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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.PR2023★ 1 cited
High moments of the SHE in the clustering regimes
Li-Cheng Tsai
We analyze the high moments of the Stochastic Heat Equation (SHE) via a transformation to the attractive Brownian Particles (BPs), which are Brownian motions interacting via pairwi…