Patrimony

The Louis Bachelier Group's patrimony has been defined as all the publications produced by academic researchers thanks to Group funding (ILB, FdR, IEF, Labex) or via the use of EquipEx data (BEDOFIH, EUROFIDAI).


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Mean Field Type Control with Congestion (II): An Augmented Lagrangian Method.

Augmented lagrangian, Congestion, Mean field type control

Mean Field Type Control with Congestion (II): An Augmented Lagrangian Method.

Augmented lagrangian, Congestion, Mean field type control

Systems of interacting particles, gradient flow approach in Wasserstein space.

Augmented lagrangian, Benamou-Brenier formula, Cross-Diffusion, Crowd motions, Diffusions croisées, Diffusions non linéaires, Distance de Wasserstein, Dérive non locale, Espèces en interaction, Flots de gradient, Formule de Benamou-Brenier, Gradient flows, Hele-Shaw equation, Interacting species, JKO scheme, Lagrangien augmenté, Mouvement de foules, Multi-Marginal transport, Nonlinear diffusions, Nonlocal drift, Optimal transport, Reaction-Diffusion systems, Schéma JKO, Splitting, Systèmes de réaction-Diffusion, Transport multi-Marges, Transport optimal, Wasserstein distance, Équations d'Hele-Shaw

Augmented Lagrangian methods for transport optimization, Mean-Field Games and degenerate PDEs.

Augmented Lagrangian, Degenerate elliptic PDEs, Mean-Field Games, Monge Problem, Optimal Transport

An augmented Lagrangian approach to Wasserstein gradient flows and applications.

Augmented Lagrangian, Benamou-Brenier formulation, Crowd motions, Granular media, Non-linear diffusion, Semi-implicit JKO scheme, Systems, Wasserstein gradient flows

An Augmented Lagrangian Numerical approach to solving Mean-Fields Games.

Augmented Lagrangian, Douglas Rachford, Mean field games

An augmented Lagrangian approach to Wasserstein gradient flows and applications.

Augmented Lagrangian, Benamou-Brenier formulation, Crowd motions, Granular media, Non-linear diffusion, Semi-implicit JKO scheme, Systems, Wasserstein gradient flows

Variational methods for Hamilton-Jacobi equations and applications.

Augmented Lagrangian, Dualité de Fenchel-Rockafellar, Fenchel-Rockafellar duality, Hamilton-Jacobi equations, Lagrangien augmenté, Optimal transport, Shape from Shading, Transport optimal, Équations d’Hamilton-Jacobi