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.AP2026
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
Le Chen, Ian Ruau, Wenxian Shen
This paper is Part II of a series on global existence and asymptotic behavior of positive solutions to \begin{equation*} \begin{cases} \displaystyle u_t=Îu-Ï_0\nabla\cdot\left(\f…
math.PR2025
A stochastic heat equation with non-locally Lipschitz coefficients
Le Chen, Jingyu Huang, Wenxuan Tao
We consider the stochastic heat equation (SHE) on the torus , driven by space-time white noise , with an initial condition that is nonnegative and n…