Le Chen

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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

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 $T = [0, 1]$ , driven by space-time white noise $W ˙$ , with an initial condition $u_{0}$ that is nonnegative and n…