-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 11 Numerical analysis (65-XX) 9 Combinatorics (05-XX) 9 Field theory and polynomials (12-XX) 8 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 Group theory and generalizations (20-XX) 4 Partial differential equations (35-XX) 3 Mathematical logic and foundations (03-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year