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math.PR2025
Spatial decorrelation of KPZ from narrow wedge
Yu Gu, Fei Pu
We study the spatial decorrelation of the solution to the KPZ equation with narrow wedge initial data. For fixed , we determine the decay rate of the spatial covariance functi…
math.PR2025
Noise sensitivity for stochastic heat and Schrödinger equation
Yu Gu, Tomasz Komorowski
In this note, we consider the stochastic heat and Schrödinger equation, and show that, at time , the onset of the chaos occurs on the scale of , and the Fourier spectrum of…