3 papers
math.PR2026
Two-time spatial decorrelation for the flat KPZ fixed point
Le Chen, Fei Pu
We establish quantitative two-time spatial decorrelation for the Kardar--Parisi--Zhang fixed point with flat initial data. For every ,there exist constants such that…
math.PR2025
Uniform dimension theorems for parabolic SPDEs
Davar Khoshnevisan, Cheuk Yin Lee, Fei Pu +1
Consider the following -dimensional system of Itô type stochastic PDEs, \begin{align*}\left[\begin{aligned} &\partial_t u(t\,,x) = \partial^2_x u(t\,,x) + b(u(t\,,x)) + Ï(u(t\…
math.PR2025
Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line
Robert C. Dalang, David Nualart, Fei Pu
For Gaussian random fields with values in , sharp upper and lower bounds on the probability of hitting a fixed set have been available for many years. These apply in…