Meanfield disordered systems and HamiltonJacobi equations
Meanfield disordered systems and HamiltonJacobi equations

JeanChristophe Mourrat, ENS Paris
Fine Hall 214
Spin glasses are the most basic examples of disordered systems of statistical mechanics with meanfield interactions. The infinitevolume limit of their free energies are described by the celebrated Parisi formula. I will describe a connection between this result and certain HamiltonJacobi equations. The talk will then mostly focus on a simpler setting arising from the problem of infering a large rankone matrix, in which the corresponding HamiltonJacobi equation is posed in a finitedimensional space.