13 citations · 39 across the 20 of their papers we have counts for
20 papers
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…
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)) + σ(u(t\,,…
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…
Lower bound on spatial asymptotic of parabolic Anderson model with narrow wedge initial condition
Fei Pu
Let be the solution to parabolic Anderson model with narrow wedge initial condition. Using the association property of parabol…
Ergodicity, CLT and asymptotic maximum of the Airy process
Fei Pu
We first show that the Airy process is associated using the association property of the solution to the stochastic heat equation and convergence of the KPZ equation to the KPZ…
Hitting with probability one for stochastic heat equations with additive noise
Robert C. Dalang, Fei Pu
We study the hitting probabilities of the solution to a system of stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any b…