| 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).
Noise-induced phenomena in stochastic heat equations
Non-commutative Lp-spaces and analysis on quantum spaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Noncommutative Surfaces
Nonlocal generators of jump type Markov processes
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Number theoretic results in a family
On circle diffeomorphism groups
On function field and smooth specialization of a hypersurface in the projective space
On Ingram’s Conjecture
On some nonlinear elliptic problems
On the distributions of partition ranks and cranks
On the resolution of the Gibbs phenomenon
On the Schauder theory for elliptic PDEs
One and Two dimensional Coulomb Systems
Partial differential equations with applications to biology
Periodic orbits in symplectic geometry
Q-curvature in conformal geometry
Quantitative residual non-vanishing of special values of various L-functions
Quantum Dynamics in the Mean-Field and Semiclassical Regime
