| 강연자 | 폴정 |
|---|---|
| 소속 | 카이스트 |
| date | 2021-03-25 |
Coulomb Gases are point processes consisting of particles whose pair interaction is governed by the Coulomb potential. There is also an external potential which confines the particles to a region. Wigner introduced this toy model for the Gibbs states of electrons in a crystal, and in the 1950s, connections with random matrix theory were established. In this talk we will discuss edge statistics of one and two dimensional Coulomb gases.
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
