3 papers
math.PR2026
Exponential mixing in a hydrodynamic pilot--wave theory with singular potentials
Hung D. Nguyen, Anand U. Oza
We conduct an analysis of a stochastic hydrodynamic pilot-wave theory, which is a Langevin equation with a memory kernel that describes the dynamics of a walking droplet (or "walke…
math.PR2026
The short memory limit for long time statistics in a stochastic Coleman-Gurtin model of heat conduction
Nathan E. Glatt-Holtz, Vincent R. Martinez, Hung D. Nguyen
We consider a class of semi-linear differential Volterra equations with polynomial-type potentials that incorporates the effects of memory while being subjected to random perturbat…
math.PR2025
Geometric ergodicity of a stochastic Hamiltonian system
Hung D. Nguyen, Lekun Wang
We study the long time statistics of a two-dimensional Hamiltonian system in the presence of Gaussian white noise. While the original dynamics is known to exhibit finite time explo…