Medium-field games (continued)

The lecture, a continuation of last year's, continues the presentation of a new theory called " mean-field games theory ", developed in collaboration with Mr. Jean-Michel Lasry. The aim of this theory is to introduce, justify, analyze and apply in different contexts a new class of mathematical models for studying the collective behavior of a very large number of interacting agents (or players in the sense of game theory), all of whom wish to " optimize " their decisions.

[...]

This year's topics include the principle of comparison, congestion models and planning-type models.

Program

Lecture

09:00 - 10:00

Program

Medium-field games (continued) (1)

Medium-field games (continued) (2)

Notes on integration and ordinary differential equations

Medium-field games (continued) (3)

Medium-field games (continued) (4)

Functional quantification of stochastic processes and applications

Medium-field games (continued) (5)

Medium-field games (continued) (6)

The Willmore Functional in Geometry and the Calculus of Variations

Medium-field games (continued) (7)

Medium-field games (continued) (8)

Nonlinear Elliptic Problems with Measure Data

Medium-field games (continued) (9)

Medium-field games (continued) (10)

Reduced dynamics and application to molecular simulation

Medium-field games (continued) (11)

Medium-field games (continued) (12)

Controllability of parabolic systems with nonlinear coupling

Medium-field games (continued) (13)

Medium-field games (continued) (14)

Medium-field games (continued) (15)

Medium-field games (continued) (16)

A nonlinear model for describing a defect in a quantum crystal

Medium-field games (continued) (17)

Decentralized upstream scheme : probabilistic interpretation and convergence speed

Entropy estimates for multi-scale rheology models

Conserved quantities for nonlinear wave equations

Solar system stability, from perturbation methods to symplectic integrators

Ocean gyres and trapped Rossby waves

Sobolev gradient methods for numerical simulation of rotating Bose-Einstein condensates

Optimal locomotion in low Reynolds number fluids or how to get around the scallop theorem

hors les murs " session as part of the Journées in honor of John Ball, Doctor Honoris Causa of the Université Pierre et Marie Curie

Navier-Stokes equations with inhomogeneous boundary conditions. From strong solutions to fractional Sobolevs and very weak solutions

Energy-preserving numerical schemes for Hamiltonian systems of wave equations. Application to piano strings

Some mathematical problems posed by electromagnetic metamaterials with negative dielectric permittivity and magnetic permeability

Mathematical modeling of cell proliferation and its circadian control: challenges in cancer chronotherapeutics

Weak models and formulations for nonlinear compressible elasticity with perfect plasticity

Lagrangian stochastic models in fluid mechanics ; application to scale refinement

Mathematical and numerical modeling of the respiratory system

Optimal Control of Discontinuous Solutions of Hyperbolic Conservation Laws: Theory and Numerical Approximation

The direct problem in electrocardiology : modeling, analysis and numerical simulation

See also