3 papers
math.PR2026
The ergodic theory of SPDEs in a weak-noise regime
Mathew Joseph, Davar Khoshnevisan, Kunwoo Kim +1
Consider a parabolic SPDE \[ \partial_t u = Îu + Ï(u)η, \] on , where is a centered, generalized Gaussian noise with $\text{Cov}[η(t\,,x)\,…
math.PR2025
An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller
We establish a notion of universality for the parabolic Anderson model via an invariance principle for a wide family of parabolic stochastic partial differential equations. We then…
math.PR2024
On the support of solutions to nonlinear stochastic heat equations
Beom-Seok Han, Kunwoo Kim, Jaeyun Yi
We investigate the strict positivity and the compact support property of solutions to the one-dimensional nonlinear stochastic heat equation: $$\partial_t u(t,x) = \frac{1}{2}\part…