| 강연자 | Francoise Golse |
|---|---|
| 소속 | Ecole Polytechnique |
| date | 2019-10-10 |
The talk will review a new approach to the limits of the quantum N-body dynamics leading to the Hartree equation (in the large N limit) and to the Liouville equation (in the small Planck constant limit). This new strategy for studying both limits involves functionals that are analogous to the Wasserstein distance of exponent 2 used in optimal transport. (Work in collaboration with Clément Mouhot and Thierry Paul).
Random conformal geometry of Coulomb gas formalism
Quasi-homomorphisms into non-commutative groups
Quantum Dynamics in the Mean-Field and Semiclassical Regime
Quantitative residual non-vanishing of special values of various L-functions
Q-curvature in conformal geometry
Periodic orbits in symplectic geometry
Partial differential equations with applications to biology
One and Two dimensional Coulomb Systems
On the Schauder theory for elliptic PDEs
On the resolution of the Gibbs phenomenon
On the distributions of partition ranks and cranks
On some nonlinear elliptic problems
On Ingram’s Conjecture
On function field and smooth specialization of a hypersurface in the projective space
On circle diffeomorphism groups
Number theoretic results in a family
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Nonlocal generators of jump type Markov processes
Noncommutative Surfaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
