Fei Pu

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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 $s, t > 0$ ,there exist constants $C, c > 0$ such that…

math.PR2025

Uniform dimension theorems for parabolic SPDEs

Davar Khoshnevisan, Cheuk Yin Lee, Fei Pu +1

Consider the following $p$ -dimensional system of ItÃ´ 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 $R^{d}$ , sharp upper and lower bounds on the probability of hitting a fixed set have been available for many years. These apply in…