Edit Profile (opens in new tab) Saint-Pierre, Patrick Co-Author Distance Author ID: saint-pierre.patrick Published as: Saint-Pierre, Patrick; Saint-Pierre, P. Documents Indexed: 44 Publications since 1972, including 2 Books Reviewing Activity: 16 Reviews Co-Authors: 15 Co-Authors with 29 Joint Publications 562 Co-Co-Authors all top 5 Co-Authors 13 single-authored 11 Quincampoix, Marc 9 Cardaliaguet, Pierre 8 Aubin, Jean-Pierre 6 Bonneuil, Noël 3 Bayen, Alexandre M. 2 Cruck, Eva 1 Bernhard, Pierre 1 Claudel, Christian G. 1 Engwerda, Jacob Christiaan 1 Grüne, Lars 1 Kolokoltsov, Vassili N. 1 Laffont, Jean-Jacques 1 Pujal, Dominique 1 Roorda, Berend 1 Schumacher, Johannes M. all top 5 Serials 4 Set-Valued Analysis 3 Applied Mathematics and Optimization 2 Journal of Mathematical Biology 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 Comptes Rendus de l’Académie des Sciences. Série I 2 International Game Theory Review 1 Applied Mathematics and Computation 1 International Economic Review 1 Journal of Mathematical Economics 1 Systems & Control Letters 1 PLISKA. Studia Mathematica Bulgarica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathématiques, Informatique et Sciences Humaines 1 Differential and Integral Equations 1 Journal of Mathematical Systems, Estimation, and Control 1 Mediterranean Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Static & Dynamic Game Theory: Foundations & Applications all top 5 Fields 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Ordinary differential equations (34-XX) 13 Systems theory; control (93-XX) 6 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 410 times in 250 Documents Cited by ▼ Year ▼ Viability theory. New directions. 2nd ed. Zbl 1238.93001 Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 60 2011 Approximation of the viability kernel. Zbl 0790.65081 Saint-Pierre, Patrick 59 1994 Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 57 1999 Pursuit differential games with state constraints. Zbl 1140.91320 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 33 2001 Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002 Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P. 26 1997 An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamical systems. Zbl 0831.34016 Quincampoix, Marc; Saint-Pierre, Patrick 16 1995 Differential games through viability theory: old and recent results. Zbl 1152.91360 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 16 2007 Some algorithms for differential games with two players and one target. Zbl 0821.90145 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 14 1994 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005 Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 14 2013 Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 13 2000 Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005 Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 12 2008 Scale of viability and minimal time of crisis. Zbl 0899.49003 Doyen, L.; Saint-Pierre, P. 9 1997 Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. Zbl 1221.49055 Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick 8 2007 Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013 Falcone, M.; Saint-Pierre, Patrick 8 1987 Beyond optimality: Managing children, assets, and consumption over the life cycle. Zbl 1133.91344 Bonneuil, Noël; Saint-Pierre, Patrick 8 2008 Population viability in three trophic-level food chains. Zbl 1074.92034 Bonneuil, Noël; Saint-Pierre, Patrick 7 2005 Protected polymorphism in the two-locus haploid model with unpredictable fitnesses. Zbl 0997.92032 Bonneuil, Noël; Saint-Pierre, Patrick 6 2000 Viable capture basin for studying differential and hybrid games: application to finance. Zbl 1102.91018 Saint-Pierre, Patrick 6 2004 Hybrid kernels and capture basins for impulse constrained systems. Zbl 1050.93041 Saint-Pierre, Patrick 6 2002 Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 5 1994 Approximation of slow solutions to differential inclusions. Zbl 0718.49020 Saint-Pierre, Patrick 4 1990 Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355 Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick 4 2005 Pursuit-evasion games with impulsive dynamics. Zbl 1152.91365 Crück, Eva; Quincampoix, Marc; Saint-Pierre, Patrick 4 2007 Differential games with state-constraints. Zbl 1057.91009 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 3 2002 Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 3 1995 Viability of boundary of the viability kernel. Zbl 0732.34014 Saint-Pierre, Patrick 2 1991 Nonlinear impulse target problems under state constraint: a numerical analysis based on viability theory. Zbl 1061.49024 Crück, Eva; Saint-Pierre, Patrick 2 2004 Equilibria and stability in set-valued analysis: A viability approach. Zbl 0921.47042 Saint-Pierre, Patrick 1 1996 Fluctuation between subsets of evolutions governed by chaotic systems. Zbl 1167.37340 Saint-Pierre, Patrick; Aubin, Jean-Pierre 1 2004 An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044 Grüne, Lars; Saint-Pierre, Patrick 1 2006 Newton and other continuation methods for multivalued inclusions. Zbl 0846.49016 Saint-Pierre, Patrick 1 1995 Viability kernels and capture basins for analyzing the dynamic behavior: Lorenz attractors, Julia sets, and Hutchinson’s maps. Zbl 1159.37017 Aubin, Jean-Pierre; Saint-Pierre, Patrick 1 2008 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005 Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 14 2013 Viability theory. New directions. 