Proving existence of minimal submanifolds (i.e. critical points of the area functional) in various settings has been one of the driving forces of the development of modern calculus of variations, and geometric …

A system in quantum mechanics is modeled by a state, i.e. a $N$ dimensional with trace $1$ positive semidefinite matrix where $N$ is the number of possible values for an observable (e.g. momentum, level of energy). …

The main concern of the present talk is the mathematical and numerical study of a specific Fokker-Planck equation describing the dynamics of energetic particles (runaway electrons or alpha-particles in a plasma gas) …

Bilevel optimization is an important mathematical tool to model phenomena in many domains, such as economic game theory, decision science and machine learning, to name but a few. Despite its importance, efficient …

The asymptotic behavior of Bergman kernel on Kahler manifold has been studied by Tian, Ruan, Zelditch, Catlin, Ma, Marinescu and many others since 1990. The works related to Bergman kernel plays an important role in …

L'effet de tunnel prédit par B.Josephson (Prix Nobel 1973) concerne la jonction de Josephson : un couple de supraconducteurs séparés par une couche de diélectrique très mince. Il consiste en l'existence d'un …