Homogenized limit of the fully coupled multi-scale non-linear stochastic system

Small gap problem of point processes

Critical dynamical fluctuations in reaction-diffusion processes

Nonlinear stability of compressible vortex sheets in three-dimensional elastodynamics

On the Kaluza sign problem

Random geometry on the annulus

Planar Orthogonal Polynomials and Their Applications

Physics-Assisted Machine Learning for Solving Forward and Inverse Scattering Problems

Multiple collisions of eigenvalues and singular values of matrix Gaussian field

The logarithmic Sobolev inequality and its nonlinear analogues