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math.PR2026
Spatial covariance of KPZ from flat initial profile
Le Chen, Juan J. Jiménez
We study the fixed-time spatial covariance of the KPZ equation with flat initial profile. Using Malliavin calculus and a Clark-Ocone representation, we show that as ,…
math.PR2026
A class of d-dimensional directed polymers in a Gaussian environment
Le Chen, Cheng Ouyang, Samy Tindel +1
We introduce and analyze a broad class of continuous directed polymers in driven by Gaussian environments that are white in time and spatially correlated, under Dala…