His research investigates the link between Aerospace engineering and topics such as Differential (mechanical device) that cross with problems in Thermodynamics. His research brings together the fields of Differential (mechanical device) and Thermodynamics. His work on Applied mathematics is being expanded to include thematically relevant topics such as Stochastic differential equation, First order and Viscosity solution. His Viscosity solution study often links to related topics such as Applied mathematics. His study on Mathematical analysis is interrelated to topics such as Uniqueness, Ergodic theory, Infinity, Exponential function, Limit (mathematics) and Stochastic differential equation. In his research, Pierre Cardaliaguet undertakes multidisciplinary study on Limit (mathematics) and Mathematical analysis. Pierre Cardaliaguet is involved in relevant fields of research such as Mean field theory and Degenerate energy levels in the field of Quantum mechanics. His research on Mean field theory frequently connects to adjacent areas such as Quantum mechanics. In the field of Pure mathematics he connects related research areas like Field (mathematics) and Ergodic theory.
His Mathematical analysis study frequently draws connections between adjacent fields such as Hamilton–Jacobi equation, Uniqueness and Boundary (topology). While working on this project, Pierre Cardaliaguet studies both Applied mathematics and Statistics. His study deals with a combination of Statistics and Applied mathematics. As part of his studies on Mathematical economics, he often connects relevant subjects like Nash equilibrium. His Mathematical economics research extends to the thematically linked field of Nash equilibrium. Much of his study explores Mathematical optimization relationship to Hamiltonian (control theory). Hamiltonian (control theory) is often connected to Mathematical optimization in his work. His study brings together the fields of Field (mathematics) and Pure mathematics. His Field (mathematics) study frequently intersects with other fields, such as Pure mathematics.
As a part of the same scientific study, Pierre Cardaliaguet usually deals with the Field (mathematics), concentrating on Pure mathematics and frequently concerns with Ergodic theory. His Ergodic theory study frequently links to related topics such as Pure mathematics. His study focuses on the intersection of Position (finance) and fields such as Finance with connections in the field of Order (exchange). His research on Order (exchange) frequently connects to adjacent areas such as Finance. His work carried out in the field of Uniqueness brings together such families of science as Applied mathematics, Stochastic differential equation and Mathematical economics, Nash equilibrium. Pierre Cardaliaguet performs integrative study on Applied mathematics and Partial differential equation in his works. He undertakes multidisciplinary studies into Partial differential equation and Differential equation in his work. Pierre Cardaliaguet combines Differential equation and Stochastic partial differential equation in his research. He integrates several fields in his works, including Stochastic differential equation and Stochastic partial differential equation.
His Pure mathematics study frequently links to other fields, such as Field (mathematics) and Ergodic theory. Pierre Cardaliaguet combines topics linked to Pure mathematics with his work on Field (mathematics). His work on Mean field theory expands to the thematically related Quantum mechanics. His Mean field theory study often links to related topics such as Quantum mechanics. Pierre Cardaliaguet conducts interdisciplinary study in the fields of Economic growth and Convergence (economics) through his works. He integrates several fields in his works, including Convergence (economics) and Economic growth. Pierre Cardaliaguet undertakes interdisciplinary study in the fields of Limit (mathematics) and Mathematical analysis through his research. Pierre Cardaliaguet conducts interdisciplinary study in the fields of Mathematical analysis and Ergodic theory through his research. In most of his Applied mathematics studies, his work intersects topics such as Stochastic differential equation.
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The Master Equation and the Convergence Problem in Mean Field Games
Pierre Cardaliaguet;François Delarue;Jean-Michel Lasry;Pierre Louis Lions.
Set-Valued Numerical Analysis for Optimal Control and Differential Games
Pierre Cardaliaguet;Marc Quincampoix;Patrick Saint-Pierre.
The Master Equation and the Convergence Problem in Mean Field Games: (AMS-201)
Pierre Cardaliaguet;François Delarue;Jean-Michel Lasry;Pierre-Louis Lions.
Original Contribution: Approximation of a function and its derivative with a neural network
Pierre Cardaliaguet;Guillaume Euvrard.
Neural Networks (1992)
Long time average of mean field games
Pierre Cardaliaguet;Jean-Michel Lasry;Pierre-Louis Lions;Alessio Porretta.
Networks and Heterogeneous Media (2012)
Second order mean field games with degenerate diffusion and local coupling
Pierre Cardaliaguet;P. Jameson Graber;Alessio Porretta;Daniela Tonon.
Nodea-nonlinear Differential Equations and Applications (2015)
Mean field game of controls and an application to trade crowding
Pierre Cardaliaguet;Charles-Albert Lehalle;Charles-Albert Lehalle.
Mathematics and Financial Economics (2018)
Long Time Average of Mean Field Games with a Nonlocal Coupling
Pierre Cardaliaguet;Jean-Michel Lasry;Pierre Louis Lions;Alessio Porretta.
Siam Journal on Control and Optimization (2013)
Weak Solutions for First Order Mean Field Games with Local Coupling
arXiv: Optimization and Control (2015)
Mean field games systems of first order
Pierre Cardaliaguet;Philip Jameson Graber.
ESAIM: Control, Optimisation and Calculus of Variations (2015)
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