2 papers
math.PR2026
Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions
Colin Piernot, Kexing Ying
We study the large-scale behavior of solutions to the Allen-Cahn reaction-diffusion equation with Gaussian initial data. We consider the case of short-range dependence in the assoc…
math.PR2025
Fluctuations from a random fractional averaging limit
Xue-Mei Li, Colin Piernot, Szymon Sobczak +1
We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under er…