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math.PR2024
Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates
Pierre Yves Gaudreau Lamarre, Yier Lin
We consider the Stochastic Heat Equation (SHE) in dimensions with delta Dirac initial data and spacetime white noise. We prove exact large-time asymptotics for multi-point…
math.PR2023★ 1 cited
Spacetime limit shapes of the KPZ equation in the upper tails
Yier Lin, Li-Cheng Tsai
We consider the -point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations…
math.PR2022★ 3 cited
Long and short time laws of iterated logarithms for the KPZ fixed point
Sayan Das, Promit Ghosal, Yier Lin
We consider the KPZ fixed point starting from a general class of initial data. In this article, we study the growth of the large peaks of the KPZ fixed point at a spatial point …