2nd ed. Zbl 1238.93001 Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 60 2011 Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005 Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 12 2008 Beyond optimality: Managing children, assets, and consumption over the life cycle. Zbl 1133.91344 Bonneuil, Noël; Saint-Pierre, Patrick 8 2008 Viability kernels and capture basins for analyzing the dynamic behavior: Lorenz attractors, Julia sets, and Hutchinson’s maps. Zbl 1159.37017 Aubin, Jean-Pierre; Saint-Pierre, Patrick 1 2008 Differential games through viability theory: old and recent results. Zbl 1152.91360 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 16 2007 Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. Zbl 1221.49055 Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick 8 2007 Pursuit-evasion games with impulsive dynamics. Zbl 1152.91365 Crück, Eva; Quincampoix, Marc; Saint-Pierre, Patrick 4 2007 An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044 Grüne, Lars; Saint-Pierre, Patrick 1 2006 Population viability in three trophic-level food chains. Zbl 1074.92034 Bonneuil, Noël; Saint-Pierre, Patrick 7 2005 Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355 Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick 4 2005 Viable capture basin for studying differential and hybrid games: application to finance. Zbl 1102.91018 Saint-Pierre, Patrick 6 2004 Nonlinear impulse target problems under state constraint: a numerical analysis based on viability theory. Zbl 1061.49024 Crück, Eva; Saint-Pierre, Patrick 2 2004 Fluctuation between subsets of evolutions governed by chaotic systems. Zbl 1167.37340 Saint-Pierre, Patrick; Aubin, Jean-Pierre 1 2004 Hybrid kernels and capture basins for impulse constrained systems. Zbl 1050.93041 Saint-Pierre, Patrick 6 2002 Differential games with state-constraints. Zbl 1057.91009 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 3 2002 Pursuit differential games with state constraints. Zbl 1140.91320 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 33 2001 Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 13 2000 Protected polymorphism in the two-locus haploid model with unpredictable fitnesses. Zbl 0997.92032 Bonneuil, Noël; Saint-Pierre, Patrick 6 2000 Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 57 1999 Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002 Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P. 26 1997 Scale of viability and minimal time of crisis. Zbl 0899.49003 Doyen, L.; Saint-Pierre, P. 9 1997 Equilibria and stability in set-valued analysis: A viability approach. Zbl 0921.47042 Saint-Pierre, Patrick 1 1996 An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamical systems. Zbl 0831.34016 Quincampoix, Marc; Saint-Pierre, Patrick 16 1995 Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 3 1995 Newton and other continuation methods for multivalued inclusions. Zbl 0846.49016 Saint-Pierre, Patrick 1 1995 Approximation of the viability kernel. Zbl 0790.65081 Saint-Pierre, Patrick 59 1994 Some algorithms for differential games with two players and one target. Zbl 0821.90145 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 14 1994 Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017 Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick 5 1994 Viability of boundary of the viability kernel. Zbl 0732.34014 Saint-Pierre, Patrick 2 1991 Approximation of slow solutions to differential inclusions. Zbl 0718.49020 Saint-Pierre, Patrick 4 1990 Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013 Falcone, M.; Saint-Pierre, Patrick 8 1987 all cited Publications top 5 cited Publications all top 5 Cited by 325 Authors 19 Quincampoix, Marc 15 Aubin, Jean-Pierre 12 Saint-Pierre, Patrick 11 Bonneuil, Noël 10 Smirnov, Sergeĭ Nikolaevich 10 Zidani, Hasnaa 9 Kumkov, Sergey S. 8 Patsko, Valerii S. 7 Bokanowski, Olivier 7 de Lara, Michel 6 Cardaliaguet, Pierre 6 Gao, Yan 5 Frankowska, Hélène 5 Hermosilla, Cristopher 5 Krawczyk, Jacek Bogdan 5 Serea, Oana-Silvia 5 Turova, Varvara L. 4 Doyen, Luc 4 Gajardo, Pedro 4 Lorenz, Thomas 4 Mitchell, Ian M. 3 Averboukh, Yuriĭ Vladimirovich 3 Bagagiolo, Fabio 3 Bayen, Térence 3 Bettiol, Piernicola 3 Botkin, Nikolai D. 3 Buckdahn, Rainer 