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math.PR2024
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.PR2022
The invariant measure of a walking droplet in hydrodynamic pilot-wave theory
Hung D. Nguyen, Anand U. Oza
We study the long time statistics of a walker in a hydrodynamic pilot-wave system, which is a stochastic Langevin dynamics with an external potential and memory kernel. While prior…