3 Claudel, Christian G. 3 Falcone, Maurizio 3 Jaulin, Luc 3 Kamneva, Liudmila 3 Le Ménec, Stéphane 3 Lv, Jianfeng 3 Lygeros, John 3 Munts, Nataly V. 3 Rapaport, Alain 3 Seube, Nicolas 3 Turetsky, Vladimir 3 Ushakov, Vladimir Nikolaevich 2 Baier, Robert 2 Bernhard, Pierre 2 Brogliato, Bernard 2 Chatterjee, Debasish 2 Chen, Luxi 2 Collins, Peter J. 2 Coutin, Laure 2 Cruck, Eva 2 Désilles, Anya 2 Dumont, Guy A. 2 El Farouq, Naïma 2 Ferrara, Massimiliano 2 Friesz, Terry L. 2 Gomoyunov, Mikhail Igorevich 2 Han, Ke 2 Hardouin, Laurent 2 Ibragimov, Gafurjan I. 2 Kaynama, Shahab 2 Kornev, Dmitriĭ Vasil’evich 2 Lhommeau, Mehdi 2 Li, Yanning 2 Lou, Zhi-E 2 Maggistro, Rosario 2 Marie, Nicolas 2 Moon, Jun-Hee 2 Nour, Chadi 2 Pansera, Bruno Antonio 2 Picarelli, Athena 2 Rieger, Janosch 2 Salcedo, Lilian Sofia Sepulveda 2 Tanwani, Aneel 2 Vinter, Richard B. 2 Wu, Xiaochi 2 Zhao, Na 2 Zoppello, Marta 1 Agarwal, Ravi P. 1 Ahmadizadeh, Saeed 1 Akinwumi, Titilayo O. 1 Alias, Idham Arif 1 Aliyari Shoorehdeli, Mahdi 1 Alla, Alessandro 1 Alpay, Daniel Aron 1 Alvarez, Isabelle 1 Ancona, Fabio 1 Andreev, N. A. 1 Armstrong, Niles 1 Asarin, Eugene 1 Aseev, Sergei M. 1 Assellaou, Mohamed 1 Aubrecht, Johannes A. S. 1 Ayoola, Ezekiel O. 1 Badreddine, Zeinab 1 Baklanov, Artem Pavlovich 1 Balatif, Omar 1 Banavar, Ravi N. 1 Bardi, Martino 1 Barrios, Edwin 1 Barton, Paul I. 1 Bauso, Dario 1 Bekiaris-Liberis, Nikolaos 1 Bhaskar, Tenali Gnana ...and 225 more Authors all top 5 Cited in 108 Serials 17 Dynamic Games and Applications 10 Journal of Mathematical Analysis and Applications 10 Automatica 9 Applied Mathematics and Optimization 9 Systems & Control Letters 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 SIAM Journal on Control and Optimization 5 Mathematical Biosciences 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 International Game Theory Review 4 Automation and Remote Control 4 Computational Management Science 3 Applied Mathematics and Computation 3 International Journal of Game Theory 3 Numerische Mathematik 3 Journal of Convex Analysis 3 Mathematical Population Studies 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Difference Equations 3 Networks and Spatial Economics 3 Proceedings of the Steklov Institute of Mathematics 3 Set-Valued and Variational Analysis 3 Matematicheskaya Teoriya Igr i eë Prilozheniya 3 Games 2 International Journal of Control 2 Prikladnaya Matematika i Mekhanika 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Mathematical Economics 2 Theoretical Computer Science 2 Optimal Control Applications & Methods 2 Mathematical Social Sciences 2 Journal of Scientific Computing 2 Computational Mathematics and Modeling 2 Stochastic Processes and their Applications 2 Set-Valued Analysis 2 European Journal of Control 2 Nonlinear Analysis. Hybrid Systems 2 Mathematical Control and Related Fields 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Journal of Approximation Theory 1 Kybernetika 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Theoretical Population Biology 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization 1 International Journal of Approximate Reasoning 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 International Journal of Adaptive Control and Signal Processing 1 MSCS. Mathematical Structures in Computer Science 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 International Journal of Robust and Nonlinear Control 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Annals of Mathematics and Artificial Intelligence 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Discrete Dynamics in Nature and Society 1 New Journal of Physics 1 Natural Resource Modeling 1 Macroeconomic Dynamics 1 CEJOR. Central European Journal of Operations Research 1 Journal of Dynamical and Control Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Evolution Equations 1 Quantitative Finance 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 ACM Transactions on Computational Logic 1 Mathematical Biosciences and Engineering 1 Journal of Control Theory and Applications 1 Journal of Industrial and Management Optimization 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 Journal of Nonlinear Science and Applications 1 Asian Journal of Control 1 Analysis and Mathematical Physics ...and 8 more Serials all top 5 Cited in 31 Fields 107 Calculus of variations and optimal control; optimization (49-XX) 103 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Systems theory; control (93-XX) 49 Ordinary differential equations (34-XX) 25 Operations research, mathematical programming (90-XX) 22 Partial differential equations (35-XX) 21 Numerical analysis (65-XX) 20 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Mathematical logic and foundations (03-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 General topology (54-XX) 4 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year